A hypervirial JWKB calculation
- 21 February 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (3) , 601-606
- https://doi.org/10.1088/0305-4470/20/3/022
Abstract
By a combination of mathematical analysis and microcomputer experiment it is shown that the hypervirial perturbation method can yield, not only the accurate quantum mechanical values, but also the zeroth-order JWKB values of E and (x2) for the case of a harmonic oscillator with a lambda x4 perturbation.Keywords
This publication has 10 references indexed in Scilit:
- Quantum anharmonic symmetrical oscillators using elliptic functionsJournal of Physics A: General Physics, 1986
- Direct expectation value calculationsJournal of Physics A: General Physics, 1985
- Some extensions of the renormalised series approachJournal of Physics A: General Physics, 1982
- Renormalised perturbation seriesJournal of Physics A: General Physics, 1981
- Accurate energy levels for the anharmonic oscillator and a summable series for the double-well potential in perturbation theoryAnnals of Physics, 1979
- Quantum theory of anharmonic oscillators. II. Energy levels of oscillators with x2α anharmonicityJournal of Mathematical Physics, 1976
- Hypervirial and Hellmann-Feynman Theorems Applied to Anharmonic OscillatorsThe Journal of Chemical Physics, 1972
- Coupling constant analyticity for the anharmonic oscillatorAnnals of Physics, 1970
- Pade approximants and the anharmonic oscillatorPhysics Letters B, 1969
- Développement asymptotique (WKB) d'une moyenne d'opérateurJournal de Physique, 1969