Will Loinaz and T J Newman 1999 J. Phys. A: Math. Gen. 32 8889 doi:10.1088/0305-4470/32/50/309
Quantum revivals and carpets in some exactly solvable systems
Will Loinaz
and T J Newman,
We consider the revival properties of quantum systems with an eigenspectrum En
n2, 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 tR, these systems all enjoy perfect fractional revivals at quarterly intervals of tR. A closer examination of the quantum evolution is performed for the Pöschel-Teller and Rosen-Morse potentials, and comparison is made with the infinite square well using quantum carpets.
- PACS
- MSC
-
81U15 Exactly and quasi-solvable systems
81Qxx General mathematical topics and methods in quantum theory
- Subjects
- Dates
-
Issue 50 (17 December 1999)
Received 23 April 1999, in final form 25 October 1999
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Quantum revivals and carpets in some exactly solvable systems
Will Loinaz and T J Newman 1999 J. Phys. A: Math. Gen. 32 8889
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