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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1984 Volume 58, Number 3, Pages 329–337 (Mi tmf4551)

This article is cited in 6 papers

Class of non-Gaussian functional integrals

M. M. Dubovikov


Abstract: A class of functional integrals with nonquadratic argument of the exponential is considered and a solution obtained in the form of a series in a parameter $b$ that is small, whereas the parameter of standard perturbation theory is large. It is very important that the series converges for all $b>0$. The method makes it possible to solve, for example, the well-known problem of wave propagation in a randomly inhomogeneous medium, and it may also be helpful for numerous other problems.

Received: 03.05.1983


 English version:
Theoretical and Mathematical Physics, 1984, 58:3, 215–220

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