Linear variational approximation to the gx2nanharmonic oscillator
- 1 February 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (2) , 429-435
- https://doi.org/10.1088/0305-4470/15/2/015
Abstract
An approximate, variational method for the study of the gx2n anharmonic oscillator is presented. The idea of the method is to introduce into the unperturbed oscillator states the correlations originated by the presence of the anharmonic term via a unitary operator exp(iF) which is expanded up to second order in F. The variational principle determines F and one is led to a linear system of equations. The whole unperturbed basis is employed.Keywords
This publication has 12 references indexed in Scilit:
- Anharmonic oscillator: A new approachPhysical Review D, 1980
- A Chebyshev polynomial method for computing analytic solutions to eigenvalue problems with application to the anharmonic oscillatorJournal of Mathematical Physics, 1978
- Eigenvalues of the anharmonic oscillatorJournal of Physics A: General Physics, 1978
- The anharmonic oscillatorProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1978
- Anharmonic oscillators with factorizable hamiltoniansLettere al Nuovo Cimento (1971-1985), 1976
- Rayleigh-Ritz Method, Secular Determinant, and Anharmonic OscillatorsPhysical Review D, 1973
- The Hill Determinant: An Application to the Anharmonic OscillatorPhysical Review D, 1971
- Summation methods for the perturbation series of the generalized anharmonic oscillatorIl Nuovo Cimento B (1971-1996), 1971
- Borel summability: Application to the anharmonic oscillatorPhysics Letters B, 1970
- Anharmonic OscillatorPhysical Review B, 1969