Bohr-Sommerfeld quantization of periodic orbits

Journal Article · Thu Feb 01 04:00:00 EST 1996 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.76.1059· OSTI ID:283938

Vattay, G ^[1]

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1. Division de Physique Theorique, Institut de Physique Nucleaire, F-91406 Orsay Cedex (France)

We show that the canonical invariant part of {h_bar} 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. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 283938
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 7 Vol. 76; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOHR THEORY
CORRECTIONS
HAMILTONIANS
INTEGRALS
ORBITS
PERIODIC SYSTEM
QUANTIZATION
STABILITY