Dr Martin M A Sieber

Search results

• 2021

  Diffraction of Wigner functions

  Creagh, S. C., Sieber, M., Gradoni, G. & Tanner, G., 8 Jan 2021, In: Journal of Physics A: Mathematical and Theoretical. 54, 1, 28 p., 015701.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Functions 100%
  • Simulation 66%
  • Ray Tracing 66%
  • Approximation 66%
  • Diffraction 66%
  2 Citations (Scopus)

  8 Downloads (Pure)
• 2018

  Eigenfunction distribution for the Rosenzweig-Porter model

  Bogomolny, E. & Sieber, M., 27 Sep 2018, In: Physical Review E. 98, 3, 5 p., 032139.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Models 100%
  • Statistical Distribution 100%
  • Eigenfunction 100%
  • Rosenzweig 100%
  • Simulation Mode 100%
  19 Citations (Scopus)

  286 Downloads (Pure)

• Power-law random banded matrices and ultrametric matrices: Eigenvector distribution in the intermediate regime

  Bogomolny, E. & Sieber, M., Oct 2018, In: Physical Review E. 98, 4, 8 p., 042116.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Power Law 100%
  • Eigenvector 100%
  • Matrix 75%
  • Regimes 50%
  • Random Matrix 25%
  20 Citations (Scopus)

  285 Downloads (Pure)
• 2016

  Microwave Realization of the Gaussian Symplectic Ensemble

  Rehemanjiang, A., Allgaier, M., Joyner, C., Muller, S., Sieber, M. M. A., Kuhl, U. & Stoeckman, H-J., 5 Aug 2016, In: Physical Review Letters. 117, 6, 5 p., 064101 .

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Microwave 100%
  • Gaussian 50%
  • Symmetry 37%
  • Statistical Ensemble 25%
  • Concentration 12%
  50 Citations (Scopus)

  326 Downloads (Pure)

• Particle creation and annihilation at interior boundaries: One-dimensional models

  Keppeler, S. & Sieber, M. M. A., 11 Feb 2016, In: Journal of Physics A: Mathematical and Theoretical. 49, 12, 27 p., 125204.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Boundary Condition 100%
  • Particle 100%
  • Determinant 100%
  • Creativity 100%
  • Dimensional Model 50%
  13 Citations (Scopus)

  332 Downloads (Pure)
• 2014

  Efficient semiclassical approach for time delays

  Kuipers, J., Savin, D. & Sieber, M., 8 Dec 2014, In: New Journal of Physics. 16, 50 p., 123018.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  • Approach 100%
  • Time 66%
  • Cavity 66%
  • Number 66%
  • Energy 66%
  23 Citations (Scopus)

• GSE statistics without spin

  Joyner, C. H., Muller, S. & Sieber, M. M. A., Sep 2014, In: EPL. 107, 5, 5 p., 50004.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Gaussian 100%
  • Statistical Ensemble 50%
  • Statistics 40%
  • Electron Spin 30%
  • Acceleration 30%
  12 Citations (Scopus)

  24 Downloads (Pure)
• 2012

  Semiclassical approach to discrete symmetries in quantum chaos

  Joyner, C. H., Muller, S. & Sieber, M. M. A., 25 May 2012, In: Journal of Physics A: Mathematical and Theoretical. 45, 20, 24 p., 205102.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Gaussian 100%
  • Quantum Chaos 66%
  • Statistical Ensemble 50%
  • Procedure 33%
  • Symmetry 33%
  12 Citations (Scopus)
• 2011

  Trace formula for a dielectric microdisk with a point scatterer

  Hales, RFM., Sieber, MMA. & Waalkens, H., 15 Apr 2011, In: Journal of Physics A: Mathematical and Theoretical. 44, 15, 33 p., 155305.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Spectrum 100%
  • Diffraction 50%
  • Geometrical Theory of Diffraction 50%
  • Dirichlet Boundary Condition 50%
  9 Citations (Scopus)
• 2009

  Internal and external resonances of dielectric disks

  Dettmann, CP., Morozov, GV., Sieber, MMA. & Waalkens, H., Aug 2009, In: EPL. 87, 3, 6 p., 34003.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Internals 100%
  • Eigenvector 50%
  • Dielectrics 50%
  • Dielectric Material 50%
  • Azimuthal 25%
  26 Citations (Scopus)

