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| {time, wave, function} |
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Feynman Integrals with Absorbing Boundaries
A. Marchewka, Z. Schuss
abstract: 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.
- oai_identifier:
- oai:arXiv.org:quant-ph/9708034
- categories:
- quant-ph cond-mat
- comments:
- 4 pages, revtex
- doi:
- 10.1016/S0375-9601(98)00107-8
- arxiv_id:
- quant-ph/9708034
- journal_ref:
- Phys.Lett. A240 (1998) 177-184
- report_no:
- TAUP-2401-96
- created:
- 1997-08-21
Full article ▸
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