Further applications of the renormalised series technique
- 1 February 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (2) , 367-373
- https://doi.org/10.1088/0305-4470/17/2/022
Abstract
The renormalised series technique is applied to two quantum mechanical problems, the octically perturbed oscillator and the hydrogen Stark effect. Modification of the method is required for the latter problem; the results yield the Stark shifted energies and an estimate of the widths of the states studied.Keywords
This publication has 21 references indexed in Scilit:
- Some extensions of the renormalised series approachJournal of Physics A: General Physics, 1982
- The anharmonic oscillator: perturbation series for cubic and quartic energy distortionJournal of Physics A: General Physics, 1981
- Perturbation theory and hypervirial theorems for the anharmonic oscillatorPhysics Letters A, 1980
- Perturbation theory and Padé approximants for a hydrogen atom in an electric fieldMolecular Physics, 1980
- Resonances in the Stark effect and strongly asymptotic approximantsJournal of Physics B: Atomic and Molecular Physics, 1980
- Rearranged Perturbation Theory for the Schrödinger EquationPhysica Scripta, 1980
- Energy approximants and perturbation theoryPhysics Letters A, 1979
- General anharmonic oscillatorsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1978
- Complex coordinates and the Stark effectInternational Journal of Quantum Chemistry, 1978
- A hydrogen atom in a uniform electric fieldJournal of Physics B: Atomic and Molecular Physics, 1976