A Number of Quasi-Exactly Solvable N-body Problems
Quantum Physics
2009-10-31 v1 Condensed Matter
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We present several examples of quasi-exactly solvable -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 corresponding 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.
Cite
@article{arxiv.quant-ph/9803003,
title = {A Number of Quasi-Exactly Solvable N-body Problems},
author = {Avinash Khare and Bhabani Prasad Mandal},
journal= {arXiv preprint arXiv:quant-ph/9803003},
year = {2009}
}
Comments
17pages, Revtex, no figure