IMPLICIT POTENTIALS ASSOCIATED WITH JACOBI-POLYNOMIALS - SOME NOVEL ASPECTS

Authors
WILLIAMS BW RUTHERFORD JL LEVAI G
Citation
Bw. Williams et al., IMPLICIT POTENTIALS ASSOCIATED WITH JACOBI-POLYNOMIALS - SOME NOVEL ASPECTS, Physics letters. A, 199(1-2), 1995, pp. 7-11
Citations number
18
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
199
Issue
1-2
Year of publication
1995
Pages
7 - 11
Database
ISI
SICI code
0375-9601(1995)199:1-2<7:IPAWJ->2.0.ZU;2-1
Abstract
The Schrodinger equation is solved for a potential V(g(r)) with an imp licitly defined g(r) function. Generally, it resembles certain Poschl- Teller potentials, up to inospectrality in a particular case. Together with a closely related implicit potential, it also offers a good exam ple demonstrating certain unusual characteristics of attractive singul ar potentials.