Martin Sieber - Publications

Updated on 03 March 2016. Links go to journal sites and to the e-print server at Los Alamos

Many-Particle Systems

• S. Keppeler and M. Sieber, Particle creation and annihilation at interior boundaries: One-dimensional models J. Phys. A 49 (2016) 125204 [27 pages].
abstract and article e-print

Dielectric Microcavities

• G. V. Morozov, M. Sieber and H. Waalkens, Resonances and emission patterns of optical microdisk resonators with scatterers, Proceedings of the 17th International Conference on Transparent Optical Networks (ICTON 2015) (2015) 1-4.
abstract and article
• C. P. Dettmann, G. V. Morozov, M. Sieber and H. Waalkens, Microdisk resonators with two point scatterers, Proceedings of the 13th International Conference on Transparent Optical Networks (ICTON 2011) (2011) 1-3.
abstract and article
• R. F. M. Hales, M. Sieber and H. Waalkens, Trace formula for a dielectric microdisk with a point scatterer, J. Phys. A 44 (2011) 155305 [33 pages].
abstract and article e-print
• C. P. Dettmann, G. V. Morozov, M. Sieber and H. Waalkens, Unidirectional emission from circular dielectric microresonators with a point scatterer, Phys. Rev. A 80 (2009) 063813 [11 pages].
abstract and article e-print
• C. P. Dettmann, G. V. Morozov, M. Sieber and H. Waalkens, Systematization of all resonance modes in circular dielectric cavities, Proceedings of the 11th International Conference on Transparent Optical Networks (ICTON 2009) (2009) 1-4.
abstract and article
• C. P. Dettmann, G. V. Morozov, M. Sieber and H. Waalkens, Internal and external resonances of dielectric disks, Europhys. Lett. 87 (2009) 34003 [6 pages].
abstract and article e-print
• C. P. Dettmann, G. V. Morozov, M. Sieber and H. Waalkens, TM and TE directional modes of an optical microdisk resonator with a point scatterer, Proceedings of the 10th Anniversary International Conference on Transparent Optical Networks (ICTON 2008) 4 (2008) 65-68.
abstract and article
• C. P. Dettmann, G. V. Morozov, M. Sieber and H. Waalkens, Optical microdisk resonator with a small but finite size scatterer, Proceedings of the 3rd International Conference on Mathematical Modeling of Wave Phenomena (MMWP08) (2008) 287-289.
article
• C. P. Dettmann, G. V. Morozov, M. Sieber and H. Waalkens, Directional emission from an optical microdisk resonators with a point scatterer, Europhys. Lett. 82 (2008) 34002 [5 pages].
abstract and article e-print
• C. P. Dettmann, G. V. Morozov, M. Sieber and H. Waalkens, Far-field emission pattern of a dielectric circular microresonator with a point scatterer, Proceedings of the 9th International Conference on Transparent Optical Networks (ICTON 2007) 4 (2007) 197-199.
abstract and article

Open Chaotic Systems and Chaotic Quantum Transport

• J. Kuipers, D. Savin and M. Sieber, Efficient semiclassical approach for time delays, New. J. Phys 16 (2014) 123018 [50 pages].
abstract and article e-print
• M. Sieber, Resonance eigenfunctions in chaotic scattering systems, Pramana 73 (2009) 543-551.
abstract and article
• J. P. Keating, S. Nonnenmacher, M. Novaes and M. Sieber, On resonance eigenstates of an open quantum baker map, Nonlinearity 21 (2008) 2591-2624.
abstract and article e-print
• J. Kuipers and M. Sieber, Semiclassical relation between open trajectories and periodic orbits for the Wigner time delay, Phys. Rev. E 77 (2008) 046219 [13 pages].
abstract and article e-print
• J. P. Keating, A. M. Ozorio de Almeida, S. D. Prado, M. Sieber and R. Vallejos, Periodic orbit bifurcations and scattering time delay fluctuations, Prog. Theor. Phys. Suppl. 166 (2007) 10-18.
abstract and article e-print
• J. Kuipers and M. Sieber, Semiclassical expansion of parametric correlation functions of the quantum time delay, Nonlinearity 20 (2007) 909-926.
abstract and article e-print
• J. P. Keating, M. Novaes, S. D. Prado and M. Sieber, Semiclassical structure of chaotic resonance eigenfunctions, Phys. Rev. Lett. 97 (2006) 150406 [4 pages].
abstract and article e-print
• J. P. Keating, S. D. Prado and M. Sieber, Universal quantum signature of mixed dynamics in antidot lattices, Phys. Rev. B 72 (2005) 245334 [7 pages].
abstract and article e-print
• K. Richter and M. Sieber, Semiclassical theory of chaotic quantum transport, Phys. Rev. Lett. 89 (2002) 206801 [4 pages].
abstract and article e-print

