Multi-Particle Quasi Exactly Solvable Difference Equations

Details Multi-Particle Quasi Exactly Solvable Difference Equations Multi-Particle Quasi Exactly Solvable Difference Equations

2007-08-06

arxiv.org/abs/0708.0716v1

J. Math. Phys. 48 (2007) 122105 (8pp)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX with amsfonts, amssymb, amsmath, no figure, 12 pages

Scientific paper

10.1063/1.2818561

Several explicit examples of multi-particle quasi exactly solvable `discrete' quantum mechanical Hamiltonians are derived by deforming the well-known exactly solvable multi-particle Hamiltonians, the Ruijsenaars-Schneider-van Diejen systems. These are difference analogues of the quasi exactly solvable multi-particle systems, the quantum Inozemtsev systems obtained by deforming the well-known exactly solvable Calogero-Sutherland systems. They have a finite number of exactly calculable eigenvalues and eigenfunctions. This paper is a multi-particle extension of the recent paper by one of the authors on deriving quasi exactly solvable difference equations of single degree of freedom.

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