Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-11-22
Published in Phys Rev E61,4745 (2000)
Physics
Condensed Matter
Statistical Mechanics
14 pages, LaTeX file
Scientific paper
10.1103/PhysRevE.61.4745
The Davey-Stewartson 1(DS1) system[9] is an integrable model in two dimensions. A quantum DS1 system with 2 colour-components in two dimensions has been formulated. This two-dimensional problem has been reduced to two one-dimensional many-body problems with 2 colour-components. The solutions of the two-dimensional problem under consideration has been constructed from the resulting problems in one dimensions. For latters with the $\delta $-function interactions and being solved by the Bethe ansatz, we introduce symmetrical and antisymmetrical Young operators of the permutation group and obtain the exact solutions for the quantum DS1 system. The application of the solusions is discussed.
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