A semiclassical study of forced anharmonic oscillators
β Scribed by Yitzhak Weissman; Joshua Jortner
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 634 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0301-0104
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π SIMILAR VOLUMES
High-precision methods are developed to evaluate eigenvalues for all states |m, N) of the x 2m anharmonic oscillators with m from 2 to 6, for all values of the anharmonicity parameter. There are three basic steps: rescaling to introduce a length scale natural to the problem; use of fifth-order JWKB
The semiclassical fixed point structure of three coupled anharmonic oscillators under the condition that two of them are of equal population (I,=O) is studied with SU( 3) algebra. The results show that in this submanifold the system can be solved analytically with two bifurcation points.
When one or several oscillators are anharmonic, an appropriate procedure is to calculate the set of energy levels of the anlurmonic uscilluturs by the WkB method from a knowledge of them potential energy function and to convolute the results with the smooth \(N(E)\) function calculated for the remai