Quantum and classical Liouville dynamics of the anharmonic oscillator

Milburn, G. J. (1986) Quantum and classical Liouville dynamics of the anharmonic oscillator. Physical Review a, 33 1: 674-685. doi:10.1103/PhysRevA.33.674

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Author Milburn, G. J.
Title Quantum and classical Liouville dynamics of the anharmonic oscillator
Journal name Physical Review a   Check publisher's open access policy
ISSN 1050-2947
Publication date 1986-01
Sub-type Article (original research)
DOI 10.1103/PhysRevA.33.674
Open Access Status File (Publisher version)
Volume 33
Issue 1
Start page 674
End page 685
Total pages 12
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Abstract We consider the dynamics of a quantum joint phase-space probability density in an exactly solvable model. The density is defined to be a true (i.e., positive) probability distribution for approximate (and thus simultaneously measurable) position and momentum variables. The dynamics of the quantum density is governed by a second-order partial-differential equation with non-positive-definite second-order coefficients. The quantum dynamics is contrasted with the dynamics of a similar joint density in a classical description. The non-positive-definite second-order terms in the quantum evolution equation, not present in the classical case, are responsible for quantum recurrences and prevent the appearance of fine-scale-structure ‘‘whorls’’ predicted in a classical description. The generation of ‘‘squeezing’’ in the model is also discussed.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Engineering Publications
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Citation counts: TR Web of Science Citation Count  Cited 251 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 261 times in Scopus Article | Citations
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