A Fredholm Determinant for Semi-classical Quantization

Preprint

27 July 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.chao-dyn/9307014

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-$d$ map.

Keywords

CLASSICAL QUANTIZATION
FREDHOLM DETERMINANT
HYPERBOLIC FLOWS
CONVERGENCE THAN
SEMI CLASSICAL
QUANTIZATION
CONJECTURE
MODEL

All Related Versions

Version 1, 1993-07-27, ArXiv
Published version: Chaos: An Interdisciplinary Journal of Nonlinear Science, 3 (4), 619.

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