Publikationen Main

• J. Heckötter, A. Farenbruch, D. Fröhlich, M. Aßmann, D. R. Yakovlev, M. Bayer, M. A. Semina, M. M. Glazov, P. Rommel, J. Ertl, J. Main, H. Stolz
  The energy level spectrum of the yellow excitons in cuprous oxide
  Phys. Rep. 1100, 1-69 (2025)

• J. Ertl, S. Rentschler, J. Main
  Ryberg excitons in cuprous oxide: A two-particle system with classical chaos
  Chaos 34, 103104 (2024)
  
• P. A. Belov, F. Morawetz, S. O. Krüger, N. Scheuler, P. Rommel, J. Main, H. Giessen, S. Scheel
  Energy states of Rydberg excitons in finite crystals: From weak to strong confinement
  Phys. Rev. B 109, 235404 (2024)
• N. Scheuler, P. Rommel, J. Main, P. A. Belov
  Resonance energies and linewidths of Rydberg excitons in Cu₂O
  Phys. Rev. B 109, 165440 (2024)
• J. Ertl, M. Marquardt, M. Schumacher, P. Rommel, J. Main, M. Bayer
  Classical dynamics and semiclassical analysis of excitons in cuprous oxide
  Phys. Rev. B 109, 165203 (2024)
• P. Egenlauf, P. Rommel, J. Main
  Gaussian-process-regression-based method for the localization of exceptional points in complex resonance spectra
  Mach. Learn.: Sci. Technol. 5, 015045 (2024)

• M. Maihöfer, J. Reiff, J. Main, R. Hernandez
  Transition state theory characterizes thin film macrospin dynamics driven by an oscillatory magnetic field: Inertial effects
  Commun. Nonlinear Sci. Numer. Simulat. 115, 106764 (2022)
• J. Ertl, M. Marquardt, M. Schumacher, P. Rommel, J. Main, M. Bayer
  Signatures of Exciton Orbits in Quantum Mechanical Recurrence Spectra of Cu₂O
  Phys. Rev. Lett. 129, 067401 (2022)
• M. M. Schleeh, J. Reiff, P. L. García-Müller, R. M. Benito, F. Borondo, J. Main, R. Hernandez
  Mean  first-passage times for solvated LiCN isomerization at intermediate to high temperatures
  J. Chem. Phys. 156, 034103 (2022)
• J. Mögerle, R. Schuldt, J. Reiff, J. Main, R. Hernandez
  Transition state dynamics of a driven magnetic free layer
  Commun. Nonlinear Sci. Numer. Simulat. 105, 106054 (2022)
• J. Reiff, J. Zatsch, J. Main, R. Hernandez
  On the stability of satellites at unstable libration points of sun-planet-moon systems
  Commun. Nonlinear Sci. Numer. Simulat. 104, 106053 (2022)

• J. Heckötter, P. Rommel, J. Main, M. Aßmann, M. Bayer
  Analysis of the  fine structure of the D-exciton shell in cuprous oxide
  Phys. Status Solidi RRL 15, 2100335 (2021)
• J. Reiff, R. Bardakcioglu, M. Feldmaier, J. Main, R. Hernandez
  Controlling reaction dynamics in chemical model systems through external driving
  Physica D 427, 133013 (2021)
• P. Rommel, J. Main, S. O. Krüger, S. Scheel
  Interseries dipole transitions from yellow to green excitons in cuprous oxide
  Phys. Rev. B 104, 085204 (2021)
• P. Rommel, J. Main, A. Farenbruch, D. R. Yakovlev, M. Bayer
  Exchange interaction in the yellow exciton series of cuprous oxide
  Phys. Rev. B 103, 075202 (2021)
  
• J. Reiff, M. Feldmaier, J. Main, R. Hernandez
  Dynamics and decay rates of a time-dependent two-saddle system
  Phys. Rev. E 103, 022121 (2021)

• R. Bardakcioglu, J. Reiff, M. Feldmaier, J. Main, R. Hernandez
  Thermal decay rates of an activated complex in a driven model chemical reaction
  Phys. Rev. E 102, 062204 (2020)
• M. Kuchelmeister, J. Reiff, J. Main, R. Hernandez
  Dynamics and bifurcations on the normally hyperbolic invariant manifold of a periodically driven system with rank-1 saddle
  Regul. Chaot. Dyn. 25, 496-507 (2020)
• M. Feldmaier, J. Reiff, R. M. Benito, F. Borondo, J. Main, R. Hernandez
  Influence of external driving on decays in the geometry of the LiCN isomerization
  J. Chem. Phys. 153, 084115 (2020)
• D. Dizdarevic, H. Cartarius, J. Main, G. Wunner
  Balancing gain and loss in symmetrised multi-well potentials
  J. Phys. A  53, 405304 (2020)
• J. Ertl, P. Rommel, M. Mom, J. Main, M. Bayer
  Classical and semiclassical description of Rydberg excitons in cuprous oxide
  Phys. Rev. B 101, 241201(R) (2020)
• P. Rommel, J. Main, A. Farenbruch, J. Mund, D. Fröhlich, D. R. Yakovlev, M. Bayer, Ch. Uihlein
  Second harmonic generation of cuprous oxide in magnetic fields
  Phys. Rev. B 101, 115202 (2020)
• P. Rommel, P. Zielinski, J. Main
  Green exciton series in cuprous oxide
  Phys. Rev. B 101, 075208 (2020)
• M. Tschöpe, M. Feldmaier, J. Main, R. Hernandez
  Neural network approach for the dynamics on the normally hyperbolic invariant manifold of periodically driven systems
  Phys. Rev. E 101,  022219 (2020)
• P. Zielinski, P. Rommel, F. Schweiner, J. Main
  Rydberg excitons in electric and magnetic fields obtained with the complex-coordinate-rotation method
  J. Phys. B 53, 054004 (2020)

