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This article is cited in 1 scientific paper (total in 1 paper)
Bethe Manifolds Associated with Classical Root Systems
V. V. Meshcheryakov Kolomna State Pedagogical Institute
Abstract:
The Calogero–Sutherland model [1] describes the state of a finite number of nonrelativistic particles on the circle (or on the hyperbola) interacting by the inverse-square law. For each classical root system (of the type $A_{n-1},B_n,C_n,D_n$), we describe the Bethe manifolds related to the Calogero–Sutherland model. In each case, the dimension of the manifold is calculated and its constitutive equations are given.
Keywords:
root system, Bethe manifold, Calogero–Sutherland model, nonrelativistic particle, Weyl group.
Received: 23.03.2007
Citation:
V. V. Meshcheryakov, “Bethe Manifolds Associated with Classical Root Systems”, Mat. Zametki, 82:5 (2007), 709–717; Math. Notes, 82:5 (2007), 635–642
Linking options:
https://www.mathnet.ru/eng/mzm4084https://doi.org/10.4213/mzm4084 https://www.mathnet.ru/eng/mzm/v82/i5/p709
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