Path-integral solutions for shape-invariant potentials using point canonical transformations
- 1 December 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 46 (11) , 6869-6880
- https://doi.org/10.1103/physreva.46.6869
Abstract
Using a supersymmetric path-integral formulation, we give explicit point canonical transformations which map the kernels (or energy-dependent Green’s function) of exactly known solvable shape-invariant potentials into those of two potential classes. Exact analytic expressions for the eigenvalues and eigenfunctions of these two classes of potentials are then retrieved following a standard procedure.Keywords
This publication has 21 references indexed in Scilit:
- SUPERSYMMETRY IN QUANTUM MECHANICSInternational Journal of Modern Physics A, 1990
- Path integral solution of a class of potentials related to the Poschl-Teller potentialJournal of Physics A: General Physics, 1989
- Supersymmetry, shape invariance, and exactly solvable potentialsAmerican Journal of Physics, 1988
- Feynman path integrals: Some exact results and applicationsPhysics Reports, 1986
- Supersymmetric quantum mechanics of one-dimensional systemsJournal of Physics A: General Physics, 1985
- General new-time formalism in the path integralPhysical Review A, 1984
- Alternative exact-path-integral treatment of the hydrogen atomPhysics Letters A, 1984
- Aspects of supersymmetric quantum mechanicsAnnals of Physics, 1983
- Dynamical breaking of supersymmetryNuclear Physics B, 1981
- Solution of the path integral for the H-atomPhysics Letters B, 1979