• S. Altinisik, D. Dizdarevic, J. Main
  Balanced gain and loss in spatially extended non-PT-symmetric multiwell potentials
  Phys. Rev. A 100, 063639 (2019)
• M. Feldmaier, R. Bardakcioglu, J. Reiff, J. Main, R. Hernandez
  Phase-space resolved rates in driven multidimensional chemical reactions
  J. Chem. Phys. 151, 244108 (2019)
• F. Kogel, S. Kotzur, D. Dizdarevic, J. Main, G. Wunner
  Realization of PT-symmetric and PT-symmetry broken states in static optical potential lattices
  Phys. Rev. A 99, 063610 (2019)
• M. Feldmaier, P. Schraft, R. Bardakcioglu, J. Reiff, M. Lober, M. Tschöpe, A. Junginger, J. Main, T. Bartsch, R. Hernandez
  Invariant manifolds and rate constants in driven chemical reactions
  J. Phys. Chem. B 123, 2070 (2019)

• R. Bardakcioglu, A. Junginger, M. Feldmaier, J. Main, R. Hernandez
  Binary contraction method for the construction of time-dependent dividing surfaces in driven chemical reactions
  Phys. Rev. E 98, 032204 (2018)
• P. Rommel, F. Schweiner, J. Main, J. Heckötter, M. Freitag, D. Fröhlich, K. Lehninger, M. Aßmann, M. Bayer
  Magneto-Stark-effect of yellow excitons in cuprous oxide
  Phys. Rev. B 98, 085206 (2018)
• F. Dangel, M. Wagner, H. Cartarius, J. Main, G. Wunner
  Topological invariants in dissipative extensions of the Su-Schrieffer-Heeger model
  Phys. Rev. A 98, 013628 (2018)
• M. Klett, H. Cartarius, D. Dast, J. Main, G. Wunner
  Topological edge states in the Su-Schrieffer-Heeger model subject to balanced particle gain and loss
  Eur. Phys. J. D 72, 214 (2018)
• L. Oberreiter, J. Burkhardt, J. Main, G. Wunner
  Population transfer at exceptional points in the spectra of the hydrogen atom in parallel electric and magnetic fields
  Phys. Rev. A 98, 013417 (2018)
• T. Mathea, D. Dast, D. Dizdarevic, H. Cartarius, J. Main, G. Wunner
  Using mixed many-body particle states to generate exact PT-symmetry in a time-dependent four-well system
  J. Phys. A 51, 315303 (2018)
• P. Schraft, A. Junginger, M. Feldmaier, R. Bardakcioglu, J. Main, G. Wunner, R. Hernandez
  Neural network approach to time-dependent dividing surfaces in classical reaction dynamics
  Phys. Rev. E 97, 042309 (2018)
• D. Dizdarevic, J. Main, K. Alpin, J. Reiff, D. Dast, H. Cartarius, G. Wunner
  Realization of balanced gain and loss in a time-dependent four-mode Bose-Hubbard model
  Phys. Rev. A 97, 013623 (2018)

• F. Schweiner, J. Laturner, J. Main, G. Wunner
  Crossover between the Gaussian orthogonal ensemble, the Gaussian unitary ensemble, and Poissonian statistics
  Phys. Rev. E 96, 052217 (2017)
• F. Schweiner, J. Ertl, J. Main, G. Wunner, Ch. Uihlein
  Exciton-polaritons in cuprous oxide: Theory and comparison with experiment
  Phys. Rev. B 96, 245202 (2017)
  Supplemental Material: PDF
• J. Schnabel, H. Cartarius, J. Main, G. Wunner, W. D. Heiss
  Simple models of three coupled PT-symmetric wave guides allowing for third-order exceptional points
  Acta Polytechnica 57, 454 - 461 (2017)
• M. Wagner, F. Dangel, H. Cartarius, G. Wunner, J. Main
  Numerical calculation of the complex Berry phase in non-Hermitian systems
  Acta Polytechnica 57, 470 - 476 (2017)
• D. Dast, D. Haag, H. Cartarius, J. Main, G. Wunner
  Stationary states in the many-particle description of Bose-Einstein condensates with balanced gain and loss
  Phys. Rev. A 96, 023625 (2017)
• F. Schweiner, P. Rommel, J. Main, G. Wunner
  Exciton-phonon interaction breaking all antiunitary symmetries in external magnetic fields
  Phys. Rev. B 96, 035207 (2017)
• N. Liebermann, J. Main, G. Wunner
  Exceptional points in the elliptical three-disk scatterer using semiclassical periodic orbit quantization
  Europhys. Lett. 118, 30006 (2017)
• J. Schnabel, H. Cartarius, J. Main, G. Wunner, W. D. Heiss
  PT-symmetric wave guide system with evidence of a third-order exceptional point
  Phys. Rev. A 95, 053868 (2017)
• F. Schweiner, J. Main, G. Wunner
  GOE-GUE-Poisson transitions in the nearest-neighbor spacing distribution of magnetoexcitons
  Phys. Rev. E 95, 062205 (2017)
• A. Junginger, L. Duvenbeck, M. Feldmaier, J. Main, G. Wunner, R. Hernandez
  Chemical dynamics between wells across a time-dependent barrier: Self-similarity in the Lagrangian descriptor and reactive basins
  J. Chem. Phys. 147, 064101 (2017)
• L. Schwarz, H. Cartarius, Z. H. Musslimani, J. Main, G. Wunner
  Vortices in Bose-Einstein condensates with PT-symmetric gain and loss
  Phys. Rev. A 95, 053613 (2017)
• F. Schweiner, J. Main, G. Wunner, Ch. Uihlein
  Even exciton series in Cu₂O
   Phys. Rev. B 95, 195201 (2017)
• M. Klett, H. Cartarius, D. Dast, J. Main, G. Wunner
  Relation between PT-symmetry breaking and topologically nontrivial phases in the Su-Schrieffer-Heeger and Kitaev models
  Phys. Rev. A 95, 053626 (2017)
• M. Feldmaier, A. Junginger, J. Main, G. Wunner, R. Hernandez
  Obtaining time-dependent multidimensional dividing surfaces using Lagrangian descriptors
  Chem. Phys. Lett. 687, 194 (2017)
• A. Junginger, J. Main, G. Wunner, R. Hernandez
  Variational principle for the determination of unstable periodic orbits and instanton trajectories at saddle points
  Phys. Rev. A 95, 032130 (2017)
• A. Junginger, J. Main, G. Wunner
  Construction of Darboux coordinates and Poincaré-Birkhoff normal forms in noncanonical Hamiltonian systems
  Physica D 348, 12 (2017)
• F. Schweiner, J. Main, G. Wunner
  Magnetoexcitons break antiunitary symmetries
  Phys. Rev. Lett. 118, 046401 (2017)
• F. Schweiner, J. Main, G. Wunner, M. Freitag, J. Heckötter, Ch. Uihlein, M. Aßmann, D. Fröhlich, M. Bayer
  Magnetoexcitons in cuprous oxide
  Phys. Rev. B 95, 035202 (2017)

