Prof. Achim Richter

Veröffentlichungen zu Nichtlinearer Dynamik und Chaos

Intermediate statistics in singular quarter-ellipse shaped microwave billiards
Barbara Dietz, Achim Richter
J. Phys. A: Math. Theor. 55, 314001 (2022)
Partial Time-Reversal Invariance Violation in a Flat, Superconducting Microwave Cavity with the Shape of a Chaotic Africa Billiard
B. Dietz et al.
Phys. Rev. Lett. 123, 174101 (2019)
From graphene to fullerene: experiments with microwave photonic crystals
B. Dietz, A. Richter
Phys. Scr. 94, 014002 (2019)
Chaos and regularity in the spectra of the low-lying dipole excitations of Cr50,52,54
B. Dietz et al.
Phys. Rev. C 98, 054314 (2018)
Distribution of Off-Diagonal Cross Sections in Quantum Chaotic Scattering: Exact Results and Data Comparison
S. Kumar, B. Dietz, T. Guhr, A. Richter
Phys. Rev. Lett. 119, 244102 (2017)
Von Graphen zu Fulleren
B. Dietz, T. Klaus, M. Miski-Oglu, A.Richter, M. Wunderle
Physik Journal 15, 29 (2016)
Lifshitz and excited-state quantum phase transitions in microwave Dirac billiards
B. Dietz, F. Iachello, M. Miski-Oglu, N. Pietralla, A. Richter, L. von Smekal, J. Wambach
Phys. Rev. B 88, 104101 (2013)
Bound states in sharply bent waveguides: Analytical and experimental approach
S. Bittner, B. Dietz, M. Miski-Oglu, A. Richter, C. Ripp, E. Sadurní, W. P. Schleich
Phys. Rev. E 87, 042912 (2013)
Trace formula for chaotic dielectric resonators tested with microwave experiments
S. Bittner, B. Dietz, R. Dubertrand, J. Isensee, M. Miski-Oglu, A. Richter
Phys. Rev. E 85, 056203 (2012)
Extremal transmission through a microwave photonic crystal and the observation of edge states in a rectangular Dirac billiard
S. Bittner, B. Dietz, M. Miski-Oglu, A. Richter
Phys. Rev. B 85, 064301 (2012)
Application of a trace formula to the spectra of flat three-dimensional dielectric resonators
S. Bittner, E. Bogomolny, B. Dietz, M. Miski-Oglu, and A. Richter
Phys. Rev. E 85, 026203 (2012)
Double-slit experiments with microwave billiards
S. Bittner, B. Dietz, M. Miski-Oglu, P. Oria Iriarte, A. Richter, F. Schäfer
Phys. Rev. E 84, 016221 (2011)
Exceptional Points in a Microwave Billiard with Time-Reversal Invariance Violation
B. Dietz, H. L. Harney, O. N. Kirillov, M. Miski-Oglu, A. Richter, F. Schäfer
Phys. Rev. Lett. 106, 150403 (2011)
Correlation widths in quantum-chaotic scattering
B. Dietz, A. Richter, H.A. Weidenmüller
Phys. Lett. B 697, 313 (2011)
Random matrices and chaos in nuclear physics: Nuclear reactions
G. E. Mitchell, A. Richter, H. A. Weidenmüller
Rev. Mod. Phys. 82, 2845 (2010)
Cross-section fluctuations in chaotic scattering
B. Dietz, H.L. Harney, A. Richter, F. Schäfer, H.A. Weidenmüller
Phys. Lett. B 685, 263 (2010)
Quantum chaotic scattering in microwave resonators
B. Dietz, T. Friedrich, H. L. Harney, M. Miski-Oglu, A. Richter, F. Schäfer, H. A. Weidenmüller
Phys. Rev. E 81, 036205 (2010)
Friedel oscillations in microwave billiards
A. Bäcker, B. Dietz, T. Friedrich, M. Miski-Oglu, A. Richter, F. Schäfer, S. Tomsovic
Phys. Rev. E 80, 066210 (2009)
Avoided-level-crossing statistics in open chaotic billiards
Charles Poli, Barbara Dietz, Olivier Legrand, Fabrice Mortessagne, Achim Richter
Phys. Rev. E 80, 066201 (2009)
Experimental test of a two-dimensional approximation for dielectric microcavities
S. Bittner, B. Dietz, M. Miski-Oglu, P. Oria Iriarte, A. Richter, F. Schäfer
