dorsal/arxiv
View SchemaFeynman Integral Approach to Absorption in Quantum Mechanics
| Authors | A. Marchewka, Z. Schuss |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9906003 |
| URL | https://arxiv.org/abs/quant-ph/9906003 |
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 by the absorbing boundary. Trajectories that reach the absorbing wall are instantaneously terminated and their probability is discounted from the population of the surviving trajectories. This gives rise to a unidirectional absorption current at the boundary. We calculate the survival probability as a function of time. Several modes of absorption are derived from our formalism: total absorption, absorption that depends on energy levels, and absorption of non-interacting particles. Several applications are given: the slit experiment with an absorbing screen and with absorbing lateral walls, and one dimensional particle between two absorbing walls. The survival probability of a particle between absorbing walls exhibits decay with beats.
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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 by the absorbing boundary. Trajectories that reach the absorbing wall\nare instantaneously terminated and their probability is discounted from the\npopulation of the surviving trajectories. This gives rise to a unidirectional\nabsorption current at the boundary. We calculate the survival probability as a\nfunction of time. Several modes of absorption are derived from our formalism:\ntotal absorption, absorption that depends on energy levels, and absorption of\nnon-interacting particles. Several applications are given: the slit experiment\nwith an absorbing screen and with absorbing lateral walls, and one dimensional\nparticle between two absorbing walls. The survival probability of a particle\nbetween absorbing walls exhibits decay with beats.",
"arxiv_id": "quant-ph/9906003",
"authors": [
"A. Marchewka",
"Z. Schuss"
],
"categories": [
"quant-ph"
],
"title": "Feynman Integral Approach to Absorption in Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/9906003"
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