A 2ND INVARIANT FOR ONE-DEGREE-OF-FREEDOM, TIME-DEPENDENT HAMILTONIANS GIVEN A FIRST INVARIANT

Authors
BOUQUET S LEWIS HR
Citation
S. Bouquet et Hr. Lewis, A 2ND INVARIANT FOR ONE-DEGREE-OF-FREEDOM, TIME-DEPENDENT HAMILTONIANS GIVEN A FIRST INVARIANT, Journal of mathematical physics, 37(11), 1996, pp. 5509-5517
Citations number
3
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
37
Issue
11
Year of publication
1996
Pages
5509 - 5517
Database
ISI
SICI code
0022-2488(1996)37:11<5509:A2IFOT>2.0.ZU;2-F
Abstract
An explicit formula for a second invariant of a one-degree-of-freedom time-dependent Hamiltonian is derived in terms of the Hamiltonian and an assumed first invariant. If the first invariant is expressed as a f unction of two canonical functions, a transformation to an autonomous Hamiltonian system is possible. (C) 1996 American Institute of Physics .