On one-dimensional Schrodinger problems allowing polynomial solutions

Citation
G. Krylov et M. Robnik, On one-dimensional Schrodinger problems allowing polynomial solutions, J PHYS A, 33(6), 2000, pp. 1233-1245
Citations number
20
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
6
Year of publication
2000
Pages
1233 - 1245
Database
ISI
SICI code
0305-4470(20000218)33:6<1233:OOSPAP>2.0.ZU;2-F
Abstract
We discuss the explicit construction of the Schrodinger equations admitting a representation through some family of general polynomials. Almost all so lvable quantum potentials are shown to be generated by this approach. Some generalization has also been performed in higher-dimensional problems.