Spectral Statistics

• A. Rehemanjiang, M. Allgaier, C. H. Joyner, S. Müller, M. Sieber, U. Kuhl and H.-J. Stöckmann A microwave realization of the Gaussian symplectic ensemble,
e-print
• C. H. Joyner, S. Müller and M. Sieber, GSE statistics without spin, Europhys. Lett. 107 (2014) 50004 [5 pages].
abstract and article e-print
• C. H. Joyner, S. Müller and M. Sieber, Semiclassical approach to discrete symmetries in quantum chaos, J. Phys. A 45 (2012) 205102 [24 pages].
abstract and article e-print
• M. Sieber, Semiclassical approach to spectral correlation functions, in Hyperbolic Geometry and Applications in Quantum Chaos and Cosmology, eds. J. Bolte and F. Steiner, Cambridge University Press, Cambridge (2012) 121-142.
book link
• S. Müller and M. Sieber, Quantum chaos and quantum graphs, in The Oxford Handbook of Random Matrix Theory, eds. G. Akemann, J. Baik and P. Di Francesco, Oxford University Press, Oxford (2011) 683-702 book link
• J. Kuipers and M. Sieber, Semiclassical universality of parametric spectral correlations, J. Phys. A 40 (2007) 935-948.
abstract and article e-print
• M. Sieber, Semiclassical approach to spectral correlation functions, Lectures given at the International School "Quantum Chaos on Hyperbolic Manifolds" (Schloss Reisensburg, Guenzburg, Germany 4-11 October 2003), published in LMS Lecture Note Series: 397.
lecture notes
• M. Sieber, Leading Off-Diagonal Approximation for the Spectral Form Factor for Uniformly Hyperbolic Systems, J. Phys. A 35 (2002) L613-L619.
abstract and article e-print
• M. Sieber and K. Richter, Correlations between Periodic Orbits and their Rôle in Spectral Statistics, Physica Scripta T90 (2001) 128-133.
abstract and article
• M. Sieber, Spectral Statistics in Chaotic Systems with a Point Interaction, J. Phys. A 33 (2000) 6263-6278.
abstract and article e-print
• M. Sieber, Geometrical Theory of Diffraction and Spectral Statistics, J. Phys. A 32 (1999) 7679-7689.
abstract and article e-print
• P. Leboeuf and M. Sieber, Universality in Quantum Parametric Correlations, Phys. Rev. E 60 (1999) 3969-3972.
abstract and article e-print
• R. Aurich and M. Sieber, An Exponentially Increasing Spectral Form Factor K(τ) for a Class of Strongly Chaotic Systems, J. Phys. A 27 (1994) 1967-1979.
abstract and article
• N. Argaman, F. Dittes, E. Doron, J. Keating, A. Kitaev, M. Sieber and U. Smilansky, Correlations in the Actions of Periodic Orbits Derived from Quantum Chaos, Phys. Rev. Lett. 71 (1993) 4326-4329.
abstract and article
• M. Sieber, U. Smilansky, S. C. Creagh and R. J. Littlejohn, Non-Generic Spectral Statistics in the Quantized Stadium Billiard, J. Phys. A 26 (1993) 6217-6230.
abstract and article

Semiclassical Treatment of Diffraction

• M. Sieber, Semiclassical Treatment of Diffraction in Billiard Systems with a Flux Line, Phys. Rev. E 60 (1999) 3982-3991.
abstract and article e-print
• M. Sieber, N. Pavloff and C. Schmit, Uniform Approximation for Diffractive Contributions to the Trace Formula in Billiard Systems, Phys. Rev. E 55 (1997) 2279-2299.
abstract and article e-print

