On the eigenvalues of the rotating harmonic oscillator
β Scribed by George P. Flessas
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 90 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
The relativistic harmonic oscillator is solved by an inverse fractional power series as has been done for the simple pendulum. The striking similarity of these two kinds of non-linear motion is thus demonstrated. The entire analysis is amply dealt with, without resort to elliptic integrals.
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.
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