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

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.

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References in corpus (1)

• Resummation of classical and semiclassical periodic orbit formulas

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