An elementary construction of lowering and raising operators for the trigonometric Calogero-Sutherland model

Details An elementary construction of lowering and raising operators for the trigonometric Calogero-Sutherland model An elementary construction of lowering and raising operators for the trigonometric Calogero-Sutherland model

2001-10-31

arxiv.org/abs/math-ph/0110038v1

J. Phys. A: Math. Gen. 34 (2001) 10963-10973

Physics

Mathematical Physics

11 pages, no figures, to appear in J. Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/34/49/315

Quantum Calogero-Sutherland model of $A_n$ type is completely integrable.
Using this fact, we give an elementary construction of lowering an raising
operators for the trigonometric case. This is similar, but more complicated
(due to the fact that the energy spectrum is not equidistant) than the
construction for the rational case.

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