On the Failure and the Modification of Semiclassical Trace Formula in the Quantum Standard Map

Keiji Saito, Taro Nagao

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We consider a failure of the semiclassical trace formula attributable to resonant periodic orbits and quasi-integrability of the system by using the quantum standard map. We derive Gutzwiller-type semiclassical expressions of TrU and TrU2 lor the Floquet operator U, and compare them with quantum rigorous expressions. We demonstrate that the divergence of the formula due to resonant orbits is avoided by making use of the normal forms for the action. For a quasi-integrable case, we confirm that the semiclassical expression is also well modified.

Original languageEnglish
Pages (from-to)1131-1138
Number of pages8
JournalJournal of the Physical Society of Japan
Volume68
Issue number4
DOIs
Publication statusPublished - 1999 Apr
Externally publishedYes

Keywords

  • Normal form
  • Quantum chaos
  • Standard map
  • Trace formula

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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