Entire Fredholm determinants for Evaluation of Semi-classical and Thermodynamical Spectra

Preprint

27 July 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.chao-dyn/9307012

Abstract

Proofs that Fredholm determinants of transfer operators for hyperbolic flows are entire can be extended to a large new class of multiplicative evolution operators. We construct such operators both for the Gutzwiller semi-classical quantum mechanics and for classical thermodynamic formalism, and introduce a new functional determinant which is expected to be entire for Axiom A flows, and whose zeros coincide with the zeros of the Gutzwiler-Voros zeta function.

Keywords

CLASSICAL AND THERMODYNAMICAL
MECHANICS AND FOR CLASSICAL
THERMODYNAMICAL SPECTRA
FREDHOLM DETERMINANTS
ENTIRE FREDHOLM
SEMI CLASSICAL
GUTZWILLER
EVOLUTION

All Related Versions

Version 1, 1993-07-27, ArXiv
Published version: Physical Review Letters, 71 (25), 4138.

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