dorsal/arxiv
View SchemaQuantum revivals and carpets in some exactly solvable systems
| Authors | Will Loinaz, T. J. Newman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9902039 |
| URL | https://arxiv.org/abs/quant-ph/9902039 |
| DOI | 10.1088/0305-4470/32/50/309 |
| Journal | J.Phys.A32:8889-8895,1999 |
Abstract
We consider the revival properties of quantum systems with an eigenspectrum E_{n} proportional to n^{2}, and compare them with the simplest member of this class - the infinite square well. In addition to having perfect revivals at integer multiples of the revival time t_{R}, these systems all enjoy perfect fractional revivals at quarterly intervals of t_{R}. A closer examination of the quantum evolution is performed for the Poeschel-Teller and Rosen-Morse potentials, and comparison is made with the infinite square well using quantum carpets.
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"abstract": "We consider the revival properties of quantum systems with an eigenspectrum\nE_{n} proportional to n^{2}, and compare them with the simplest member of this\nclass - the infinite square well. In addition to having perfect revivals at\ninteger multiples of the revival time t_{R}, these systems all enjoy perfect\nfractional revivals at quarterly intervals of t_{R}. A closer examination of\nthe quantum evolution is performed for the Poeschel-Teller and Rosen-Morse\npotentials, and comparison is made with the infinite square well using quantum\ncarpets.",
"arxiv_id": "quant-ph/9902039",
"authors": [
"Will Loinaz",
"T. J. Newman"
],
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"quant-ph"
],
"doi": "10.1088/0305-4470/32/50/309",
"journal_ref": "J.Phys.A32:8889-8895,1999",
"title": "Quantum revivals and carpets in some exactly solvable systems",
"url": "https://arxiv.org/abs/quant-ph/9902039"
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