1986•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsRequires access

Perturbation theory for an anharmonic oscillator

Pravat Kumar Patnaik

Open publisher page 17 citations

Abstract

We show that a Rayleigh-Schr\"odinger-type perturbation theory for an anharmonic oscillator can be developed by suitable modification of the results of Hsue and Chern. Energy eigenvalues up to third order are calculated. The results show a distinct improvement over the results of standard perturbation theory.

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Key concepts: Anharmonicity, Perturbation theory (quantum mechanics), Perturbation (astronomy), Eigenvalues and eigenvectors, Physics, Poincaré–Lindstedt method, Transition of state, Rayleigh scattering