dorsal/arxiv
View SchemaFeynman Integrals with Absorbing Boundaries
| Authors | A. Marchewka, Z. Schuss |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9708034 |
| URL | https://arxiv.org/abs/quant-ph/9708034 |
| DOI | 10.1016/S0375-9601(98)00107-8 |
| Journal | Phys.Lett. A240 (1998) 177-184 |
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.
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"abstract": "We propose a formulation of an absorbing boundary for a quantum particle. The\nformulation is based on a Feynman-type integral over trajectories that are\nconfined to the non-absorbing region. Trajectories that reach the absorbing\nwall are discounted from the population of the surviving trajectories with a\ncertain weighting factor. Under the assumption that absorbed trajectories do\nnot interfere with the surviving trajectories, we obtain a time dependent\nabsorption law. Two examples are worked out.",
"arxiv_id": "quant-ph/9708034",
"authors": [
"A. Marchewka",
"Z. Schuss"
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"doi": "10.1016/S0375-9601(98)00107-8",
"journal_ref": "Phys.Lett. A240 (1998) 177-184",
"title": "Feynman Integrals with Absorbing Boundaries",
"url": "https://arxiv.org/abs/quant-ph/9708034"
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