DO QUASI-EXACTLY SOLVABLE SYSTEMS ALWAYS CORRESPOND TO ORTHOGONAL POLYNOMIALS

Authors
KHARE A MANDAL BP
Citation
A. Khare et Bp. Mandal, DO QUASI-EXACTLY SOLVABLE SYSTEMS ALWAYS CORRESPOND TO ORTHOGONAL POLYNOMIALS, Physics letters. A, 239(4-5), 1998, pp. 197-200
Citations number
11
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
239
Issue
4-5
Year of publication
1998
Pages
197 - 200
Database
ISI
SICI code
0375-9601(1998)239:4-5<197:DQSSAC>2.0.ZU;2-L
Abstract
We consider two quasi-exactly solvable problems in one dimension for w hich the Schrodinger equation can be converted to Heun's equation. We show that in neither case the Bender-Dunne polynomials form an orthogo nal set. Using the anti-isopectral transformation we also discover a n ew quasi-exactly solvable problem and show that even in this case the polynomials do not form an orthogonal set. (C) 1998 Elsevier Science B .V.