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 …

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 …

[图书][B] Quantum signatures of chaos

F Haake - 1991 - Springer
The distinction between level clustering and level repulsion is one of the quantum
analogues of the classical distinction between globally regular and predominantly chaotic …

Manifestations of classical phase space structures in quantum mechanics

O Bohigas, S Tomsovic, D Ullmo - Physics Reports, 1993 - Elsevier
Using two coupled quartic oscillators for illustration, the quantum mechanics of simple
systems whose classical analogs have varying degrees of non-integrability is investigated …

Quantum effects in Coulomb blockade

IL Aleiner, PW Brouwer, LI Glazman - Physics Reports, 2002 - Elsevier
We review the quantum interference effects in a system of interacting electrons confined to a
quantum dot. The review starts with a description of an isolated quantum dot. We discuss the …

Random unitary matrices

K Zyczkowski, M Kus - Journal of Physics A: Mathematical and …, 1994 - iopscience.iop.org
Methods of constructing random matrices typical of circular unitary and circular orthogonal
ensembles are presented. We generate numerically random unitary matrices and show that …

Chaos-assisted tunneling

S Tomsovic, D Ullmo - Physical Review E, 1994 - APS
We discuss and give evidence for the existence of a new mechanism for quantum dynamical
tunneling. It may occur when a quantum system's underlying classical dynamics are far from …

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 …

Models of intermediate spectral statistics

EB Bogomolny, U Gerland, C Schmit - Physical Review E, 1999 - APS
Based on numerical results it is conjectured that the spectral statistics of certain
pseudointegrable billiards have a special form similar to that of the Anderson model at the …

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 …