• R. Gutöhrlein, H. Cartarius, J. Main, G. Wunner
  Bifurcations and exceptional points in a PT-symmetric dipolar Bose-Einstein condensate
  J. Phys. A 49, 485301 (2016)
• T. Ilg, R. Tschüter, A. Junginger, J. Main, G. Wunner
  Dynamics of solitons in the one-dimensional nonlinear Schrödinger equation
  Eur. Phys. J. D 70, 232 (2016)
• D. Dast, D. Haag, H. Cartarius, J. Main, G. Wunner
  Bose-Einstein condensates with balanced gain and loss beyond mean-field theory
  Phys. Rev. A 94, 053601 (2016)
• F. Schweiner, J. Main, G. Wunner, Ch. Uihlein
  K-dependent exchange interaction of the 1S orthoexciton in Cu₂O
  Phys. Rev. B 94, 115201 (2016)
• M. Feldmaier, J. Main, F. Schweiner, H. Cartarius, G. Wunner
  Rydberg systems in parallel electric and magnetic fields: an improved method for finding exceptional points
  J. Phys. B 49, 144002 (2016)
• F. Schweiner, J. Main, M. Feldmaier, G. Wunner, Ch. Uihlein
  Impact of the valence band structure of Cu₂O on excitonic spectra
  Phys. Rev. B 93, 195203 (2016)
• F. Schweiner, J. Main, G. Wunner
  Linewidths in excitonic absorption spectra of cuprous oxide
  Phys. Rev. B 93, 085203 (2016)
• M. Kreibich, J. Main, H. Cartarius, G. Wunner
  Tilted optical lattices with defects as realizations of PT symmetry in Bose-Einstein condensates
  Phys. Rev. A 93, 023624 (2016)
• H. Menke, M. Klett, H. Cartarius, J. Main, G. Wunner
  State flip at exceptional points in atomic spectra
  Phys. Rev. A 93, 013401 (2016)

• L. Schwarz, H. Cartarius, G. Wunner, W. D. Heiss, J. Main
  Fano resonances in scattering: an alternative perspective
  Eur. Phys. J. D 69, 196 (2015)
• R. Gutöhrlein, J. Schnabel, I. Iskandarov, H. Cartarius, J. Main, G. Wunner
  Realizing PT-symmetric BEC subsystems in closed Hermitian systems
  J. Phys. A 48, 335302 (2015)
• D. Dizdarevic, D. Dast, D. Haag, J. Main, H. Cartarius, G. Wunner
  Cusp bifurcation in the eigenvalue spectrum of PT-symmetric Bose-Einstein condensates
  Phys. Rev. A 91, 033636 (2015)
• A. Junginger, T. Schaller, G. Hämmerling, J. Main, G. Wunner
  Normal form expansions and thermal decay rates of Bose-Einstein condensates with short- and long-range interaction
  Eur. Phys. J. D 69, 83 (2015)
• F. Schweiner, J. Main, H. Cartarius, G. Wunner
  Classical dynamics and localization of resonances in the high-energy region of the hydrogen atom in crossed fields
  Phys. Rev. E 91, 012915 (2015)
• J. Brinker, J. Fuchs, J. Main, G. Wunner, H. Cartarius
  Verification of exceptional points in the collapse dynamics of Bose-Einstein condensates
  Phys. Rev. A 91, 013609 (2015)
• D. Dast, D. Haag, H. Cartarius, G. Wunner, R. Eichler, J. Main
  Description of Bose-Einstein condensates in PT-symmetric double wells
  Proceedings of the International Symposium on Self-Organization in Complex Systems: The Past, Present, and Future of Synergetics, Delmenhorst 2012, A. Pelster, G. Wunner (Eds.), Springer Series Understanding Complex Systems, pp. 129 - 144 (2015)

• F. Single, H. Cartarius, G. Wunner, J. Main
  Coupling approach for the realization of a PT-symmetric potential for a Bose-Einstein condensate in a double well
  Phys. Rev. A 90, 042123 (2014)
• M. Kreibich, J. Main, H. Cartarius, G. Wunner
  Realizing PT-symmetric non-Hermiticity with ultra-cold atoms and Hermitian multi-well potentials
  Phys. Rev. A 90, 033630 (2014)
• R. Fortanier, D. Dast, D. Haag, H. Cartarius, J. Main, G. Wunner, R. Gutöhrlein
  Dipolar Bose-Einstein condensates in a PT-symmetric double-well potential
  Phys. Rev. A 89, 063608 (2014)
• J. Fuchs, J. Main, H. Cartarius, G. Wunner
  Harmonic inversion analysis of exceptional points in resonance spectra
  J. Phys. A 47, 125304 (2014)
• A. Löhle, H. Cartarius, D. Haag, D. Dast, J. Main, G. Wunner
  Stability of Bose-Einstein condensates in a PT symmetric double-δ potential close to branch points
  Acta Polytechnica 54, 133 - 138 (2014)
• D. Haag, D. Dast, A. Löhle, H. Cartarius, J. Main, G. Wunner
  Nonlinear quantum dynamics in a PT-symmetric double well
  Phys. Rev. A 89, 023601 (2014)

