OPERATOR CALCULATIONS IN THE THEORY OF PATH-INTEGRALS

Authors
TSVETKOV IV
Citation
Iv. Tsvetkov, OPERATOR CALCULATIONS IN THE THEORY OF PATH-INTEGRALS, Theoretical and mathematical physics, 100(2), 1994, pp. 985-996
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
100
Issue
2
Year of publication
1994
Pages
985 - 996
Database
ISI
SICI code
0040-5779(1994)100:2<985:OCITTO>2.0.ZU;2-F
Abstract
A method is developed in the theory of functional integration that mak es it possible to use the group-theoretical formalism to calculate Fey nman integrals. The method is used to consider some problems that have important applications in many branches of quantum mechanics. In part icular, the formalism makes it possible to solve problems with quadrat ic Lagrangians with arbitrary dependence of the parameters on the time .