A number of quasiexactly solvable N-body problems

Authors
Khare, A Mandal, BP
Citation
A. Khare et Bp. Mandal, A number of quasiexactly solvable N-body problems, J MATH PHYS, 39(11), 1998, pp. 5789-5797
Citations number
22
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
39
Issue
11
Year of publication
1998
Pages
5789 - 5797
Database
ISI
SICI code
0022-2488(199811)39:11<5789:ANOQSN>2.0.ZU;2-0
Abstract
We present several examples of quasiexactly solvable N-body problems in one , two, and higher dimensions. We study various aspects of these problems in some detail. In particular, we show that in some of these examples the cor responding polynomials form an orthogonal set, and many of their properties are similar to those of the Bender-Dunne polynomials. We also discuss QES problems where the polynomials do not form an orthogonal set. (C) 1998 Amer ican Institute of Physics. [S0022-2488(98)04510-1].