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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 102, Number 2, Pages 210–216
(Mi tmf1260)
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This article is cited in 3 scientific papers (total in 3 papers)
Method of steepest descent for path integrals
A. L. Koshkarov Petrozavodsk State University
Abstract:
To estimate path integral for a nonrelativistic particle with one degree of freedom moving in a arbitrary potential $V(x)$ it is supposed to use the pass method, being an analog of the known pass method for finite-dimensional integrals, without transferring to the euclidean formulation of the theory. The notions of the functional Cauchy–Riemann conditions and the Cauchy theorem in a complex functional space are introduced. Given a contour of the most rapid descending the initial path integral is reduced to the one with the descending exponent. In principle, this result may serve as a base to construct a path integral measure.
Received: 12.10.1993
Citation:
A. L. Koshkarov, “Method of steepest descent for path integrals”, TMF, 102:2 (1995), 210–216; Theoret. and Math. Phys., 102:2 (1995), 153–157
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https://www.mathnet.ru/eng/tmf1260 https://www.mathnet.ru/eng/tmf/v102/i2/p210
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Abstract page: | 1129 | Full-text PDF : | 732 | First page: | 1 |
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