• R. Fortanier, D. Zajec, J. Main, G. Wunner
  Dipolar Bose-Einstein condensates in triple-well potentials
  J. Phys. B 46, 235301 (2013)
• A. Junginger, M. Kreibich, J. Main, G. Wunner
  Transition states and thermal collapse of dipolar Bose-Einstein condensates
  Phys. Rev. A 88, 043617 (2013)
• D. Dast, D. Haag, H. Cartarius, J. Main, G. Wunner
  Eigenvalue structure of a Bose-Einstein condensate in a PT-symmetric double well
  J. Phys. A 46, 375301 (2013)
• R. Gutöhrlein, J. Main, H. Cartarius, G. Wunner
  Bifurcations and exceptional points in dipolar Bose-Einstein condensates
  J. Phys. A 46, 305001 (2013)
• W. D. Heiss, H. Cartarius, G. Wunner, J. Main
  Spectral singularities in PT-symmetric Bose-Einstein condensates
  J. Phys. A 46, 275307 (2013)
• M. Kreibich, J. Main, H. Cartarius, G. Wunner
  Hermitian four-well potential as a realization of a PT-symmetric system
  Phys. Rev. A 87, 051601(R) (2013)
• A. Junginger, J. Main, G. Wunner
  Quantum-classical lifetimes of Rydberg molecules
  J. Phys. B 46, 085201 (2013)
• M. Kreibich, J. Main, G. Wunner
  A variational approach to Bogoliubov excitations and dynamics of dipolar Bose-Einstein condensates
  J. Phys. B 46, 045302 (2013)
• H. Cartarius, D. Dast, D. Haag, G. Wunner, R. Eichler, J. Main
  Stationary and dynamical solutions of the Gross-Pitaevskii equation for a Bose-Einstein condensate in a PT-symmetric double well
  Acta Polytechnica 53, 259 - 267 (2013)
• D. Dast, D. Haag, H. Cartarius, G. Wunner, R. Eichler, J. Main
  A Bose-Einstein condensate in a PT symmetric double well
  Fortschritte der Physik 61, 124 - 139 (2013)

• K. Marquardt, P. Wieland, R. Häfner, H. Cartarius, J. Main, G. Wunner
  Macroscopic quantum tunneling of Bose-Einstein condensates with long-range interaction
  Phys. Rev. A 86, 063629 (2012)
• R. Eichler, D. Zajec, P. Köberle, J. Main, G. Wunner
  Collisions of anisotropic two-dimensional bright solitons in dipolar Bose-Einstein condensates
  Phys. Rev. A 86, 053611 (2012)
• A. Junginger, J. Main, G. Wunner, T. Bartsch
  Symmetry-breaking thermally induced collapse of dipolar Bose-Einstein condensates
  Phys. Rev. A 86, 023632 (2012)
• M. Kreibich, H. Cartarius, J. Main, G. Wunner
  A nonlinear dynamics approach to Bogoliubov excitations of Bose-Einstein condensates
  Proceedings of the "8th International Summer School/Conference LET'S FACE CHAOS THROUGH NONLINEAR DYNAMICS", CAMTP, University of Maribor, Slovenia, 26 June - 10 July 2011
  AIP Conf. Proc., Vol. 1468, pp. 216-222 (2012)
• M. Kreibich, J. Main, G. Wunner
  Relation between the eigenfrequencies of Bogoliubov excitations of Bose-Einstein condensates and the eigenvalues of the Jacobian in a time-dependent variational approach
  Phys. Rev. A 86, 013608 (2012)
• A. Junginger, J. Main, G. Wunner
  Quantum-classical model for the formation of Rydberg molecules
  Phys. Rev. A 86, 012713 (2012)
• A. Junginger, J. Main, G. Wunner, M. Dorwarth
  Transition state theory for wave packet dynamics. I. Thermal decay in metastable Schrödinger systems
  J. Phys. A 45, 155201 (2012)
• A. Junginger, M. Dorwarth, J. Main, G. Wunner
  Transition state theory for wave packet dynamics. II. Thermal decay of Bose-Einstein condensates with long-range interaction
  J. Phys. A 45, 155202 (2012)

• R. Eichler, J. Main, G. Wunner
  Variational calculations for anisotropic solitons in dipolar Bose-Einstein condensates
  Phys. Rev. A 83, 053604 (2011)
• G. Wunner, H. Cartarius, P. Köberle, J. Main, S. Rau
  Exceptional points for nonlinear Schrödinger equations describing Bose-Einstein condensates of ultracold atomic gases
  Acta Polytechnica 51, 95 - 103 (2011)

• J. Gehrke, J. Main, G. Wunner
  Semiclassical quantization of the diamagnetic hydrogen atom with near–action-degenerate periodic-orbit bunches
  Phys. Rev. E 82, 066207 (2010)
• T. Fabčič, J. Main, G. Wunner
  Fictitious time wave packet dynamics in atomic systems
  Z. Naturforsch. 65a, 871 - 876 (2010)
• A. Eberspächer, J. Main, G. Wunner
  Fractal Weyl law for three-dimensional chaotic hard-sphere scattering systems
  Phys. Rev. E 82, 046201 (2010)
• S. Rau, J. Main, G. Wunner
  Variational methods with coupled Gaussian functions for Bose-Einstein condensates with long-range interactions. I. General concept
  Phys. Rev. A 82, 023610 (2010)
• S. Rau, J. Main, H. Cartarius, P. Köberle, G. Wunner
  Variational methods with coupled Gaussian functions for Bose-Einstein condensates with long-range interactions. II. Applications
  Phys. Rev. A 82, 023611 (2010)
• A. Junginger, J. Main, G. Wunner
  Variational calculations on multilayer stacks of dipolar Bose-Einstein condensates
  Phys. Rev. A 82, 023602 (2010)
• H. Cartarius, J. Main, T. Losch, G. Wunner
  Resonance wave functions located at the Stark saddle point
  Phys. Rev. A 81, 063414 (2010)
• S. Rau, J. Main, P. Köberle, G. Wunner
  Pitchfork bifurcations in blood-cell-shaped dipolar Bose-Einstein condensates
  Phys. Rev. A 81, 031605(R) (2010)
• T. Fabčič, J. Main, G. Wunner
  Gaussian wave-packet method for systems with Coulomb interactions
  Nonlinear Phenomena in Complex Systems 13, 38 - 44 (2010)

