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.
Predissociation of the harmonic oscillator
✍ Scribed by Michael L. Sink; André D. Bandrauk
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 319 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0009-2614
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✦ Synopsis
Analytical expressions for the line width and level shift for the u = 0 level of a harmonic oscillator predissociated by a linear potential are given. CalcuIation of the widthand shift as a function of crossing point and energy are presented, and a comparison with the linear potential model is made for cases C-and C+ curve crossings.
📜 SIMILAR VOLUMES
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.
Title of program: OSCILLATOR BRACKET nuclear structure and reaction calculations [1,21. Our pro-Catalogue number: ABPE gram calculates these very rapidly. Program obtainable from: CPC Program Library, Queen's Method of solution University of Belfast, N. Ireland (see application form in this The meth
Arguments have been given by Greenspan [1] to suggest that the equation of motion for a relativistic harmonic oscillator is (1)