A Fredholm Determinant for Semi-classical Quantization
chao-dyn
2009-10-22 v1 Chaotic Dynamics
Abstract
We investigate a new type of approximation to quantum determinants, the ``\qFd", and test numerically the conjecture that for Axiom A hyperbolic flows such determinants have a larger domain of analyticity and better convergence than the \qS s derived from the \Gt. The conjecture is supported by numerical investigations of the 3-disk repeller, a normal-form model of a flow, and a model 2- map.
Keywords
Cite
@article{arxiv.chao-dyn/9307014,
title = {A Fredholm Determinant for Semi-classical Quantization},
author = {Predrag Cvitanović and Per E. Rosenqvist and Gábor Vattay and Hans Henrik Rugh},
journal= {arXiv preprint arXiv:chao-dyn/9307014},
year = {2009}
}
Comments
Revtex, Ask for figures from [email protected]