Random-matrix theories in quantum physics: common concepts
T Guhr, A Müller–Groeling, HA Weidenmüller - Physics Reports, 1998 - Elsevier
We review the development of random-matrix theory (RMT) during the last fifteen years. We
emphasize both the theoretical aspects, and the application of the theory to a number of …
emphasize both the theoretical aspects, and the application of the theory to a number of …
Random matrices and chaos in nuclear physics: Nuclear reactions
GE Mitchell, A Richter, HA Weidenmüller - Reviews of Modern Physics, 2010 - APS
The application of random-matrix theory (RMT) to compound-nucleus (CN) reactions is
reviewed. An introduction into the basic concepts of nuclear scattering theory is followed by …
reviewed. An introduction into the basic concepts of nuclear scattering theory is followed by …
Embedded random matrix ensembles for complexity and chaos in finite interacting particle systems
VKB Kota - Physics Reports, 2001 - Elsevier
Universal properties of simple quantum systems whose classical counter parts are chaotic,
are modeled by the classical random matrix ensembles and their interpolations …
are modeled by the classical random matrix ensembles and their interpolations …
Many-body quantum chaos: Recent developments and applications to nuclei
In the last decade, there has been an increasing interest in the analysis of energy level
spectra and wave functions of nuclei, particles, atoms and other quantum many-body …
spectra and wave functions of nuclei, particles, atoms and other quantum many-body …
Statistics of complex levels of random matrices for decaying systems
F Haake, F Izrailev, N Lehmann, D Saher… - Zeitschrift für Physik B …, 1992 - Springer
We present analytical and numerical results for the level density of a certain class of random
non-Hermitian matrices ℋ= H+ i Г. The conservative part H belongs to the Gaussian …
non-Hermitian matrices ℋ= H+ i Г. The conservative part H belongs to the Gaussian …
Localization in ensemble of sparse random matrices
YV Fyodorov, AD Mirlin - Physical review letters, 1991 - APS
We study a transition from the localized to the delocalized phase in a novel sparse-random-
matrices (SRM) ensemble. Within the scope of a supersymmetric approach it can be …
matrices (SRM) ensemble. Within the scope of a supersymmetric approach it can be …
Parity violation in the compound nucleus
GE Mitchell, JD Bowman, HA Weidenmüller - Reviews of Modern Physics, 1999 - APS
Parity violation in the compound nucleus is reviewed as an example of a wider class of
phenomena: The breaking of a discrete symmetry by a weak interaction in a stochastic or …
phenomena: The breaking of a discrete symmetry by a weak interaction in a stochastic or …
Isospin mixing and spectral fluctuation properties
T Guhr, HA Weidenmüller - Annals of Physics, 1990 - Elsevier
The breaking of isospin symmetry influences the statistical spectral fluctuations
considerably, as shown by a recent experimental analysis of the low energy spectrum of 26 …
considerably, as shown by a recent experimental analysis of the low energy spectrum of 26 …
Quantum chaos and complexity in nuclei
V Zelevinsky - Annual Review of Nuclear and Particle Science, 1996 - annualreviews.org
▪ Abstract A mesoscopic system with strong interaction between constituents, the atomic
nucleus is a good candidate for studying the manifestations of quantum chaos. Recent …
nucleus is a good candidate for studying the manifestations of quantum chaos. Recent …