Exact solutions of generalized Calogero-Sutherland models: BCN and CN cases

1996/03/31 by M. Kojima, Masamichi Kojima, Nobuyoshi Ohta · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #cond-mat #hep-th #quant-ph

paper · pdf · doi:10.1016/0550-3213(96)00262-3

published as Nucl.Phys. B473 (1996) 455-468 · 11 pages, latex, no figures. A subtitle is added. Comments on additional solutions for B_N and D_N cases, and some additional references are included. Version to appear in Nuclear Physics B

arxiv created 1996/05/10 · openalex publication_date 1996/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using a collective field method, we obtain explicit solutions of the generalized Calogero-Sutherland models that are characterized by the roots of the classical groups B_N and C_N. Starting from the explicit wave functions for A_N-1 type expressed in terms of the singular vectors of the W_N algebra, we give a systematic method to construct wave functions and derive energy eigenvalues for other types of theories.

Citations

• Solution of the One-Dimensional N-Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials
• THE MODELS OF TWO-DIMENSIONAL CONFORMAL QUANTUM FIELD THEORY WITH Zn SYMMETRY

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