๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Application of the effective harmonic oscillator in thermodynamic perturbation theory

โœ Scribed by K.V. Ermakov; B.S. Butayev; V.P. Spiridonov


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
510 KB
Volume
144
Category
Article
ISSN
0009-2614

No coin nor oath required. For personal study only.

โœฆ Synopsis


The coordinate probability distribution function for a one-dimensional anharmonic oscillator is derived by application of the effective harmonic oscillator (EHO) density matrix in first-order thermodynamic perturbation theory. The practical utility of this approach is demonstrated by the calculation of quantities obtainable by electron diffraction, namely the distance rs and amplitude le, and of vibrational partition functions for HZ, N, and Iz from the Morse potential.


๐Ÿ“œ SIMILAR VOLUMES


Quantization of the relativistic harmoni
โœ R.H. Penfield; H. Zatzkis ๐Ÿ“‚ Article ๐Ÿ“… 1957 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 416 KB

The relativistic effects on the quantization of the harmonic oscillator are determined from a perturbation calculation using matrices obtained in the nonrelativistic case. One finds that the energy levels are no longer evenly spaced although the usual transition rules still hold. When a system of

Application of the effective harmonic os
โœ V.P. Spiridonov; V.S. Lyutsarev; B.S. Butayev ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 696 KB

Uy treatingthe Hamiltonian for coupled oscillators with poiynornial anharmonicity by tbc Gibbs-Uogoliubov incqunlity, the effective harmonic oscillator (EHO) method is developed rend applied to computing the thermrtl averages for polyatomic molecules. Practical utility is demonstrated with calculati

P-Matrix and J-Matrix Approaches: Coulom
โœ J.M. Bang; A.I. Mazur; A.M. Shirokov; Yu.F. Smirnov; S.A. Zaytsev ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 420 KB

The relation between the R-and P-matrix approaches and the harmonic oscillator representation of the quantum scattering theory (J-matrix method) is discussed. We construct a discrete analogue of the P-matrix that is shown to be equivalent to the usual P-matrix in the quasiclassical limit. A definiti