• H. Cartarius, J. Main, G. Wunner
  Exceptional points in the spectra of atoms in external fields
  Phys. Rev. A 79, 053408 (2009)
• H. Cartarius, J. Main, G. Wunner
  Signatures of the classical transition state in atomic quantum spectra
  Phys. Rev. A 79, 033412 (2009)
• H. Schomerus, J. Wiersig, J. Main
  Lifetime statistics in chaotic dielectric microresonators
  Phys. Rev. A 79, 053806 (2009)
• T. Fabčič, J. Main, G. Wunner
  Fictitious time wave packet dynamics. I. Nondispersive wave packets in the quantum Coulomb problem
  Phys. Rev. A 79, 043416 (2009)
• T. Fabčič, J. Main, G. Wunner
  Fictitious time wave packet dynamics. II. Hydrogen atom in external fields
  Phys. Rev. A 79, 043417 (2009)
• P. Köberle, H. Cartarius, T. Fabčič, J. Main, G. Wunner
  Bifurcations, order, and chaos in the Bose-Einstein condensation of dipolar gases
  New Journal of Physics 11, 023017 (2009)

• G. Wunner, H. Cartarius, T. Fabčič, P. Köberle, J. Main, T. Schwidder
  Nonlinear dynamics of Bose-Einstein condensates with long-range interactions
  Proceedings of the "7th International Summer School/Conference LET'S FACE CHAOS THROUGH NONLINEAR DYNAMICS", CAMTP, University of Maribor, Slovenia, 29 June - 13 July 2008
  AIP Conf. Proc., Vol. 1076, pp. 282-291 (2008)
• H. Cartarius, T. Fabčič, J. Main, G. Wunner
  Dynamics and stability of Bose-Einstein condensates with attractive 1/r interaction
  Phys. Rev. A 78, 013615 (2008)
• S. Bücheler, D. Engel, J. Main, G. Wunner
  Diffusion Monte Carlo calculations for the ground states of atoms and ions in neutron star magnetic fields
  in: Proceedings of the 9th International Conference on "Path Integrals - New Trends and Perspectives", Dresden 2007, edited by W. Janke and A. Pelster, World Scientific, Singapore (2008)
• U. Kuhl, R. Höhmann, J. Main, H.-J. Stöckmann
  Resonance widths in open microwave cavities studied by harmonic inversion
  Phys. Rev. Lett. 100, 254101 (2008)
• J. Wiersig, J. Main
  Fractal Weyl law for chaotic microcavities: Fresnel's laws imply multifractal scattering
  Phys. Rev. E 77, 036205 (2008)
• T. Fabčič, J. Main, G. Wunner
  Time propagation of constrained coupled Gaussian wave packets
  J. Chem. Phys. 128, 044116 (2008)
• H. Cartarius, J. Main, G. Wunner
  Discovery of exceptional points in the Bose-Einstein condensation of gases with attractive 1/r interaction
  Phys. Rev. A 77, 013618 (2008)

• I. Papadopoulos, P. Wagner, G. Wunner, J. Main
  Bose-Einstein condensates with attractive 1/r interaction: The case of self-trapping
  Phys. Rev. A 76, 053604 (2007)
• H. Cartarius, J. Main, G. Wunner
  Exceptional points in atomic spectra
  Phys. Rev. Lett. 99, 173003 (2007)
• S. Bücheler, D. Engel, J. Main, G. Wunner
  Quantum Monte Carlo studies of the ground states of heavy atoms in neutron star magnetic fields
  Phys. Rev. A 76, 032501 (2007)
• T. Bartsch, S. Gekle, J. Main, T. Uzer
  Gluing torus families across a singularity: The lens space for the hydrogen atom in crossed fields
  Prog. Theor. Phys. Suppl. 166, 45 - 55 (2007)
• S. Gekle, J. Main, T. Bartsch
  Torus construction and quantization for the hydrogen atom in crossed electric and magnetic fields
  Nonlinear Phenomena in Complex Systems 10, 164 - 169 (2007)
• T. Fabčič, J. Main, G. Wunner
  Gaussian wave packet dynamics in the diamagnetic H-atom
  Nonlinear Phenomena in Complex Systems 10, 86 - 91 (2007)
• S. Gekle, J. Main, T. Bartsch, T. Uzer
  Hydrogen atom in crossed electric and magnetic fields: Phase space topology and torus quantization via periodic orbits
  Phys. Rev. A 75, 023406 (2007)
• H. Cartarius, J. Main, G. Wunner
  ℏ expansions in semiclassical theories for systems with smooth potentials and discrete symmetries
  Annals of Physics 322, 315 - 340 (2007)

• S. Gekle, J. Main, T. Bartsch, T. Uzer
  Extracting multidimensional phase space topology from periodic orbits
  Phys. Rev. Lett. 97, 104101 (2006)
• J. Main
  Semiclassical quantization of the diamagnetic hydrogen atom at the field-free ionization threshold
  Nonlinear Phenomena in Complex Systems 9, 269 - 275 (2006)
• H. Cartarius, J. Main, G. Wunner
  First-Order ℏ corrections to Gutzwiller's trace formula for systems with discrete symmetries
  Nonlinear Phenomena in Complex Systems 9, 240 - 248 (2006)

