PROPAGATOR OF A TIME-DEPENDENT UNBOUND QUADRATIC HAMILTONIAN SYSTEM

Authors
YEON KH KIM HJ UM CI GEORGE TF PANDEY LN
Citation
Kh. Yeon et al., PROPAGATOR OF A TIME-DEPENDENT UNBOUND QUADRATIC HAMILTONIAN SYSTEM, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 111(8), 1996, pp. 963-971
Citations number
16
Categorie Soggetti
Physics
Journal title
Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics → ACNP
ISSN journal
11241888
Volume
111
Issue
8
Year of publication
1996
Pages
963 - 971
Database
ISI
SICI code
1124-1888(1996)111:8<963:POATUQ>2.0.ZU;2-J
Abstract
The propagator for a time-dependent unbound quadratic Hamiltonian syst em is explicitly evaluated using the path integral method. Two time-in variant quantities of the system are found where these invariants dete rmine whether or not the system is bound. Several examples are conside red to illustrate that the propagator obtained for the unbound systems is correct.