Feynman integral and complex classical trajectories |
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Authors: | Z Haba |
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Institution: | (1) Institute of Theoretical Physics, University of Wrocklaw, Pl. Maksa Borna 9, 50-204 Wrocaw, Poland |
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Abstract: | Let
t
be an analytic solution of the Schrödinger equation with the initial condition . Let
t
be the solution of the Schrödinger equation with the initial condition =, where is an analytic function. When 0, then
t
(x)
t
(x)1 (
t
(x)), where
t
(x) trajectory starting from x. We relate this result to Feynman's sum over trajectories and complex stochastic differential equations. |
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Keywords: | 81S40 81Q20 81Q30 60H10 35Q40 |
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