A New Determinant for Quantum Chaos
chao-dyn
2008-02-03 v1 Chaotic Dynamics
Abstract
We propose a new type of approximation to quantum determinants, ``quantum Fredholm determinant", and conjecture that, compared to the quantum Selberg zeta functions derived from Gutzwiller semiclassical trace formulas, such determinants have a larger domain of analyticity for Axiom A hyperbolic systems. The conjecture is supported by a numerical investigation of the 3-disk repeller.
Keywords
Cite
@article{arxiv.chao-dyn/9304003,
title = {A New Determinant for Quantum Chaos},
author = {Predrag Cvitanović and Per E. Rosenqvist},
journal= {arXiv preprint arXiv:chao-dyn/9304003},
year = {2008}
}
Comments
Contribution to the proceedings of the International School for Advanced Studies workshop ``From Classical to Quantum Chaos", Trieste, July 1992; {\em Nuovo Cimento}, to appear