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
โฆ LIBER โฆ
Wigner phase space method. Application to a forced harmonic oscillator
โ Scribed by K.L. Sebastian
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 178 KB
- Volume
- 80
- Category
- Article
- ISSN
- 0009-2614
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โฆ Synopsis
The Wgner phase space method is applied to the problem of a forced harmonic oscillator, which may be thought of as a model for collisions involving harmonic oscillators_ It leads to an exact solution of the problem.
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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