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Path integral over branching paths. (English. Russian original) Zbl 0476.28007

Theor. Math. Phys. 45, 1058-1069 (1981); translation from Teor. Mat. Fiz. 45, 329-345 (1981).

MSC:

28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)
81S40 Path integrals in quantum mechanics
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
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References:

[1] B. A. Sevast’yanov, Branching Processes [in Russian], Nauka (1971).
[2] R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals, New York (1965). · Zbl 0176.54902
[3] V. P. Maslov, Complex Markov Chains and Feynman Path Integrals [in Russian], Nauka (1976). · Zbl 0449.35086
[4] Vo Han Fuk and V. M. Chetverikov, Teor. Mat. Fiz.,36, 345 (1978).
[5] V. P. Maslov, The WKB Method in Nonlinear Equations [in Russian], Nauka (1977). · Zbl 0449.58001
[6] V. P. Maslov, Teor. Mat. Fiz.,2, 30 (1970).
[7] V. P. Maslov and M. F. Fedoryuk, Quasiclassical Approximation for the Equations of Quantum Mechanics [in Russian], Nauka (1976). · Zbl 0449.58002
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