Path integrals over the SU(2) manifold and related potentials

15 November 1984

journal article
research article
Published by American Physical Society (APS) in Physical Review D

Vol. 30 (10) , 2121-2127
https://doi.org/10.1103/physrevd.30.2121

Abstract

A path-integral formalism is developed on the SU(2) manifold parametrized in terms of the Euler angles. The Green's function is studied for the Pöschl-Teller potential and the corresponding wave functions and energy spectrum are obtained.

Keywords

PATH INTEGRAL

This publication has 12 references indexed in Scilit:

Morse-potential Green's function with path integrals
Physical Review D, 1983
Relativistic Oscillator: Linearly Rising Trajectories and Structure Functions
Physical Review Letters, 1983
Quantum Mechanics of H‐Atom from Path Integrals
Fortschritte der Physik, 1982
Solution of the path integral for the H-atom
Physics Letters B, 1979
Dynamics on the Group Manifold and Path Integral
Fortschritte der Physik, 1979
Exact wave-function normalization constants for the $B_{0} tanh z - U_{0} {cosh}^{- 2} z$ and Pöschl-Teller potentials
Physical Review A, 1978
Quantum mechanics on group space and Huygens' principle
Annals of Physics, 1971
A Path Integral for Spin
Physical Review B, 1968
Formulas and Theorems for the Special Functions of Mathematical Physics
Published by Springer Nature ,1966
Bemerkungen zur Quantenmechanik des anharmonischen Oszillators
The European Physical Journal A, 1933