dorsal/arxiv
View SchemaDynamical effects of a one-dimensional multibarrier potential of finite range
| Authors | D. Bar, L. P. Horwitz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112027 |
| URL | https://arxiv.org/abs/quant-ph/0112027 |
| DOI | 10.1140/epjb/e20020056 |
| Journal | Eur. Phys. Jour. B, 25, 505-518, (2002) |
Abstract
We discuss the properties of a large number N of one-dimensional (bounded) locally periodic potential barriers in a finite interval. We show that the transmission coefficient, the scattering cross section $\sigma$, and the resonances of $\sigma$ depend sensitively upon the ratio of the total spacing to the total barrier width. We also show that a time dependent wave packet passing through the system of potential barriers rapidly spreads and deforms, a criterion suggested by Zaslavsky for chaotic behaviour. Computing the spectrum by imposing (large) periodic boundary conditions we find a Wigner type distribution. We investigate also the S-matrix poles; many resonances occur for certain values of the relative spacing between the barriers in the potential.
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"abstract": "We discuss the properties of a large number N of one-dimensional (bounded)\nlocally periodic potential barriers in a finite interval. We show that the\ntransmission coefficient, the scattering cross section $\\sigma$, and the\nresonances of $\\sigma$ depend sensitively upon the ratio of the total spacing\nto the total barrier width. We also show that a time dependent wave packet\npassing through the system of potential barriers rapidly spreads and deforms, a\ncriterion suggested by Zaslavsky for chaotic behaviour. Computing the spectrum\nby imposing (large) periodic boundary conditions we find a Wigner type\ndistribution. We investigate also the S-matrix poles; many resonances occur for\ncertain values of the relative spacing between the barriers in the potential.",
"arxiv_id": "quant-ph/0112027",
"authors": [
"D. Bar",
"L. P. Horwitz"
],
"categories": [
"quant-ph"
],
"doi": "10.1140/epjb/e20020056",
"journal_ref": "Eur. Phys. Jour. B, 25, 505-518, (2002)",
"title": "Dynamical effects of a one-dimensional multibarrier potential of finite range",
"url": "https://arxiv.org/abs/quant-ph/0112027"
},
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