Shifted 1/N expansion approach to the interaction V(r)=r2+λr2/(1+gr2)
- 7 April 1988
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (7) , 1579-1588
- https://doi.org/10.1088/0305-4470/21/7/021
Abstract
The authors use the shifted 1/N expansion method to calculate the energy eigenvalues of the non-polynomial oscillator V(r)=r2+λr2/(1+gr2). The results thus obtained are in excellent agreement with exact numerical results. It is also shown that the non-polynomial interaction can be made supersymmetric and in this case also the results obtained by the shifted 1/N method matches extremely well with the exact analytic results given by supersymmetry.Keywords
This publication has 24 references indexed in Scilit:
- Shifted 1/Nexpansion for energy eigenvalues of the exponential cosine screened Coulomb potentialPhysical Review A, 1986
- Shifted large-Nexpansion for the bound states of the Hellmann potentialPhysical Review A, 1986
- Improved wave functions for large-NexpansionsPhysical Review D, 1985
- Bound states of the Yukawa potential via the shifted 1/N expansion techniquePhysics Letters A, 1984
- Energy eigenstates of spherically symmetric potentials using the shiftedexpansionPhysical Review D, 1984
- Shiftedexpansions for energy eigenvalues of the Schrödinger equationPhysical Review D, 1983
- Pseudo-spin structure and large N expansion for a class of generalized helium HamiltoniansAnnals of Physics, 1981
- SO(2, 1) algebra and the large N expansion in quantum mechanicsAnnals of Physics, 1980
- Superpropagator for a Nonpolynomial FieldPhysical Review D, 1973
- Momentum-Space Behavior of Integrals in Nonpolynomial Lagrangian TheoriesPhysical Review D, 1970