QUANTUM SELECTION OF ISOTROPIC TORI OF PARTIALLY INTEGRABLE HAMILTONIAN-SYSTEMS IN THE QUASI-CLASSICAL APPROXIMATION

Authors
DOBROKHOTOV SY SHAFAREVICH AI
Citation
Sy. Dobrokhotov et Ai. Shafarevich, QUANTUM SELECTION OF ISOTROPIC TORI OF PARTIALLY INTEGRABLE HAMILTONIAN-SYSTEMS IN THE QUASI-CLASSICAL APPROXIMATION, Russian journal of mathematical physics, 5(2), 1997, pp. 267-272
Citations number
15
Journal title
Russian journal of mathematical physics → ACNP
ISSN journal
10619208
Volume
5
Issue
2
Year of publication
1997
Pages
267 - 272
Database
ISI
SICI code
1061-9208(1997)5:2<267:QSOITO>2.0.ZU;2-7
Abstract
Conditions guaranteeing the existence of quasimodes of Schrodinger ope rators corresponding to partially integrable Hamiltonian systems are c onsidered. It is shown that in the situation of resonance these condit ions distinguish a discrete family of Liouville foliations appropriate for quantization.