Path integral solution of a class of potentials related to the Poschl-Teller potential
- 7 December 1989
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 22 (23) , 5073-5087
- https://doi.org/10.1088/0305-4470/22/23/012
Abstract
Some new exact path integral treatments are presented. These are the path integrals for the symmetric top, the 'smooth step', the Rosen-Morse- and the Manning-Rosen-potential. By appropriate spacetime transformations these path integral problems can be reduced to the path integral problem of the Poschl-Teller potential.Keywords
This publication has 27 references indexed in Scilit:
- Path integrals on curved manifoldsThe European Physical Journal C, 1987
- A new realisation of dynamical groups and factorisation methodJournal of Physics A: General Physics, 1987
- Path integration over compact and noncompact rotation groupsJournal of Mathematical Physics, 1987
- Path integral quantization of the symmetric Pöschl-Teller potentialPhysics Letters A, 1985
- Path integrals over the SU(2) manifold and related potentialsPhysical Review D, 1984
- Exact path integral solution of a class of potentials related to the rigid rotatorPhysics Letters A, 1984
- Quantum Mechanics of H‐Atom from Path IntegralsFortschritte der Physik, 1982
- Solution of the path integral for the H-atomPhysics Letters B, 1979
- Summation over Feynman Histories in Polar CoordinatesJournal of Mathematical Physics, 1969
- Bemerkungen zur Quantenmechanik des anharmonischen OszillatorsThe European Physical Journal A, 1933