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

Wifredo Garcia Fuertes; Miguel Lorente; Askold Perelomov

doi:10.1088/0305-4470/34/49/315

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

Mathematical Physics 2009-11-07 v1 math.MP Exactly Solvable and Integrable Systems

Authors: Wifredo Garcia Fuertes , Miguel Lorente , Askold Perelomov

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Abstract

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.

Keywords

calogero-sutherland model lowering operator raising operator complete integrability trigonometric case

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@article{arxiv.math-ph/0110038,
  title  = {An elementary construction of lowering and raising operators for the trigonometric Calogero-Sutherland model},
  author = {Wifredo Garcia Fuertes and Miguel Lorente and Askold Perelomov},
  journal= {arXiv preprint arXiv:math-ph/0110038},
  year   = {2009}
}

Comments

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

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

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