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Analytical probability distribution function for a one-dimensional anharmonic oscillator in thermal equilibrium

โœ Scribed by V.P. Spiridonov; B.S. Butayev; A.Ya. Nasarenko; O.N. But; A.G. Gershikov

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
478 KB
Volume
103
Category
Article
ISSN
0009-2614

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โœฆ Synopsis

A simple closed formula is proposed for the probability distribution function of a one-dimensional anharmonic oscillator in thermal equilibrium. It is shown that this formula yields a plausible approximation for the distribution function over wide ranges of the parameter B = hcw&Tand the degree of anharmonicity. A more general formula with extended limits of applicability is also considered.

๐Ÿ“œ SIMILAR VOLUMES

The equilibrium short-time density matri
The equilibrium short-time density matrix for a one-dimensional anharmonic oscillator
โœ K.V. Ermakov; B.S. Butayev; V.P. Spiridonov ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 277 KB

A simple closed formula is proposed for the short-time density matrix of a one-dimensional anharmonic oscihator in thermal equilibrium. The formula can be used in an iterative numerical calculation of the equilibrium density matrix at a given temperature starting from the density matrix at a higher