Super-Calogero-Moser-Sutherland systems and free super-oscillators : a mapping
نویسنده
چکیده
We show that the supersymmetric rational Calogero-Moser-Sutherland (CMS) model of AN+1-type is equivalent to a set of free super-oscillators, through a similarity transformation. We prescribe methods to construct the complete eigen-spectrum and the associated eigen-functions, both in supersymmetry preserving as well as supersymmetry breaking phases, from the free super-oscillator basis. Further we show that a wide class of superHamiltonians realizing dynamical OSp(2|2) supersymmetry, which also includes all types of rational super-CMS as a small subset, are equivalent to free super-oscillators. We study BCN+1-type super-CMS model in some detail to understand the subtleties involved in this method. PACS numbers: 03.65.Fd, 11.30.Pb, 05.30.Pr, 71.10.Pm Typeset using REVTEX E-mail address: [email protected] 1
منابع مشابه
Generalised discriminants, deformed quantum Calogero-Moser system and Jack polynomials
It is shown that the deformed Calogero-Moser-Sutherland (CMS) operators can be described as the restrictions on certain affine subvarieties of the usual CMS operators for infinite number of particles. The ideals of these varieties are shown to be generated by the Jack symmetric functions related to the Young diagrams with special geometry. Combinatorial formulas for the related super-Jack and s...
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