Spectral singularities of the quartic anharmonic oscillator
β Scribed by Paul E. Shanley
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 283 KB
- Volume
- 117
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
The Rayleigh Schro dinger perturbation series for the energy eigenvalue of an anharmonic oscillator defined by the Hamiltonian H (m) (;)=p^2 +x^2+;x^2 m with m=2, 3, 4, .. . diverges quite strongly for every ;{0 and has to summed to produce numerically useful results. However, a divergent weak coupl