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Please use this identifier to cite or link to this item: http://dspace.utalca.cl/handle/1950/4153

Title: Diagonalization of an integrable discretization of the repulsive delta Bose gas on the circle
Authors: Van Diejen, J.F.
Keywords: Ground-State Representation;Dimensional Heisenberg-Ferromagnet
Issue Date: 2006
Publisher: Kluwer Academic Publishing
Citation: Communications in Mathematical Physics 267(2): 451-476
Abstract: We introduce an integrable lattice discretization of the quantum system of n bosonic particles on a ring interacting pairwise via repulsive delta potentials. The corresponding (finite-dimensional) spectral problem of the integrable lattice model is solved by means of the Bethe Ansatz method. The resulting eigenfunctions turn out to be given by specializations of the Hall-Littlewood polynomials. In the continuum limit the solution of the repulsive delta Bose gas due to Lieb and Liniger is recovered, including the orthogonality of the Bethe wave functions first proved by Dorlas
Description: Van Diejen, J.F. Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile.
URI: http://dspace.utalca.cl/handle/1950/4153
ISSN: 0010-3616
Appears in Collections:Artículos en publicaciones ISI - Universidad de Talca

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