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 …
The statistical theory of quantum dots
Y Alhassid - Reviews of Modern Physics, 2000 - APS
A quantum dot is a sub-micron-scale conducting device containing up to several thousand
electrons. Transport through a quantum dot at low temperatures is a quantum-coherent …
electrons. Transport through a quantum dot at low temperatures is a quantum-coherent …
Random matrices and chaos in nuclear physics: Nuclear structure
HA Weidenmüller, GE Mitchell - Reviews of Modern Physics, 2009 - APS
Evidence for the applicability of random-matrix theory to nuclear spectra is reviewed. In
analogy to systems with few degrees of freedom, one speaks of chaos (more accurately …
analogy to systems with few degrees of freedom, one speaks of chaos (more accurately …
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 …
Random matrix theories and chaotic dynamics
O Bohigas - 1991 - inis.iaea.org
The aim of these lectures is to present a résumé of some of the main ideas, assumptions and
results of the Wigner-Dyson type random matrix theories (RMT) which are relevant in the …
results of the Wigner-Dyson type random matrix theories (RMT) which are relevant in the …
Statistical properties of many-particle spectra V. Fluctuations and symmetries
The manner in which energy-level and strength fluctuations change as a good symmetry is
gradually broken is studied for a wide variety of chaotic systems describable in terms of …
gradually broken is studied for a wide variety of chaotic systems describable in terms of …
Power spectrum analysis and missing level statistics of microwave graphs with violated time reversal invariance
We present experimental studies of the power spectrum and other fluctuation properties in
the spectra of microwave networks simulating chaotic quantum graphs with violated time …
the spectra of microwave networks simulating chaotic quantum graphs with violated time …
Quantum chaotic scattering in microwave resonators
B Dietz, T Friedrich, HL Harney, M Miski-Oglu… - Physical Review E …, 2010 - APS
In a frequency range where a microwave resonator simulates a chaotic quantum billiard, we
have measured moduli and phases of reflection and transmission amplitudes in the regimes …
have measured moduli and phases of reflection and transmission amplitudes in the regimes …
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 …
Experimental test of the Rosenzweig-Porter model for the transition from Poisson to Gaussian unitary ensemble statistics
We report on an experimental investigation of the transition of a quantum system with
integrable classical dynamics to one with violated time-reversal (T) invariance and chaotic …
integrable classical dynamics to one with violated time-reversal (T) invariance and chaotic …