Elementary bound states for the power-law potentials
- 1 July 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (7) , 2111-2122
- https://doi.org/10.1088/0305-4470/15/7/022
Abstract
The author shows how the exact polynomial *exp(polynomial) bound-state solutions to the radial Schrodinger equation may be constructed for any potential of the form V(r)= Sigma delta in D Gdelta rdelta , where D is a finite set of arbitrary rational numbers and some of the couplings Gdelta are not independent.Keywords
This publication has 7 references indexed in Scilit:
- Analytic solution of the general anharmonic-oscillator problemLetters in Mathematical Physics, 1981
- Exact quantum-mechanical solutions for anharmonic oscillatorsPhysics Letters A, 1981
- On the three-dimensional anharmonic oscillatorPhysics Letters A, 1980
- Semiquantum approximation for the Reggeon field theory on a latticePhysical Review D, 1979
- Analytic continued fraction theory for a class of confinement potentialsLetters in Mathematical Physics, 1979
- Anharmonic oscillator and the analytic theory of continued fractionsPhysical Review D, 1978
- Coupling constant analyticity for the anharmonic oscillatorAnnals of Physics, 1970