Path-integral solutions for shape-invariant potentials using point canonical transformations

Journal Article · Tue Dec 01 04:00:00 EST 1992 · Physical Review A. General Physics; (United States)

DOI:https://doi.org/10.1103/PhysRevA.46.6869· OSTI ID:7201599

De, R; Dutt, R ^[1]; Sukhatme, U ^[2]

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1. Department of Physics, Visva Bharati University, Santiniketan 731 235, West Bengal (India)
2. Department of Physics, University of Illinois at Chicago, Chicago, Illinois 60680 (United States)

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.

• OSTI ID: 7201599
• Journal Information: Physical Review A. General Physics; (United States), Journal Name: Physical Review A. General Physics; (United States) Vol. 46:11; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CANONICAL TRANSFORMATIONS
EIGENFUNCTIONS
EIGENVALUES
ENERGY DEPENDENCE
FEYNMAN PATH INTEGRAL
FUNCTIONS
GREEN FUNCTION
INTEGRALS
KERNELS
MECHANICS
POTENTIALS
QUANTUM MECHANICS
SUPERSYMMETRY
SYMMETRY
TRANSFORMATIONS