T. Fabčič, J. Main, T. Bartsch, G. Wunner
Photoabsorption spectra of the diamagnetic hydrogen atom in the transition regime to chaos: Closed orbit theory with bifurcating orbits
J. Phys. B 38, S219 - S239 (2005)

• J. Main, G. Wunner
  Comment on "Nonclassical paths in the recurrence spectrum of diamagnetic atoms"
  Phys. Rev. Lett. 93, 099301 (2004)
• J. Main, E. Atilgan, H. S. Taylor, G. Wunner
  Classical, semiclassical, and quantum investigations of the four-sphere scattering system
  Phys. Rev. E 69, 056227 (2004)
• S. D. Kunikeev, E. Atilgan, H. S. Taylor, A. L. Kaledin, J. Main
  An application of error reduction and harmonic inversion schemes to the semiclassical calculation of molecular vibrational energy levels
  J. Chem. Phys. 120, 6478 - 6486 (2004)

• T. Bartsch, J. Main, G. Wunner
  Uniform semiclassical approximations on a topologically non-trivial configuration space: The hydrogen atom in an electric field
  Eur. Phys. J. D 25, 129 - 138 (2003)
• T. Bartsch, J. Main, G. Wunner
  Semiclassical quantization of the hydrogen atom in crossed electric and magnetic fields
  Phys. Rev. A 67, 063411 (2003)
• T. Bartsch, J. Main, G. Wunner
  Closed orbits and their bifurcations in the crossed-fields hydrogen atom
  Phys. Rev. A 67, 063410 (2003)
• T. Bartsch
  The Kustaanheimo-Stiefel transformation in geometric algebra
  J. Phys. A 36, 6963 - 6978 (2003)
• T. Bartsch, J. Main, G. Wunner
  The hydrogen atom in an electric field: Closed-orbit theory with bifurcating orbits
  J. Phys. B 36, 1231 - 1254 (2003)

• A. Polimeni, A. Patane, R. K. Hayden, L. Eaves, M. Henini, P. C. Main, K. Uchida, N. Miura, J. Main, G. Wunner
  Linewidth broadening of excitonic luminescence from quantum wells in pulsed magnetic fields
  Physica E 13, 349-352 (2002)
  
• K. Weibert, J. Main, G. Wunner
  Periodic orbit quantization of the closed three-disk billiard as an example of a chaotic system with strong pruning
  Nonlinear Phenomena in Complex Systems 5, 393 - 406 (2002)
• J. Main, G. Wunner, E. Atilgan, H. S. Taylor, P. A. Dando
  Superiority of semiclassical over quantum mechanical calculations for a three-dimensional system
  Phys. Lett. A 305, 176 - 182 (2002)
• T. Bartsch, J. Main, G. Wunner
  Semiclassical quantization with bifurcating orbits
  Phys. Rev. A 66, 033404 (2002)
• K. Weibert, J. Main, G. Wunner
  Higher-order ℏ corrections in the semiclassical quantization of chaotic billiards
  Eur. Phys. J. D 19, 379 - 388 (2002)
• K. Weibert, J. Main, G. Wunner
  Periodic orbit quantization of chaotic systems with strong pruning
  Phys. Lett. A 297, 87 - 91 (2002)

• K. Weibert, J. Main, G. Wunner
  Deterministic diffusion in one-dimensional maps - Calculation of diffusion constants by harmonic inversion of periodic orbit sums
  Phys. Lett. A 292, 120 - 124 (2001)
• K. Weibert, J. Main, G. Wunner
  Periodic orbit quantization of chaotic maps by harmonic inversion
  Phys. Lett. A 289, 329 - 332 (2001)
• T. Bartsch, J. Main, G. Wunner
  Semiclassical quantization by harmonic inversion: Comparison of algorithms
  Phys. Rev. E 64, 056705 (2001)
• J. Main, G. Wunner
  Periodic orbit quantization: How to make semiclassical trace formulae convergent
  Contribution to "Festschrift in honor of Martin Gutzwiller", eds. A. Inomata et al.,
  Foundations of Physics 31, 447 - 474 (2001)

• Dz. Belkic, P. A. Dando, J. Main, H. S. Taylor, S. K. Shin
  Decimated signal diagonalization for Fourier transform spectroscopy
  J. Phys. Chem. A 104, 11677 - 11684 (2000)
  J. Phys. Chem. A 105, 514 (2001) (erratum)
• K. Weibert, J. Main, G. Wunner
  Use of harmonic inversion techniques in the periodic orbit quantization of integrable systems
  Eur. Phys. J. D 12, 381 - 401 (2000)
• T. Bartsch, J. Main, G. Wunner
  Ghost orbit bifurcations in semiclassical spectra
  Prog. Theor. Phys. Suppl. (Kyoto) 139, 429 - 436 (2000)
• Dz. Belkic, P. A. Dando, J. Main, H. S. Taylor
  Three novel high-resolution nonlinear methods for fast signal processing
  J. Chem. Phys. 113, 6542 - 6556 (2000)
• J. Main, P. A. Dando, Dz. Belkic, H. S. Taylor
  Decimation and harmonic inversion of periodic orbit signals
  J. Phys. A 33, 1247 - 1263 (2000)

