Bohr-sommerfeld quantization of periodic orbits

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Abstract

We show that the canonical invariant part of ħ corrections to the Gutzwiller trace formula and the Gutzwiller-Voros spectral determinant can be computed by the Bohr-Sommerfeld quantization rules, which usually apply for integrable systems. We argue that the information content of the classical action and stability can be used more effectively than in the usual treatment. We demonstrate the improvement of precision on the example of the three disk scattering system.

Original languageEnglish
Pages (from-to)1059-1062
Number of pages4
JournalPhysical review letters
Volume76
Issue number7
DOIs
Publication statusPublished - Jan 1 1996

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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