Phys. Rev. A 80, 023825 (2009)
Nonperiodic echoes from quantum mushroom-billiard hats
B. Dietz, T. Friedrich, M. Miski-Oglu, A. Richter, F. Schäfer, T. H. Seligmann
Phys. Rev. E 80, 036212 (2009)
Properties of nodal domains in a pseudointegrable barrier billiard
B. Dietz, T. Friedrich, M. Miski-Oglu, A. Richter, and F. Schäfer
Phys. Rev. E 78, 045201(R) (2008)
Chaotic scattering in the regime of weakly overlapping resonances
B. Dietz, T. Friedrich, H. L. Harney, M. Miski-Oglu, A. Richter, F. Schäfer, H. A. Weidenmüller
Phys. Rev. E 78, 055204(R) (2008)
Superscars in Billiards: A Model for Doorway States in Quantum Spectra
S. Åberg, T. Guhr, M. Miski-Oglu, A. Richter
Phys. Rev. Lett. 100, 204101 (2008)
Bouncing ball orbits and symmetry breaking effects in a three-dimensional chaotic billiard
B. Dietz, B. Mößner, T. Papenbrock, U. Reif, and A. Richter
Phys. Rev. E 77, 046221 (2008)
Spectral fluctuations of billiards with mixed dynamics: From time series to superstatistics
A. Y. Abul-Magd, B. Dietz, T. Friedrich, A. Richter
Phys. Rev. E 77, 046202 (2008)
Superscars, Doorway States and Nodal Domains in a Barrier Billiard
A. Richter
Workshop on Nuclei and Mesoscopic Physics (WNMP 2007) Eds. P. Danielewicz et al.
AIP Conference Proceedings 995, 202 (2008)
Prevalence of marginally unstable periodic orbits in chaotic billiards
E. G. Altmann, T. Friedrich, A. E. Motter, H. Kantz, and A. Richter
Phys. Rev. E 77, 016205 (2008)
Spectral properties of Bunimovich mushroom billiards
B. Dietz, T. Friedrich, M. Miski-Oglu, A. Richter, F. Schäfer
Phys. Rev. E 75, 035203(R) (2007)
Rabi oscillations at exceptional points in microwave billiards
B. Dietz, T. Friedrich, J. Metz, M. Miski-Oglu, A. Richter, F. Schäfer, C. A. Stafford
Phys. Rev. E 75, 027201 (2007)
First Experimental Observation of Superscars in a Pseudointegrable Barrier Billiard
E. Bogomolny, B. Dietz, T. Friedrich, M. Miski-Oglu, A. Richter, F. Schäfer, C. Schmit
Phys. Rev. Lett. 97, 254102 (2006)
Nonperiodic echoes from mushroom billiard hats
B. Dietz, T. Friedrich, M. Miski-Oglu, A. Richter, T. H. Seligman, K. Zapfe
Phys. Rev. E 74, 056207 (2006)
Strength Distributions and Symmetry Breaking in Coupled Microwave Billiards
B. Dietz, T. Guhr, H. L. Harney, A. Richter
Phys. Rev. Lett. 96, 254101 (2006)
On some spectral properties of billiards and nuclei—similarities and differences
A. Richter
Phys. Scr. T 125, 167 (2006)
Spectral statistics in an open parametric billiard system
B. Dietz, A. Heine, A. Richter, O. Bohigas, P. Leboeuf
Phys. Rev. E 73, 035201(R) (2006)
Distribution of resonance strengths in microwave billiards of mixed and chaotic dynamics
C. Dembowski, B. Dietz, T. Friedrich, H.-D. Gräf, H. L. Harney, A. Heine, M. Miski-Oglu, A. Richter
Phys. Rev. E 71, 046202 (2005)
Experimental investigations of chaos-assisted tunneling in a microwave annular billiard
R. Hofferbert, H. Alt, C. Dembowski, H.-D. Gräf, H. L. Harney, A. Heine, H. Rehfeld, A. Richter
Phys. Rev. E 71, 046201 (2005)
Test of a numerical approach to the quantization of billiards
B. Dietz, A. Heine, V. Heuveline, A. Richter
Phys. Rev. E 71, 026703 (2005)
First Experimental Evidence for Quantum Echoes in Scattering Systems
C. Dembowski, B. Dietz, T. Friedrich, H.-D. Gräf, A. Heine, C. Mejía-Monasterio, M. Miski-Oglu, A. Richter, and T. H. Seligman
