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 oscillator in thermodynamic perturbation theory
โ 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
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โฆ 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.
๐ SIMILAR VOLUMES
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
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