Diploma thesis
Selbstkreuzungen klassischer Bahnen und spektrale Korrelationen in Billards
(in German, Essen, December 2001)
(in German, Essen, December 2001)
PhD thesis
Periodic-Orbit Approach to Universality in Quantum Chaos
Preprint nlin.CD/0512058
(Duisburg-Essen, submitted September 2005, PhD awarded February 2006)
Preprint nlin.CD/0512058
(Duisburg-Essen, submitted September 2005, PhD awarded February 2006)
Publications
P. Braun, S. Heusler, S. Müller, and F. Haake
Statistics of self-crossings and avoided crossings of periodic orbits in the Hadamard-Gutzwiller model
Eur. Phys. J. B 30, 189 (2002)
S. Müller
Classical basis for quantum spectral fluctuations in hyperbolic systems
Eur. Phys. J. B 34, 305 (2003)
S. Heusler, S. Müller, P. Braun, and F. Haake
Universal spectral form factor for chaotic dynamics
J. Phys. A: Math. Gen. 37, L31 (2004)
S. Müller, S. Heusler, P. Braun, F. Haake, and A. Altland
Semiclassical Foundation of Universality in Quantum Chaos
Phys. Rev. Lett. 93, 014103 (2004)
M. Turek, D. Spehner, S. Müller, and K. Richter
Semiclassical form factor for spectral and matrix element fluctuations of multidimensional chaotic systems
Phys. Rev. E 71, 016210 (2005)
6. S. Müller, S. Heusler, P. Braun, F. Haake, and A. Altland
Periodic-Orbit Theory of Universality in Quantum Chaos
Phys. Rev. E 72, 046207 (2005)
S. Heusler, S. Müller, P. Braun, and F. Haake
Semiclassical Theory of Chaotic Conductors
Phys. Rev. Lett 96, 066804 (2006)
P. Braun, S. Heusler, S. Müller, and F. Haake
Semiclassical Prediction for Shot Noise in Chaotic Cavities
J. Phys. A: Math. Gen. 39, L159-L165 (2006)
T. Nagao, P. Braun, S. Müller, K. Saito, S. Heusler, and F. Haake
Semiclassical Theory for Parametric Correlation of Energy Levels
J. Phys. A: Math. Theor. 40, 47-63 (2007)
S. Müller, S. Heusler, P. Braun, and F. Haake
Semiclassical Approach to Chaotic Quantum Transport
New J. Phys. 9, 12 (2007)
archive version with additional appendices: cond-mat/0610560
S. Heusler, S. Müller, A. Altland, P. Braun, and F. Haake
Periodic-Orbit Theory of Level Correlations
Phys. Rev. Lett. 98, 044103 (2007)
archive version with additional appendix: nlin/0610053
J. P. Keating and S. Müller
Resummation and the semiclassical theory of spectral statistics
Proc. R. Soc. Lond. A 463, 3241 (2007)
P. Braun, S. Müller, and F. Haake
Semiclassical spectral correlator in quasi one-dimensional systems
J. Phys. A: Math. Theor. 41, 395101 (2008)
T. Nagao and S. Müller
The n-level spectral correlations for chaotic systems
J. Phys. A: Math. Theor. 42, 375102 (2009)
S. Müller, S. Heusler, A. Altland, P. Braun, and F. Haake
Periodic-orbit theory of universal level correlations in quantum chaos
New J. Phys. 11, 103025 (2009)
archive version with additional appendices: 0906.2033 [nlin.CD]
K. Saito, T. Nagao, S. Müller, and P. Braun
Semiclassical Theory for Universality in Quantum Chaos with Symmetry Crossover
J. Phys. A: Math. Theor. 42, 495101 (2009)
S. Müller and M. Sieber
Quantum Chaos and Quantum Graphs
The Oxford Handbook of Random Matrix Theory, eds. G. Akemann, J. Baik, and P. Di Francesco (2011)
C.H. Joyner, S. Müller and M. Sieber
Semiclassical approach to discrete symmetries in quantum chaos
J. Phys. A: Math. Theor. 45 205102 (2012)
R.A. Small and S. Müller
Particle diagrams and embedded many-body random matrix theory
Phys. Rev. E 90, 010102(R) (2014)
C.H. Joyner, S. Müller and M. Sieber
GSE statistics without spin
Europhys. Lett. 107, 50004 (2014)
R.A. Small and S. Müller
Particle Diagrams and Statistics of Many-Body Random Potentials
Annals of Physics 356, 269 (2015)
R. Dubertrand and S. Müller
Spectral statistics of chaotic many-body systems
New J. Phys. 18, 033009 (2016)
A. Rehemanjiang, M. Allgaier, C. H. Joyner, S. Müller, M. Sieber, U. Kuhl, H.-J. Stöckmann
A microwave realization of the Gaussian symplectic ensemble
Phys. Rev. Lett. 117, 064101 (2016)
Statistics of self-crossings and avoided crossings of periodic orbits in the Hadamard-Gutzwiller model
Eur. Phys. J. B 30, 189 (2002)
S. Müller
Classical basis for quantum spectral fluctuations in hyperbolic systems
Eur. Phys. J. B 34, 305 (2003)
S. Heusler, S. Müller, P. Braun, and F. Haake
Universal spectral form factor for chaotic dynamics