1999

• Dz. Belkic, P. A. Dando, H. S. Taylor, J. Main
  Decimated signal diagonalization for obtaining the complete eigenspectra of large matrices
  Chem. Phys. Lett. 315, 135 - 139 (1999)
• J. Main, P. A. Dando, Dz. Belkic, H. S. Taylor
  Semiclassical quantization by Padé approximant to periodic orbit sums
  Europhys. Lett. 48, 250 - 256 (1999)
• T. Bartsch, J. Main, G. Wunner
  Uniform approximations for non-generic bifurcation scenarios including bifurcations of ghost orbits
  Annals of Physics 277, 19 - 73 (1999)
• D. Boosé, J. Main
  Distributions of transition matrix elements in classically mixed quantum systems
  Phys. Rev. E 60, 2831 - 2844 (1999)
• J. Main
  Use of harmonic inversion techniques in semiclassical quantization and analysis of quantum spectra
  Physics Reports 316, 233 - 338 (1999)
• J. Main, G. Wunner
  Semiclassical non-trace type formulas for matrix element fluctuations and weighted densities of states
  Phys. Rev. E 60, 1630 - 1638 (1999)
• J. Main, K. Weibert, V. A. Mandelshtam, G. Wunner
  Semiclassical spectra and diagonal matrix elements by harmonic inversion of cross-correlated periodic orbit sums
  Phys. Rev. E 60, 1639 - 1642 (1999)
• J. Main
  Comment on "Recurrences without closed orbits"
  Phys. Rev. A 60, 1726 - 1727 (1999)
• J. Main, G. Wunner
  Periodic orbit quantization of mixed regular-chaotic systems
  Phys. Rev. Lett. 82, 3038 - 3041 (1999)
• J. Main, G. Wunner
  Semiclassical calculation of transition matrix elements for atoms in external fields
  Phys. Rev. A 59, R2548 - R2551 (1999)
• T. Bartsch, J. Main, G. Wunner
  Significance of ghost orbit bifurcations in semiclassical spectra
  J. Phys. A 32, 3013 - 3027 (1999)
• S. Jammalamadaka, J. Main, G. Wunner
  The effect of scars on the statistics of transition probabilities of classically chaotic quantum systems
  Nonlinear Phenomena in Complex Systems 2, 1 - 5 (1999)

1998

• J. Main, K. Weibert, G. Wunner
  ℏ expansion for the periodic orbit quantization by harmonic inversion
  Phys. Rev. E 58, 4436 - 4439 (1998)
• D. Engel, J. Main, G. Wunner
  Higher-order energy level spacing distributions in the transition region between regularity and chaos
  J. Phys. A 31, 6965 - 6974 (1998)
• K. Weibert, J. Main, G. Wunner
  General Rydberg atoms in crossed electric and magnetic fields: Calculation of semiclassical recurrence spectra with special emphasis on core effects
  Annals of Physics 268, 172 - 204 (1998)
• J. Main, V. A. Mandelshtam, G. Wunner, H. S. Taylor
  Harmonic inversion as a general method for periodic orbit quantization
  Nonlinearity 11, 1015 - 1035 (1998)
• J. Main
  Semiclassical quantization and analysis of chaotic systems
  Habilitationsschrift, Ruhr-Universität Bochum, 1998
• J. Main, G. Wunner
  Uniform semiclassical approximations for umbilic bifurcation catastrophes
  Phys. Rev. E 57, 7325 - 7328 (1998)
• J. Main, M. Schwacke, G. Wunner
  Hydrogen atom in combined electric and magnetic fields with arbitrary mutual orientations
  Phys. Rev. A 57, 1149 - 1157 (1998)
• J. Main, G. Wunner
  Atoms in external fields: Ghost orbits, catastrophes, and uniform semiclassical approximations
  In: Proceedings of the 172. WE-Heraeus-Seminar "Atoms and molecules in strong external fields"
  P. Schmelcher and W. Schweizer (ed.), Plenum Press, 223 - 232 (1998)
• J. Main, G. Wunner, V. A. Mandelshtam, H. S. Taylor
  Analysis of quantum spectra by harmonic inversion
  In: Proceedings of the 172. WE-Heraeus-Seminar "Atoms and molecules in strong external fields"
  P. Schmelcher and W. Schweizer (ed.), Plenum Press, 215 - 222 (1998)

1997

• J. Main, V. A. Mandelshtam, H. S. Taylor
  Periodic orbit quantization by harmonic inversion of Gutzwiller's recurrence function
  Phys. Rev. Lett. 79, 825 - 828 (1997)
• J. Main, V. A. Mandelshtam, H. S. Taylor
  High resolution quantum recurrence spectra: Beyond the uncertainty principle
  Phys. Rev. Lett. 78, 4351 - 4354 (1997)
• J. Main, C. Jung, H. S. Taylor
  Extracting the dynamics in classically chaotic quantum systems: Spectral analysis of the HO₂ molecule
  J. Chem. Phys. 107, 6577 - 6583 (1997)
• J. Main, C. Jung, H. S. Taylor
  Spectral analysis of the HO₂ molecule
  In: Highly Excited Molecules: Relaxation, Reaction, and Structure, A. S. Mullin and G. C. Schatz (ed.)
  ACS Symposium Series 678, 39 - 50 (1997)
• C. Jung, J. Main, V. A. Mandelshtam, H. S. Taylor
  The role of unstable invariant sets in chemical reactions
  In: Computational Chemistry and Chemical Engineering: Proceedings of the Third UNAM-CRAY Supercomputing Conference
  G. Cisneros, J. A. Cogordau, M. Castro, and C. Wang (ed.)
  World Scientific, Singapore, 52 - 62 (1997)
• J. Main, G. Wunner
  Hydrogen atom in a magnetic field: Ghost orbits, catastrophes, and uniform semiclassical approximations
  Phys. Rev. A 55, 1743 - 1759 (1997)
• J. Main
  Semiclassical approaches to atoms in external fields
  In: Classical, Semiclassical and Quantum Dynamics in Atoms, B. Eckhardt and H. Friedrich (ed.)
  Lecture Notes in Physics 485, Springer-Verlag, 248 - 273 (1997)

1996

• D. Boosé, J. Main
  Transition matrix elements in mixed quantum systems
  Phys. Lett. A 217, 253 - 258 (1996)
• G. Tanner, K. T. Hansen, J. Main
  Semiclassical calculation of the resonance spectrum of hydrogen in a constant magnetic field
  Nonlinearity 9, 1641 - 1670 (1996)
• B. Hüpper, J. Main, G. Wunner
  Nonhydrogenic Rydberg atoms in a magnetic field: A rigorous semiclassical approach
  Phys. Rev. A 53, 744 - 759 (1996)

