The solution of a difference equation in the form of an infinite continued fraction is used to obtain a class of exact solutions for the eigenfunctions and eigenvalues of doubly anharmonic oscillators described by potentials of the type (1/2)602 x 2 + (1/4)Lv 4 + (1/6)r/X 6 , > 0, provided certain c
โฆ LIBER โฆ
An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity
โ Scribed by Leach, P. G. L.
- Book ID
- 121495158
- Publisher
- American Institute of Physics
- Year
- 1981
- Tongue
- English
- Weight
- 565 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0022-2488
- DOI
- 10.1063/1.524932
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A harmonic oscillator with time-dependent force constant when perturbed by a weak static quartic anharmonicity ti4, 1 small, is shown to generate new features in the dynamics. For weak coupling, both time-dependent perturbation theoretical analysis and near-exact numerical calculations predict that