A note on the semiclassical partition function of a generalized oscillator
β Scribed by W. Witschel
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 280 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0009-2614
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β¦ Synopsis
The second order Wagner-K&wood senuclassical parhtlon function is simply derrved for a generaked one-dimensonal oscdlator. Thermodynamic funtions A. H, E. S. Cy are also given in a simple analytical form. A detailed eomparisun with numerical results for the quark oscillator as example shows very good agreement for high temperatures. I. The partition function 1.1. Eigenualues by various techniques
π SIMILAR VOLUMES
On the basis of the semiclassical approximation, a new formula is proposed to evaluate the partition function of free internal rotation. This formula has correct limiting behavior and for a given temperature it gives accurate numerical values for the partition function and related thermodynamic func
Semiclassical techniques are used to evaluate the partition function Q of a Morse oscillator\_ The empirical Pitzer-G&inn quantization rule of the classical partition is found to be highly accurate even for shallow potential wells.
Each partial-wave generalized Green function so obtained is in closed form. The results apply nc least to Jest function treatable potentials.