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 …

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 …

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 …

Many-body quantum chaos: Recent developments and applications to nuclei

JMG Gómez, K Kar, VKB Kota, RA Molina, A Relaño… - Physics Reports, 2011 - Elsevier
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 …

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 …

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 …

Fundamental neutron physics

JS Nico, WM Snow - Annu. Rev. Nucl. Part. Sci., 2005 - annualreviews.org
▪ Abstract Experiments using slow neutrons address a growing range of scientific issues
spanning nuclear physics, particle physics, astrophysics, and cosmology. The field of …

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 …

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 …

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 …