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Diploma thesis
Selbstkreuzungen klassischer Bahnen und spektrale Korrelationen in Billards
(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)
Publications
1.
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)
2.
S. Müller
Classical basis for quantum spectral fluctuations in hyperbolic systems
Eur.
Phys. J. B 34, 305 (2003)
3.
S. Heusler, S. Müller, P. Braun, and F. Haake
Universal spectral form factor for chaotic dynamics
J. Phys. A: Math. Gen. 37,
L31 (2004)
4.
S. Müller, S. Heusler, P. Braun, F. Haake, and A. Altland
Semiclassical Foundation of Universality
in Quantum Chaos
Phys. Rev. Lett. 93, 014103 (2004)
5.
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)
7.
S. Heusler, S. Müller, P. Braun, and F. Haake
Semiclassical Theory of Chaotic Conductors
Phys. Rev. Lett 96, 066804 (2006)
8.
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)
9.
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)
10. 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
11. 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
12. J. P.
Keating and S. Müller
Resummation and the semiclassical
theory of spectral statistics
Proc.
R. Soc. Lond. A 463, 3241 (2007)
13. P. Braun,
S. Müller, and F. Haake
Semiclassical spectral correlator in quasi one-dimensional systems
J.
Phys. A: Math. Theor. 41, 395101 (2008)
14. T. Nagao
and S. Müller
The
n-level spectral correlations for chaotic systems
J.
Phys. A: Math. Theor. 42, 375102 (2009)
15. 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]
16. 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)
17. 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)
18. C.H.
Joyner, S. Müller and M. Sieber
Semiclassical approach to discrete
symmetries in quantum chaos
J. Phys. A: Math.
Theor. 45 205102 (2012)
Preprints
- C.H.
Joyner, S. Müller and M. Sieber
GSE
statistics without spin
arXiv:
1302:2554 [math-ph] (2013)
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]
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