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 a
The equilibrium short-time density matrix for a one-dimensional anharmonic oscillator
✍ Scribed by K.V. Ermakov; B.S. Butayev; V.P. Spiridonov
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 277 KB
- Volume
- 138
- Category
- Article
- ISSN
- 0009-2614
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✦ Synopsis
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 temperature. It is shown that the proposed formula substantially reduces the number of iterations in the computation of thermally averaged physical quantities.
📜 SIMILAR VOLUMES
The eigenvalue problem of the time-independent Schrodinger equation is solved as usual by expanding the eigenfunctions in terms of a basis set. However, the wave-function Ž . expansion coefficients WECs , which are certain matrix elements of the wave operator, are determined by an iterative method.