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

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

1993-07-26

arxiv.org/abs/chao-dyn/9307012v1

Phys. Rev. Lett. 71, 4138 (1993)

Nonlinear Sciences

Chaotic Dynamics

4 pages, Revtex + one PS figure attached to the end of the text cut before you run revtex!

Scientific paper

10.1103/PhysRevLett.71.4138

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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