Riccati equation, factorization method and shape invariance

Authors
Carinena, JF Ramos, A
Citation
Jf. Carinena et A. Ramos, Riccati equation, factorization method and shape invariance, REV MATH PH, 12(10), 2000, pp. 1279-1304
Citations number
26
Categorie Soggetti
Physics
Journal title
REVIEWS IN MATHEMATICAL PHYSICS
ISSN journal
0129055X → ACNP
Volume
12
Issue
10
Year of publication
2000
Pages
1279 - 1304
Database
ISI
SICI code
0129-055X(200010)12:10<1279:REFMAS>2.0.ZU;2-N
Abstract
The basic concepts of factorizable problems in one-dimensional Quantum Mech anics, as well as the theory of Shape Invariant potentials are reviewed. Th e relation of this last theory with a generalization of the classical Facto rization Method presented by Infeld and Hull is analyzed in detail. By the use of some properties of the Riccati equation the solutions of Infeld and Hull are generalized in a simple way.