Propagators for shape-invariant potentials
- 15 May 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 41 (10) , 3241-3247
- https://doi.org/10.1103/physrevd.41.3241
Abstract
We derive recursion relations for the propagators of shape-invariant potentials both in the operator formulation as well as in the path-integral formulation. This allows us to determine the form of the propagators recursively. We evaluate the propagators explicitly, for several shape-invariant potentials, using this method.Keywords
This publication has 27 references indexed in Scilit:
- Exact wave-function normalization constants for theand Pöschl-Teller potentialsPhysical Review A, 1978
- A class of solvable potentialsIl Nuovo Cimento (1869-1876), 1964
- A class of solvable potentialsIl Nuovo Cimento (1869-1876), 1962
- Complex potential model for low-energy neutron scatteringAnnals of Physics, 1961
- On the Connection between Phase Shifts and Scattering PotentialReviews of Modern Physics, 1949
- On a General Condition of Heisenberg for theMatrixPhysical Review B, 1947
- Bemerkungen zur Quantenmechanik des anharmonischen OszillatorsThe European Physical Journal A, 1933
- On the Vibrations of Polyatomic MoleculesPhysical Review B, 1932
- The Penetration of a Potential Barrier by ElectronsPhysical Review B, 1930
- Diatomic Molecules According to the Wave Mechanics. II. Vibrational LevelsPhysical Review B, 1929