Entire Fredholm determinants for evaluation of semiclassical and thermodynamical spectra
- 20 December 1993
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 71 (25) , 4138-4141
- https://doi.org/10.1103/physrevlett.71.4138
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.Comment: 4 pages, Revtex + one PS figure attached to the end of the text cut before you run revtexKeywords
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