BENDER-DUNNE ORTHOGONAL POLYNOMIALS - GENERAL-THEORY

Authors
KRAJEWSKA A USHVERIDZE A WALCZAK Z
Citation
A. Krajewska et al., BENDER-DUNNE ORTHOGONAL POLYNOMIALS - GENERAL-THEORY, Modern physics letters A, 12(16), 1997, pp. 1131-1144
Citations number
15
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields","Physycs, Mathematical
Journal title
Modern physics letters A → ACNP
ISSN journal
02177323
Volume
12
Issue
16
Year of publication
1997
Pages
1131 - 1144
Database
ISI
SICI code
0217-7323(1997)12:16<1131:BOP-G>2.0.ZU;2-W
Abstract
A general theory of Bender-Dunne orthogonal polynomials is proposed. I t is shown that these polynomials can easily be constructed for any ex plicitly tridiagonalizable Hamiltonians and are, in fact, the orthogon al polynomials in a discrete variable which takes its values in the se t of energy levels of the corresponding quantum model. The weight func tions for Bender-Dunne polynomials are explicitly constructed.