SEMICLASSICAL NARROW-TUBE QUANTIZATIONS OF TIME-PERIODIC HAMILTONIAN-SYSTEMS

Authors
THYLWE KE BENSCH F
Citation
Ke. Thylwe et F. Bensch, SEMICLASSICAL NARROW-TUBE QUANTIZATIONS OF TIME-PERIODIC HAMILTONIAN-SYSTEMS, Journal of physics. A, mathematical and general, 27(22), 1994, pp. 7475-7490
Citations number
9
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
22
Year of publication
1994
Pages
7475 - 7490
Database
ISI
SICI code
0305-4470(1994)27:22<7475:SNQOTH>2.0.ZU;2-D
Abstract
An approximate semiclassical quantization procedure for time-periodic Hamiltonians is formulated, which applies to motion near stable period ic orbits of the system, corresponding to elliptic islands of the peri od map. The theory involves canonical transformations and the use of a particular dynamical Lewis invariant. The basic assumption in the nar row-tube approximation is the localization of the quantal wavefunction inside the elliptic islands.