Feynman integral and complex classical trajectories |
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Authors: | Z. Haba |
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Affiliation: | (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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