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 …

Semiclassical initial value treatments of atoms and molecules

KG Kay - Annu. Rev. Phys. Chem., 2005 - annualreviews.org
▪ Abstract This review describes some developments in the theory and application of the
semiclassical initial representation for the treatment of the dynamical and static properties of …

Chaos and quantum thermalization

M Srednicki - Physical review e, 1994 - APS
We show that a bounded, isolated quantum system of many particles in a specific initial state
will approach thermal equilibrium if the energy eigenfunctions which are superposed to form …

Quantum chaos

HJ Stöckmann - Quantum Chaos, 2007 - ui.adsabs.harvard.edu
Quantum Chaos - NASA/ADS Now on home page ads icon ads Enable full ADS view NASA/ADS
Quantum Chaos Stöckmann, Hans-Jürgen Abstract Preface; 1. Introduction; 2. Billiard …

[图书][B] Introduction to mesoscopic physics

Y Imry - 2002 - books.google.com
Mesoscopic physics refers to the physics of structures larger than a nanometer (one billionth
of a meter) but smaller than a micrometer (one millionth of a meter). This size range is the …

Geometrical structure of Laplacian eigenfunctions

DS Grebenkov, BT Nguyen - siam REVIEW, 2013 - SIAM
We summarize the properties of eigenvalues and eigenfunctions of the Laplace operator in
bounded Euclidean domains with Dirichlet, Neumann, or Robin boundary condition. We …

Integral expressions for the semiclassical time‐dependent propagator

KG Kay - The Journal of chemical physics, 1994 - pubs.aip.org
Rather general expressions are derived which represent the semiclassical time‐dependent
propagator as an integral over initial conditions for classical trajectories. These allow one to …

[图书][B] The semiclassical way to dynamics and spectroscopy

EJ Heller - 2018 - books.google.com
A graduate-level text that examines the semiclassical approach to quantum mechanics
Physical systems have been traditionally described in terms of either classical or quantum …

Between classical and quantum

NP Landsman - Handbook of the Philosophy of Science, 2006 - books.google.com
Most modern physicists and philosophers would agree that a decent interpretation of
quantum mechanics should fullfil at least two criteria. Firstly, it has to elucidate the physical …

Numerical study of semiclassical initial value methods for dynamics

KG Kay - The Journal of chemical physics, 1994 - pubs.aip.org
We present numerical tests of five related semiclassical techniques for computing time‐
dependent wave functions. These methods are based on integral representations for the …