Phys. Rev. Lett. 93, 134102 (2004)
Encircling an exceptional point
C. Dembowski, B. Dietz, H.-D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, A. Richter
Phys. Rev. E 69, 056216 (2004)
R-matrix theory of driven electromagnetic cavities
F. Beck, C. Dembowski, A. Heine, A. Richter
Phys. Rev. E 67, 066208 (2003)
Observation of a Chiral State in a Microwave Cavity
C. Dembowski, B. Dietz, H.-D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, A. Richter
Phys. Rev. Lett. 90, 034101 (2003)
Phase Shift Experiments Identifying Kramers Doublets in a Chaotic Superconducting Microwave Billiard of Threefold Symmetry
C. Dembowski, B. Dietz, H.-D. Gräf, A. Heine, F. Leyvraz, M. Miski-Oglu, A. Richter, T. H. Seligman
Phys. Rev. Lett. 90, 014102 (2003)
Experimental Test of a Trace Formula for a Chaotic Three-Dimensional Microwave Cavity
C. Dembowski, B. Dietz, H.-D. Gräf, A. Heine, T. Papenbrock, A. Richter, C. Richter
Phys. Rev. Lett. 89, 064101 (2002)
Billardspiel mit Mikrowellen: Die Analogie zwischen Schrödinger-Gleichung und Helmholtz-Gleichung ermöglicht Experimente zum Quantenchaos
A. Richter
Phys. Blätter 57, Nr. 7/8, 59 (2001)
Generic and non-generic features of chaotoc systems: billiards and nuclei
A. Richter
International Symposium on Nuclear Structure Physics: Celebrating the Carrer of Peter von Brentano, Eds. R. Casten et al.
(World Scientific, Singapore, 2001) 197
Wave dynamical chaos: an experimental approach in billiards
A. Richter
Phys. Scr. T 90, 212 (2001)
First Experimental Test of a Trace Formula for Billiard Systems Showing Mixed Dynamics
C. Dembowski, H.-D. Gräf, A. Heine, T. Hesse, H. Rehfeld, A. Richter
Phys. Rev. Lett. 86, 3284 (2001)
Test of Trace Formulas for Spectra of Superconducting Microwave Billiards
A. Richter
Found. Phys. 31, 327 (2001)
Experimental Observation of the Topological Structure of Exceptional Points
C. Dembowski, H.-D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, H. Rehfeld, A. Richter
Phys. Rev. Lett. 86, 787 (2001)
Quantum chaos and wavedynamical chaos in two- and three-dimensional microwave billiards
H. Rehfeld, C. Dembowski, H.-D. Gräf, A. Heine, R. Hofferbert, A.Richter
Physica E 9, 518 (2001)
Gaussian unitary ensemble statistics in a time-reversal invariant microwave triangular billiard
C. Dembowski, H.-D. Gräf, A. Heine, H. Rehfeld, A. Richter, C. Schmit
Phys. Rev. E 62, R4516 (2000)
Frequency and width crossing of two interacting resonances in a microwave cavity
M. Philipp, P. von Brentano, G. Pascovici, A. Richter
Phys. Rev. E 62, 1922 (2000)
First Experimental Evidence for Chaos-Assisted Tunneling in a Microwave Annular Billiard
C. Dembowski, H.-D. Gräf, A. Heine, R. Hofferbert, H. Rehfeld, A. Richter
Phys. Rev. Lett. 84, 867 (2000)
Anderson localization in a string of microwave cavities
C. Dembowski, H.-D. Gräf, R. Hofferbert, H. Rehfeld, A. Richter, T. Weiland
Phys. Rev. E 60, 3942 (2000)
Experimental versus numerical eigenvalues of a Bunimovich stadium billiard: A comparison
H. Alt, C. Dembowski, H.-D. Gräf, R. Hofferbert, H. Rehfeld, A. Richter, and C. Schmit
Phys. Rev. E 60, 2851 (2000)
Playing billiards with microwaves – quantum manifestations of classical chaos
A. Richter
Proceedings of the Workshop „Emerging Applications of Number Theory“
The IMA Volumes in Mathematics and its Applications, Eds. D. H. Hejhal et al.