• Resonance eigenfunctions in chaotic scattering systems

  Sieber, M., Sep 2009, In: Pramana - Journal of Physics. 73, 3, p. 543-551 9 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Eigenvector 100%
  • Resonance 50%
  • Supports 25%
  • Obtains 25%
  • Scattering 25%
  1 Citation (Scopus)

• Unidirectional emission from circular dielectric microresonators with a point scatterer

  Dettmann, CP., Morozov, GV., Sieber, MMA. & Waalkens, H., 8 Dec 2009, In: Physical Review A: Atomic, Molecular and Optical Physics. 80, 6, 11 p., 063813.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Q Factor 100%
  • Emission 75%
  • Show 50%
  • Scattering 50%
  • Resonance 50%
  57 Citations (Scopus)

  399 Downloads (Pure)
• 2008

  Directional emission from an optical microdisk resonataor with a point scatterer

  Dettmann, CP., Morozov, GV., Sieber, MMA. & Waalkens, H., May 2008, In: EPL. 82, 3, 5 p., 34002.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Design 100%
  • Directional 100%
  • Scatterer 66%
  • Point Scatterers 66%
  • Dielectrics 66%
  25 Citations (Scopus)

• On the resonance eigenstates of an open quantum baker map

  Keating, JP., Nonnenmacher, S., Novaes, M. & Sieber, MMA., Nov 2008, In: Nonlinearity. 21, 11, 34 p., 2591.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Measures 100%
  • Sequences 74%
  • Radius 50%
  • Converges 50%
  • Food Processing Occupations 50%
  24 Citations (Scopus)

• Semiclassical relation between open trajectories and periodic orbits for the Wigner time delay

  Kuipers, JA. & Sieber, MMA., 25 Apr 2008, In: Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. 77, 4, 13 p., 046219.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Trajectory 100%
  • Orbit 100%
  • Periodic Orbit 100%
  • Orbits 100%
  • Time Delay 80%
  25 Citations (Scopus)
• 2007

  Periodic orbit bifurcations and scattering time delay fluctuations

  Keating, J. P., Ozorio De Almeida, A. M., Prado, S. D., Sieber, M. & Vallejos, R., 23 Aug 2007, In: Progress of Theoretical Physics Supplements. 166, p. 10-18 9 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Time Delay 100%
  • Periodic Orbit 75%
  • Fluctuations 75%
  • Power Law 50%
  • Exponents 50%
  1 Citation (Scopus)

• Semiclassical expansion of parametric correlation functions of the quantum time delay

  Kuipers, JA. & Sieber, MMA., Apr 2007, In: Nonlinearity. 20 (4), p. 919 - 926 18 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Parameter 100%
  • Broken Symmetry 100%
  • Expansion 100%
  • Correlation Function 100%
  • Independent Variables 50%
  19 Citations (Scopus)

• Semiclassical universality of parametric spectral correlations

  Kuipers, J. & Sieber, M., 2 Feb 2007, In: Journal of Physics A: Mathematical and Theoretical. 40, 5, p. 935-948 14 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Parametric 100%
  • Symmetry 100%
  • Form Factor 100%
  • Correlation 50%
  • Periodic Orbit 50%
  10 Citations (Scopus)

• Wavefunction, Green functions and expectation values in terms of spectral determinants

  Sieber, MMA., Nov 2007, In: Nonlinearity. 20 (11), p. 2721 - 2737 17 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Tight Binding Model 100%
  • Green's Functions 100%
  • Procedure 66%
  • Trajectory 66%
  • Hamiltonian 66%
  7 Citations (Scopus)
• 2006

  Semiclassical structure of chaotic resonance eigenfunctions

  Keating, JP., Novaes, M., Prado, SD. & Sieber, MMA., Oct 2006, In: Physical Review Letters. 97 (15), p. 1 - 4 4 p., Art. no. 150406.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Eigenstate 100%
  • Structure 50%
  • Resonance 50%
  • Phase Space 25%
  • Eigenfunction 25%
  67 Citations (Scopus)
• 2005

  Universal quantum signature of mixed dynamics in antidot lattices

  Keating, JP., Prado, SD. & Sieber, MMA., 15 Dec 2005, In: Physical Review B: Condensed Matter and Materials Physics. 72 (24) 245334, p. 1 - 7 7 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Periodic Orbit 100%
  • Lattices 100%
  • Approximation 50%
  • Phase Space 50%
  • Orbits 50%
  4 Citations (Scopus)
• 2002

  Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems

  Sieber, MMA., 25 Oct 2002, In: Journal of Physics A: Mathematical and General. 35 (42), p. L613 - L619 7 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Form Factor 100%
  • Approximation 66%
  • Diagonal 66%
  • Terms 33%
  • Symmetry 33%
  87 Citations (Scopus)

• Semiclassical theory of chaotic quantum transport

  Richter, K. & Sieber, MMA., Nov 2002, In: Physical Review Letters. 89 (20), p. 1 - 4 4 p., Art.No.206801.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Conductance 100%
  • Semiclassical Theory 100%
  • Conductivity 100%
  • Quantum Transport 100%
  • Position (Location) 100%
  171 Citations (Scopus)
• 2001

  Correlations between periodic orbits and their rôle in spectral statistics

  Sieber, MMA. & Richter, K., Mar 2001, In: Physica Scripta. T90, p. 128 - 133 6 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Periodic Orbit 100%
  • Correlation 25%
  • Classes 25%
  • Give Rise 25%
  • Approximation 25%
  164 Citations (Scopus)

• Wavefunction localization and its semiclassical description in a 3-dimensional system with mixed classical dynamics

  Brack, M., Sieber, MMA. & Reimann, SM., 2001, In: Physica Scrptia. T90, p. 146 - 149

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • heavy nuclei 39%
  4 Citations (Scopus)
• 2000

  Spectral statistics in chaotic systems with a point interaction

  Sieber, MMA., 2000, In: Journal of Physics A: Mathematical and General. 33, p. 6263 - 6278

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  11 Citations (Scopus)
• 1999

  Geometrical theory of diffraction and spectral statistics

  Sieber, MMA., 1999, In: Journal of Physics A: Mathematical and General. 32, p. 7679 - 7689

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  38 Citations (Scopus)

• Semiclassical treatment of diffraction in billiard systems with a flux line

  Sieber, MMA., 1999, In: Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 60, p. 3982 - 3991

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  15 Citations (Scopus)

• Universality in quantum parametric correlations

  Leboeuf, P. & Sieber, MMA., 1999, In: Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 60, p. 3969 - 3972

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  34 Citations (Scopus)
• 1998

  Billiard systems in three dimensions: the boundary integral equation and the trace formula

  Sieber, MMA., 1998, In: Nonlinearity. 11, p. 1607 - 1623

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  28 Citations (Scopus)

• Uniform approximation for period-quadrupling bifurcations

  Sieber, MMA. & Schomerus, H., 1998, In: Journal of Physics A: Mathematical and General. 31, p. 165 - 183

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  46 Citations (Scopus)
• 1997

  Bifurcations of periodic orbits and uniform approximations

  Schomerus, H. & Sieber, MMA., 1997, In: Journal of Physics A: Mathematical and General. 30, p. 4537 - 4562

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  100 Citations (Scopus)

• Semiclassical interpretation of the mass asymmetry in nuclear fission

  Brack, M., Reimann, SM. & Sieber, MMA., 1997, In: Physical Review Letters. 79, p. 1817 - 1820

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  31 Citations (Scopus)

• Semiclassical transition from an elliptical to an oval billiard

  Sieber, MMA., 1997, In: Journal of Physics A: Mathematical and General. 30, p. 4563 - 4596

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  44 Citations (Scopus)

• Uniform approximation for diffractive contributions to the trace formula in billiard systems

  Sieber, MMA., Pavloff, N. & Schmit, C., 1997, In: Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 55, p. 2279 - 2299

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  31 Citations (Scopus)
• 1996

  Uniform approximation for bifurcations of periodic orbits with high repetition numbers

  Sieber, MMA., 1996, In: Journal of Physics A: Mathematical and General. 29, p. 4715 - 4732

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  53 Citations (Scopus)
• 1995

  Semiclassical quantization of billiards with mixed boundary conditions

  Sieber, M., Primack, H., Smilansky, U., Ussishkin, I. & Schanz, H., 1995, In: Journal of Physics A: Mathematical and General. 28, 17, p. 5041-5078 38 p., 032.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Parametric 100%
  • Spectra 100%
  • Boundary Condition 66%
  • Mixed Boundary Condition 66%
  • Analytical Method 66%
  57 Citations (Scopus)
• 1994