1995

• B. Eckhardt, J. Main
  Semiclassical form factor of matrix element fluctuations
  Phys. Rev. Lett. 75, 2300 - 2303 (1995)
• B. Eckhardt, S. Fishman, K. Keating, O. Agam, J. Main, K. Müller
  Approach to ergodicity in quantum wave functions
  Phys. Rev. E 52, 5893 - 5903 (1995)
• D. Boosé, J. Main, B. Mehlig, K. Müller
  Variance of transition amplitudes for hydrogen in a strong magnetic field
  Europhys. Lett. 32, 295 - 300 (1995)
• B. Hüpper, J. Main, G. Wunner
  Photoabsorption of nonhydrogenic Rydberg atoms in a magnetic field: Effects of core-scattered classical orbits
  Phys. Rev. Lett. 74, 2650 - 2653 (1995)
• N. Merani, J. Main, G. Wunner
  Balmer and Paschen bound-free opacities for hydrogen in strong white dwarf magnetic fields
  Astronomy and Astrophysics 298, 193 (1995)
• N. Merani, J. Main, G. Wunner
  Atomic data for bound-bound and bound-free opacities of hydrogen in a strong magnetic field
  In: Astrophysical Applications of Powerful New Databases, S. J. Adelman and W. L. Wiese (ed.),
  ASP Conference Series, Vol. 78, 81 (1995)

1994

• J. Main, G. Wiebusch, K. H. Welge, J. Shaw, J. B. Delos
  Recurrence spectroscopy: Observation and interpretation of large-scale structure in the absorption spectra of atoms in magnetic fields
  Phys. Rev. A 49, 847 - 868 (1994)
• E. Flöthmann, J. Main, K. H. Welge
  The Kepler ellipses of the hydrogen atom in crossed electric and magnetic fields
  J. Phys. B 27, 2821 - 2834 (1994)
• J. Main, G. Wunner
  Rydberg atoms in external fields as an example of open quantum systems with classical chaos
  J. Phys. B 27, 2835 - 2848 (1994)
• J. Main, G. Wunner
  Rydberg systems in external fields: An example of open systems with quantum chaos
  J. Phys. Soc. Jpn. 63A, 73 (1994)
• J. Main, G. Wunner
  Rydberg systems in external fields as an example of open quantum systems with classical chaos
  In: Proceedings of the International Symposium on Quantum Chemistry and Technology in the Mesoscopic Level,
  H. Hasegawa (ed.), Fukui, Japan, 78 (1994)

1992

• J. Main, G. Wunner
  Ericson fluctuations in the chaotic ionization of the hydrogen atom in crossed magnetic and electric fields
  Phys. Rev. Lett. 69, 586 - 589 (1992)
• J. Main, G. Wiebusch, K. H. Welge
  Spectroscopy of the classically chaotic hydrogen atom in magnetic fields
  In: Irregular atomic systems and quantum chaos,
  J. C. Gay (ed.), Gordon and Breach Science Publishers, 241 - 259 (1992)

1991

• J. Main
  Das hochangeregte Wasserstoffatom im Magnetfeld und in gekreuzten magnetischen und elektrischen Feldern
  Dissertation, Universität Bielefeld, 1991
• J. Main, G. Wiebusch, K. H. Welge
  Spectroscopy of the classically chaotic hydrogen atom in magnetic fields
  Comments At. Mol. Phys. 25, 233 - 251 (1991)

1989

• G. Wiebusch, J. Main, K. Krüger, H. Rottke, A. Holle, K. H. Welge
  Hydrogen atom in crossed magnetic and electric fields
  Phys. Rev. Lett. 62, 2821 - 2824 (1989)
• A. Holle, J. Main, G. Wiebusch, H. Rottke, K. H. Welge
  Diamagnetism of the hydrogen atom in the quasi-Landau regime
  In: Lecture Notes in Physics 339,
  F. Ehlotzky (ed.), Springer-Verlag, 230 (1989)

1988

• A. Holle, J. Main, G. Wiebusch, H. Rottke, K. H. Welge
  Quasi-Landau spectrum of the chaotic diamagnetic hydrogen atom
  Phys. Rev. Lett. 61, 161 - 164 (1988)
• A. Holle, J. Main, G. Wiebusch, H. Rottke, K. H. Welge
  Laserspectroscopy of the diamagnetic hydrogen atom in the chaotic regime
  In: Atomic Spectra and Collisions in External Fields,
  K. T. Taylor, M. H. Nayfeh, and C. W. Clark (ed.), Plenum Press, 1 - 8 (1988)

1987

• A. Holle, G. Wiebusch, J. Main, K. H. Welge, G. Wunner, T. Ertl, H. Ruder
  Hydrogenic Rydberg atoms in strong magnetic fields: Theoretical and experimental spectra in the transition region from regularity to irregularity
  Z. Phys. D 5, 279 (1987)
• J. Main, A. Holle, G. Wiebusch, K. H. Welge
  Semiclassical quantization of three-dimensional quasi-Landau resonances under strong field mixing
  Z. Phys. D 6, 295 (1987)

1986

• D. Wintgen, A. Holle, G. Wiebusch, J. Main, H. Friedrich, K. H. Welge
  Precision measurements and exact quantum mechanical calculations for diamagnetic Rydberg states in hydrogen
  J. Phys. B 19, L557 - L561 (1986)
• A. Holle, G. Wiebusch, J. Main, B. Hager, H. Rottke, K. H. Welge
  Diamagnetism of the hydrogen atom in the quasi-Landau regime
  Phys. Rev. Lett. 56, 2594 - 2597 (1986)
• J. Main, G. Wiebusch, A. Holle, K. H. Welge
  New quasi-Landau structure of highly excited atoms: The hydrogen atom
  Phys. Rev. Lett. 57, 2789 - 2792 (1986)