(Springer, New York, 1999) 479
Coupled Microwave Billiards as a Model for Symmetry Breaking
H. Alt, C. I. Barbosa, H.-D. Gräf, T. Guhr, H. L. Harney, R. Hofferbert, H. Rehfeld, A. Richter
Phys. Rev. Lett. 81, 4847 (1998)
Mode fluctuation distribution for spectra of superconducting microwave billiards
H. Alt, A. Bäcker, C. Dembowski, H.-D. Gräf, R. Hofferbert, H. Rehfeld, A. Richter
Phys. Rev. E 58, 1737 (1998)
Wave Dynamical Chaos in a Superconducting Three-Dimensional Sinai Billiard
H. Alt, C. Dembowski, H.-D. Gräf, R. Hofferbert, H. Rehfeld, A. Richter, R. Schuhmann, T. Weiland
Phys. Rev. Lett. 79, 1026 (1997)
Correlation-hole method for the spectra of superconducting microwave billiards
H. Alt, H.-D. Gräf, T. Guhr, H. L. Harney, R. Hofferbert, H. Rehfeld, A. Richter, P. Schardt
Phys. Rev. E 55, 6674 (1997)
Chaotic dynamics in a three-dimensional superconducting microwave billiard
H. Alt, H.-D. Gräf, R. Hofferbert, C. Rangacharyulu, H. Rehfeld, A. Richter, P. Schardt, A. Wirzba
Phys. Rev. E 54, 2303 (1996)
Decay of classical chaotic systems: The case of the Bunimovich stadium
H. Alt, H.-D. Gräf, H. L. Harney, R. Hofferbert, H. Rehfeld, A. Richter, P. Schardt
Phys. Rev. E 53, 2217 (1996)
Precision test of the Breit-Wigner formula on resonances in a superconducting microwave cavity
H. Alt, P. von Brentano, H.-D. Gräf, R. Hofferbert, M. Philipp, H. Rehfeld, A. Richter, P. Schardt
Phys. Lett. B 366, 7 (1996)
Gaussian Orthogonal Ensemble Statistics in a Microwave Stadium Billiard with Chaotic Dynamics: Porter-Thomas Distribution and Algebraic Decay of Time Correlations
H. Alt, H. -D. Gräf, H. L. Harney, R. Hofferbert, H. Lengeler, A. Richter, P. Schardt, H. A. Weidenmüller
Phys. Rev. Lett. 74, 62 (1995)
Superconducting billiard cavities with chaotic dynamics: An experimental test of statistical measures
H. Alt, H.-D. Gräf, H.L. Harney, R. Hofferbert, H. Lengeler, C. Rangacharyulu, A. Richter, P. Schardt
Phys. Rev. E 50, R1 (1994)
Resonances of a superconducting microwave cavity: A test of the Breit-Wigner formula over a large dynamic range
H. Alt, P. von Brentano, H.-D. Gräf, R.-D. Herzberg, M. Philipp, A. Richter, P. Schardt
Nucl. Phys. A 560, 293 (1993)
Distribution of eigenmodes in a superconducting stadium billiard with chaotic dynamics
H.-D. Gräf, H. L. Harney, H. Lengeler, C. H. Lewenkopf, C. Rangacharyulu, A. Richter, P. Schardt, H. A. Weidenmüller
Phys. Rev. Lett. 69, 1296 (1992)