COMPLEX TRAJECTORIES IN THE QUARTIC OSCILLATOR AND ITS SEMICLASSICAL COHERENT-STATE PROPAGATOR

Authors
XAVIER AL DEAGUIAR MAM
Citation
Al. Xavier et Mam. Deaguiar, COMPLEX TRAJECTORIES IN THE QUARTIC OSCILLATOR AND ITS SEMICLASSICAL COHERENT-STATE PROPAGATOR, Annals of physics, 252(2), 1996, pp. 458-478
Citations number
12
Categorie Soggetti
Physics
Journal title
Annals of physics → ACNP
ISSN journal
00034916
Volume
252
Issue
2
Year of publication
1996
Pages
458 - 478
Database
ISI
SICI code
0003-4916(1996)252:2<458:CTITQO>2.0.ZU;2-Q
Abstract
The semiclassical approximation of the coherent-state propagator requi res the computation of complex trajectories satisfying special boundar y conditions. In this paper we present a method for the determination of such trajectories for one-dimensional polynomial potentials. We als o compute the semiclassical propagator for the case V(q) = lambda q(2) /2 + beta q(4) and compare the results with an ''exact'' calculation. (C) 1996 Academic Press, Inc.