Quantum scattering on a Cantor bar
A solvable model of the scattering of a one‐dimensional particle by the familiar ‘‘middle‐third’’ Cantor set is considered. It is shown that the presence of positive energy levels in such a model is typical. From the high‐energy behavior of the scattering, data computation of the Hausdorff dimension...
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| Veröffentlicht in: | Journal of mathematical physics 1994-04, Vol.35 (4), p.1522-1531 |
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| Hauptverfasser: | , |
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| Sprache: | eng |
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| container_end_page | 1531 |
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| container_issue | 4 |
| container_start_page | 1522 |
| container_title | Journal of mathematical physics |
| container_volume | 35 |
| creator | Makarov, Konstantin A. Pavlov, Boris S. |
| description | A solvable model of the scattering of a one‐dimensional particle by the familiar ‘‘middle‐third’’ Cantor set is considered. It is shown that the presence of positive energy levels in such a model is typical. From the high‐energy behavior of the scattering, data computation of the Hausdorff dimension of the scatterer is suggested. |
| doi_str_mv | 10.1063/1.530604 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0022-2488 |
| ispartof | Journal of mathematical physics, 1994-04, Vol.35 (4), p.1522-1531 |
| issn | 0022-2488 1089-7658 |
| language | eng |
| recordid | cdi_scitation_primary_10_1063_1_530604 |
| source | AIP Digital Archive |
| title | Quantum scattering on a Cantor bar |
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