Feynman Integrals with Absorbing Boundaries

Details Feynman Integrals with Absorbing Boundaries Feynman Integrals with Absorbing Boundaries

1997-08-21

arxiv.org/abs/quant-ph/9708034v1

Phys.Lett. A240 (1998) 177-184

Physics

Quantum Physics

4 pages, revtex

Scientific paper

10.1016/S0375-9601(98)00107-8

We propose a formulation of an absorbing boundary for a quantum particle. The formulation is based on a Feynman-type integral over trajectories that are confined to the non-absorbing region. Trajectories that reach the absorbing wall are discounted from the population of the surviving trajectories with a certain weighting factor. Under the assumption that absorbed trajectories do not interfere with the surviving trajectories, we obtain a time dependent absorption law. Two examples are worked out.

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