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Feynman integral and complex classical trajectories
Authors:Z. Haba
Affiliation:(1) Institute of Theoretical Physics, University of Wrocklaw, Pl. Maksa Borna 9, 50-204 Wroc"lstrok"aw, Poland
Abstract:Let chit be an analytic solution of the Schrödinger equation with the initial condition chi. Let psgrt be the solution of the Schrödinger equation with the initial condition psgr=chiphgr, where phiv is an analytic function. When hstrokrarr0, then chit(x)chit(x)Lscr1 rarr phgr(eegrt(x)), where eegrt(x) trajectory starting from x. We relate this result to Feynman's sum over trajectories and complex stochastic differential equations.
Keywords:81S40  81Q20  81Q30  60H10  35Q40
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