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: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
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| ISSN: | 0022-2488 1089-7658 |
| DOI: | 10.1063/1.530604 |