  An exponentially increasing semiclassical spectral form factor for a class of chaotic systems

  Aurich, R. & Sieber, M., 1994, In: Journal of Physics A: Mathematical and General. 27, 6, p. 1967-1979 13 p., 021.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Form Factor 100%
  • Periodic Orbit 75%
  • Orbits 75%
  • Gaussian 50%
  • Statistics 50%
  7 Citations (Scopus)

• Calculation of spectral determinants

  Keating, JP. & Sieber, MMA., 1994, In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. A 447, p. 413 - 437

  Research output: Contribution to journal › Article (Academic Journal) › peer-review
• 1993

  Correlations in the actions of periodic orbits derived from quantum chaos

  Argaman, N., Dittes, FM., Doron, E., Keating, JP., Kitaev, A., Sieber, MMA. & Smilansky, U., 1993, In: Physical Review Letters. 71, p. 4326 - 4329

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  89 Citations (Scopus)

• Crossing the entropy barrier of dynamical zeta functions

  Aurich, R., Bolte, J., Matthies, C., Sieber, M. & Steiner, F., 28 Feb 1993, In: Physica D: Nonlinear Phenomena. 63, 1-2, p. 71-86 16 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Entropy 100%
  • Orbits 33%
  • Value 16%
  • Model 16%
  • Parameter 16%
  6 Citations (Scopus)

• Non-generic spectral statistics in the quantized stadium billiard

  Sieber, M., Smilansky, U., Creagh, S. C. & Littlejohn, R. G., 1993, In: Journal of Physics A: General Physics. 26, 22, p. 6217-6230 14 p., 022.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Spectra 100%
  • Orbit 100%
  • Ball 100%
  • Standard 33%
  • Investigation 33%
  95 Citations (Scopus)
• 1992

  Novel rule for quantizing chaos

  Aurich, R., Matthies, C., Sieber, M. & Steiner, F., 1992, In: Physical Review Letters. 68, 11, p. 1629-1632 4 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Rules 100%
  • Model 33%
  • Approximation 33%
  • Energy Levels 33%
  • Chaos 33%
  51 Citations (Scopus)
• 1991

  Quantization of chaos

  Sieber, M. & Steiner, F., 1991, In: Physical Review Letters. 67, 15, p. 1941-1944 4 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Quantisation 100%
  • Chaos 100%
  • Approximates 50%
  • Periodic Orbit 50%
  • Trace Formula 50%
  88 Citations (Scopus)
• 1990

  Classical and quantum mechanics of a strongly chaotic billiard system

  Sieber, M. & Steiner, F., Aug 1990, In: Physica D: Nonlinear Phenomena. 44, 1-2, p. 248-266 19 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Orbit 100%
  • Periodic Orbit 100%
  • Length 28%
  • Hyperbola 28%
  • Eigenvalue 28%
  87 Citations (Scopus)

• Generalized periodic-orbit sum rules for strongly chaotic systems

  Sieber, M. & Steiner, F., 26 Feb 1990, In: Physics Letters A. 144, 3, p. 159-163 5 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Periodic Orbit 100%
  • Orbit 100%
  • Orbits 100%
  • Sum Rule 66%
  • Quantisation 33%
  49 Citations (Scopus)

• Quantum chaos in the hyperbola billiard

  Sieber, M. & Steiner, F., 3 Sep 1990, In: Physics Letters A. 148, 8-9, p. 415-420 6 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Orbit 100%
  • Hyperbola 100%
  • Gaussian 100%
  • Quantum Chaos 100%
  • Periodic Orbit 100%
  38 Citations (Scopus)
• 1988

  On the trace anomaly of the energy-momentum tensor from the one-loop effective Lagrangian in QED

  Dittrich, W. & Sieber, M., 1988, In: Journal of Physics A: Mathematical and General. 21, p. L711 - L714

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Loop 100%
  • Anomaly 100%
  • Electromagnetic Field 100%
  • Anomalies 100%
  • Lagrangian Function 100%
  6 Citations (Scopus)

• Quantum chaos of the hadamard-gutzwiller model

  Aurich, R., Sieber, M. & Steiner, F., 1988, In: Physical Review Letters. 61, 5, p. 483-487 5 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Quantum Chaos 100%
  • Model 33%
  • Orbits 33%
  • Sum Rule 33%
  • Rules 16%
  86 Citations (Scopus)