J. Phys. A: Math. Gen. 37, L31 (2004)
S. Müller, S. Heusler, P. Braun, F. Haake, and A. Altland
Semiclassical Foundation of Universality in Quantum Chaos
Phys. Rev. Lett. 93, 014103 (2004)
M. Turek, D. Spehner, S. Müller, and K. Richter
Semiclassical form factor for spectral and matrix element fluctuations of multidimensional chaotic systems
Phys. Rev. E 71, 016210 (2005)
6. S. Müller, S. Heusler, P. Braun, F. Haake, and A. Altland
Periodic-Orbit Theory of Universality in Quantum Chaos
Phys. Rev. E 72, 046207 (2005)
S. Heusler, S. Müller, P. Braun, and F. Haake
Semiclassical Theory of Chaotic Conductors
Phys. Rev. Lett 96, 066804 (2006)
P. Braun, S. Heusler, S. Müller, and F. Haake
Semiclassical Prediction for Shot Noise in Chaotic Cavities
J. Phys. A: Math. Gen. 39, L159-L165 (2006)
T. Nagao, P. Braun, S. Müller, K. Saito, S. Heusler, and F. Haake
Semiclassical Theory for Parametric Correlation of Energy Levels
J. Phys. A: Math. Theor. 40, 47-63 (2007)
S. Müller, S. Heusler, P. Braun, and F. Haake
Semiclassical Approach to Chaotic Quantum Transport
New J. Phys. 9, 12 (2007)
archive version with additional appendices: cond-mat/0610560
S. Heusler, S. Müller, A. Altland, P. Braun, and F. Haake
Periodic-Orbit Theory of Level Correlations
Phys. Rev. Lett. 98, 044103 (2007)
archive version with additional appendix: nlin/0610053
J. P. Keating and S. Müller
Resummation and the semiclassical theory of spectral statistics
Proc. R. Soc. Lond. A 463, 3241 (2007)
P. Braun, S. Müller, and F. Haake
Semiclassical spectral correlator in quasi one-dimensional systems
J. Phys. A: Math. Theor. 41, 395101 (2008)
T. Nagao and S. Müller
The n-level spectral correlations for chaotic systems
J. Phys. A: Math. Theor. 42, 375102 (2009)
S. Müller, S. Heusler, A. Altland, P. Braun, and F. Haake
Periodic-orbit theory of universal level correlations in quantum chaos
New J. Phys. 11, 103025 (2009)
archive version with additional appendices: 0906.2033 [nlin.CD]
K. Saito, T. Nagao, S. Müller, and P. Braun
Semiclassical Theory for Universality in Quantum Chaos with Symmetry Crossover
J. Phys. A: Math. Theor. 42, 495101 (2009)
S. Müller and M. Sieber
Quantum Chaos and Quantum Graphs
The Oxford Handbook of Random Matrix Theory, eds. G. Akemann, J. Baik, and P. Di Francesco (2011)
C.H. Joyner, S. Müller and M. Sieber
Semiclassical approach to discrete symmetries in quantum chaos
J. Phys. A: Math. Theor. 45 205102 (2012)
R.A. Small and S. Müller
Particle diagrams and embedded many-body random matrix theory
Phys. Rev. E 90, 010102(R) (2014)
C.H. Joyner, S. Müller and M. Sieber
GSE statistics without spin
Europhys. Lett. 107, 50004 (2014)
R.A. Small and S. Müller
Particle Diagrams and Statistics of Many-Body Random Potentials
Annals of Physics 356, 269 (2015)
R. Dubertrand and S. Müller
Spectral statistics of chaotic many-body systems
New J. Phys. 18, 033009 (2016)
A. Rehemanjiang, M. Allgaier, C. H. Joyner, S. Müller, M. Sieber, U. Kuhl, H.-J. Stöckmann
A microwave realization of the Gaussian symplectic ensemble
Phys. Rev. Lett. 117, 064101 (2016)
S. Müller and M. Novaes
Semiclassical calculation of spectral correlation functions of chaotic systems
Phys. Rev. E 98, 052207 (2018)
S. Müller and M. Novaes
Full perturbative calculation of spectral correlation functions for chaotic systems in the unitary symmetry class
Phys. Rev. E 98, 052208 (2018)
Semiclassical calculation of spectral correlation functions of chaotic systems
Phys. Rev. E 98, 052207 (2018)
S. Müller and M. Novaes
Full perturbative calculation of spectral correlation functions for chaotic systems in the unitary symmetry class
Phys. Rev. E 98, 052208 (2018)
Proceedings
A. Altland, P. Braun, F. Haake, S. Heusler, G. Knieper, and S. Müller
Near action-degenerate periodic-orbit bunches: a skeleton of chaos
in Path Integrals - New Trends and Perspectives, Proc. of 9th Int Conference, W. Janke and A. Pelster, eds., World Scientific, 40 (2008)
arXiv: 0906.4930 [nlin.CD]
Near action-degenerate periodic-orbit bunches: a skeleton of chaos
in Path Integrals - New Trends and Perspectives, Proc. of 9th Int Conference, W. Janke and A. Pelster, eds., World Scientific, 40 (2008)
arXiv: 0906.4930 [nlin.CD]