Eigenstates of Calogero–Sutherland–Moser model and generalized Schur functions

The eigenvalue problem for the Calogero–Sutherland–Moser model is solved exactly. The complete set of eigenfunctions is given by the homogeneous Laurent polynomials. Its subset consisting of polynomial solutions is expressed by the generalized Schur functions which correspond to the λ‐deformed gener...

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Veröffentlicht in:Journal of mathematical physics 1994-05, Vol.35 (5), p.2282-2296
1. Verfasser: Sogo, Kiyoshi
Format: Artikel
Sprache:eng
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Zusammenfassung:The eigenvalue problem for the Calogero–Sutherland–Moser model is solved exactly. The complete set of eigenfunctions is given by the homogeneous Laurent polynomials. Its subset consisting of polynomial solutions is expressed by the generalized Schur functions which correspond to the λ‐deformed general linear group.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.530552