A Fredholm determinant for semiclassical quantization

Predrag Cvitanović, Per E. Rosenqvist, Gábor Vattay, Hans Henrik Rugh

Research output: Contribution to journalArticle

38 Citations (Scopus)

Abstract

We investigate a new type of approximation to quantum determinants, the "quantum Fredholm determinant," and test numerically the conjecture that for Axiom A hyperbolic flows such determinants have a larger domain of analyticity and better convergence than the Gutzwiller-Voros zeta functions derived from the Gutzwiller trace formula, 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.

Original languageEnglish
Pages (from-to)619-636
Number of pages18
JournalChaos
Volume3
Issue number4
DOIs
Publication statusPublished - Jan 1 1993

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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    Cvitanović, P., Rosenqvist, P. E., Vattay, G., & Rugh, H. H. (1993). A Fredholm determinant for semiclassical quantization. Chaos, 3(4), 619-636. https://doi.org/10.1063/1.165992