| Abstract: | A method is developed in the theory of functional integration that makes it possible to use the group-theoretical formalism to calculate Feynman integrals. The method is used to consider some problems that have important applications in many branches of quantum mechanics. It particular, the formalism makes it possible to solve problems with quadratic Lagrangians with arbitrary dependence of the parameters on the time.Belarus State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 100, No. 2, pp. 248–263. August, 1994. |
