A Number of Quasi-Exactly Solvable N-body Problems

Details A Number of Quasi-Exactly Solvable N-body Problems A Number of Quasi-Exactly Solvable N-body Problems

1998-03-02

arxiv.org/abs/quant-ph/9803003v1

J.Math.Phys. 39 (1998) 5789-5794

Physics

Quantum Physics

17pages, Revtex, no figure

Scientific paper

10.1063/1.532593

We present several examples of quasi-exactly 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 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.

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