A Quantum Integrable System with Two Colour-Components in Two Dimensions

Details A Quantum Integrable System with Two Colour-Components in Two Dimensions A Quantum Integrable System with Two Colour-Components in Two Dimensions

1999-06-21

arxiv.org/abs/hep-th/9906157v2

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 18 pages, no figure

Scientific paper

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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