Random Wave Functions with boundary and normalization constraints: Quantum statistical physics meets quantum chaos
Chaotic Dynamics
2008-01-09 v1 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Quantum Physics
Abstract
We present an improved version of Berry's ansatz able to incorporate exactly the existence of boundaries and the correct normalization of the eigenfunction into an ensemble of random waves. We then reformulate the Random Wave conjecture showing that in its new version it is a statement about the universal nature of eigenfunction fluctuations in systems with chaotic classical dynamics. The emergence of the universal results requires the use of both semiclassical methods and a new expansion for a very old problem in quantum statistical physics
Cite
@article{arxiv.0801.1197,
title = {Random Wave Functions with boundary and normalization constraints: Quantum statistical physics meets quantum chaos},
author = {Juan Diego Urbina and Klaus Richter},
journal= {arXiv preprint arXiv:0801.1197},
year = {2008}
}
Comments
Contribution to the Chladni meeting, Wittemberg 24-28 June 2006. Slightly improved version of published paper