EXTENSION OF GIACOMINI RESULTS CONCERNING INVARIANTS FOR ONE-DIMENSIONAL TIME-DEPENDENT POTENTIALS

Citation
S. Bouquet et Hr. Lewis, EXTENSION OF GIACOMINI RESULTS CONCERNING INVARIANTS FOR ONE-DIMENSIONAL TIME-DEPENDENT POTENTIALS, Journal of mathematical physics, 37(11), 1996, pp. 5496-5508
Citations number
14
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00222488
Volume
37
Issue
11
Year of publication
1996
Pages
5496 - 5508
Database
ISI
SICI code
0022-2488(1996)37:11<5496:EOGRCI>2.0.ZU;2-7
Abstract
One-dimensional time-dependent potentials are considered for which an invariant can be expressed in terms of the potential and the momentum according to the formulation of Giacomini. New solutions of Giacomini' s equations are derived. In addition, possibilities are discussed for extending Giacomini's approach to more general systems. (C) 1996 Ameri can Institute of Physics.