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 …
The distinction between level clustering and level repulsion is one of the quantum analogues of the classical distinction between globally regular and predominantly chaotic …
A bstract We introduce a framework for quantifying random matrix behavior of 2d CFTs and AdS 3 quantum gravity. We present a 2d CFT trace formula, precisely analogous to the …
The scattering problems of a scalar point particle from an assembly of 1< n<∞ non- overlapping and disconnected hard disks, fixed in the two-dimensional plane, belong to the …
Comparison between formulae for the counting functions of the heights tn of the Riemann zeros and of semiclassical quantum eigenvalues En suggests that the tn are eigenvalues of …
A bstract We conjecture a formula for the spectral form factor of a double-scaled matrix integral in the limit of large time, large density of states, and fixed temperature. The formula …
JM Borwein, DM Bradley, RE Crandall - Journal of Computational and …, 2000 - Elsevier
We provide a compendium of evaluation methods for the Riemann zeta function, presenting formulae ranging from historical attempts to recently found convergent series to curious …
KG Kay - The Journal of chemical physics, 1994 - pubs.aip.org
A semiclassical initial value technique for wave function propagation described by Herman and Kluk [Chem. Phys. 91, 27 (1984)] is tested for systems with two degrees of freedom. It is …