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Quantum revivals and carpets in some exactly solvable systems
Will Loinaz, T. J. Newman
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/9902039
- categories:
- quant-ph
- comments:
- 5 pages, 5 figures (1 new), minor additions, to appear in J. Phys. A
- doi:
- 10.1088/0305-4470/32/50/309
- arxiv_id:
- quant-ph/9902039
- journal_ref:
- J.Phys.A32:8889-8895,1999
- report_no:
- IPPAP-9901
- created:
- 1999-02-09
- updated:
- 1999-11-09
Full article ▸
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