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Teoreticheskaya i Matematicheskaya Fizika, 1980, Volume 45, Number 3, Pages 329–345
(Mi tmf4339)
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This article is cited in 2 scientific papers (total in 2 papers)
Path integral over branching paths
V. P. Maslov, A. M. Chebotarev
Abstract:
A heuristic definition is given of a Feynman path integral over branching paths. It is used to solve the Cauchy problem for the model Hartree equation in a closed form. A number of properties of the solution are derived from an integral representation. In particular, the quasiclassical asymptotic behavior, the exact solution in the Gaussian case, and the perturbation series are described. An existence theorem is proved for the simplest path integral over branching paths.
Received: 28.12.1979
Citation:
V. P. Maslov, A. M. Chebotarev, “Path integral over branching paths”, TMF, 45:3 (1980), 329–345; Theoret. and Math. Phys., 45:3 (1980), 1058–1069
Linking options:
https://www.mathnet.ru/eng/tmf4339 https://www.mathnet.ru/eng/tmf/v45/i3/p329
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Abstract page: | 543 | Full-text PDF : | 215 | References: | 83 | First page: | 5 |
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