Polynomial families and Schrodinger equation: one example for nonhypergeometric type of correspondence

Authors
Krylov, G Robnik, M
Citation
G. Krylov et M. Robnik, Polynomial families and Schrodinger equation: one example for nonhypergeometric type of correspondence, J PHYS A, 34(26), 2001, pp. 5403-5415
Citations number
37
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
26
Year of publication
2001
Pages
5403 - 5415
Database
ISI
SICI code
0305-4470(20010706)34:26<5403:PFASEO>2.0.ZU;2-N
Abstract
We discuss the explicit construction of the Schrodinger equations admitting representation through some family of general nonorthogonal polynomials. T he specific choice of the third-order polynomial coefficient functions, tha t lead to quasi-solvable families of Schrodinger potentials, is considered in detail.