Semiclassical Methods in Mixed Systems

• M. Sieber Semiclassical Approximations and Periodic Orbits Expansions in Chaotic and Mixed Systems, Habilitation thesis, Ulm (1998).
overview
• M. Sieber and H. Schomerus, Uniform Approximation for Period-Quadrupling Bifurcations, J. Phys. A 31 (1998) 165-183.
abstract and article e-print
• H. Schomerus and M. Sieber, Bifurcations of Periodic Orbits and Uniform Approximations, J. Phys. A 30 (1997) 4537-4562.
abstract and article e-print
• M. Sieber, Semiclassical Transition from an Elliptical to an Oval Billiard, J. Phys. A 30 (1997) 4563-4596.
abstract and article e-print
• M. Sieber, Uniform Approximation for Bifurcations of Periodic Orbits with High Repetition Numbers, J. Phys. A 29 (1996) 4715-4732.
abstract and article

Semiclassical Methods in Nuclear Physics

• M. Brack, M. Sieber and S. M. Reimann, Wavefunction Localization and its Semiclassical Description in a 3-dimensional System with Mixed Classical Dynamics , Physica Scripta T90 (2001) 146-149.
abstract and article e-print
• M. Brack, P. Meier, S. M. Reimann and M. Sieber, Manifestation of Classical Orbits in Nuclei, Metal Clusters and Quantum Dots, Proceedings of the International Symposium on Similarities and Differences between Atomic Nuclei and Microclusters, Tsukuba, July 1-4,1997, Y. Abe and S. M. Lee (Eds.), American Institute of Physics, (1998) 17-28.
abstract and article
• M. Brack, S. M. Reimann and M. Sieber, Semiclassical Interpretation of the Mass Asymmetry in Nuclear Fission, Phys. Rev. Lett. 79 (1997) 1817-1820.
abstract and article e-print

Semiclassical Methods in Chaotic Systems

• M. Sieber, Wavefunctions, Green functions and expectation values in terms of spectral determinants, Nonlinearity 20 (2007) 2721-2737.
abstract and article e-print
• M. Sieber, Billiard Systems in Three Dimensions: The Boundary Integral Equation and the Trace Formula, Nonlinearity 11 (1998) 1607-1623.
abstract and article e-print
• M. Sieber, H. Primack, U. Smilansky, I. Ussishkin and H. Schanz, Semiclassical Quantization of Billiards with Mixed Boundary Conditions, J. Phys. A 28 (1995) 5041-5078.
abstract and article e-print
• J. P. Keating and M. Sieber, Calculation of Spectral Determinants, Proc. R. Soc. Lond. A 447 (1994) 413-437.
abstract and article
• R. Aurich, J. Bolte, C. Matthies, M. Sieber and F. Steiner, Crossing the Entropy Barrier of Dynamical Zeta Functions Physica D 63 (1993) 71-86.
abstract and article
• M. Sieber, Applications of Periodic-Orbit Theory, Chaos 2 (1992) 35-42.
abstract and article
• R. Aurich, C. Matthies, M. Sieber and F. Steiner, Novel Rule for Quantizing Chaos, Phys. Rev. Lett. 68 (1992) 1629-1632.
abstract and article
• M. Sieber and F. Steiner, Quantization of Chaos, Phys. Rev. Lett. 67 (1991) 1941-1944.
abstract and article
• M. Sieber, The Hyperbola Billiard: A Model for the Semiclassical Quantization of Chaotic Systems, Ph.D. thesis, Hamburg (1991), DESY-Report 91-030.
part 1 and part 2
• M. Sieber and F. Steiner, Quantum Chaos in the Hyperbola Billiard, Phys. Lett. A 148 (1990) 415-420.
abstract and article
• M. Sieber and F. Steiner, Classical and Quantum Mechanics of a Strongly Chaotic Billiard System, Physica D 44 (1990) 248-266.
abstract and article
• M. Sieber and F. Steiner, Generalized Periodic-Orbit Sum Rules for Strongly Chaotic Systems, Phys. Lett. A 144 (1990) 159-163.
abstract and article
• R. Aurich, M. Sieber and F. Steiner, Quantum Chaos of the Hadamard-Gutzwiller Model, Phys. Rev. Lett. 61 (1988) 483-487.
abstract and article

Effective Actions in Quantum Electrodynamics

• W. Dittrich and M. Sieber, On the Trace Anomaly of the Energy-Momentum Tensor from the One-Loop Effective Lagrangian in QED, J. Phys. A 21 (1988) L711-L714.
abstract and article