TIME-DEPENDENT PERTURBATION-THEORY FOR THE CONSTRUCTION OF INVARIANTSOF HAMILTONIAN-SYSTEMS

Authors
LEWIS HR BATES JW FINN JM
Citation
Hr. Lewis et al., TIME-DEPENDENT PERTURBATION-THEORY FOR THE CONSTRUCTION OF INVARIANTSOF HAMILTONIAN-SYSTEMS, Physics letters. A, 215(3-4), 1996, pp. 160-166
Citations number
12
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
215
Issue
3-4
Year of publication
1996
Pages
160 - 166
Database
ISI
SICI code
0375-9601(1996)215:3-4<160:TPFTCO>2.0.ZU;2-A
Abstract
A time-dependent perturbation theory is presented for iteratively cons tructing invariants for a Hamiltonian consisting of a time-independent zeroth-order term plus a time-dependent perturbation. The procedure i nvolves only a single canonical transformation and small divisors can be avoided. The Mathieu equation is treated as an example.