Čebyšev mixing and harmonic oscillator models
✍ Scribed by T. Erber; P. Johnson; P. Everett
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 246 KB
- Volume
- 85
- Category
- Article
- ISSN
- 0375-9601
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📜 SIMILAR VOLUMES
The step operators of the two-dimensional isotropic harmonic oscillator are shown to be separable into the basis elements of two disjoint Heisenberg Lie algebras. This separability leads to two sets of irreducible tensors, each of which is based upon its associated underlying Heisenberg Lie algebra.
The recurrance relation method is employed to determine the dynamic structure factor for the single harmonic oscillator and a linear chain of harmonic oscillators. Approximative schemes based on this approach are proposed. Comparison is made with exactly known results.