/ 99 06 15 7 v 2 2 6 D ec 1 99 9 A Quantum Integrable System with Two Colour - Components in Two Dimensions ∗
نویسنده
چکیده
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 δ-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.
منابع مشابه
ar X iv : h ep - t h / 99 06 15 7 v 1 2 1 Ju n 19 99 Quantum Davey - Stewartson 1 System with Two Components in Two Dimensions ∗
The quantum 2-component DS1 system in two dimensions has been reduced to two 2-component many-body problems both in one dimension by an analogue of the method of separation of variables. The solutions to 2 dimensional problem under consideration can be constructed from the resulting problem in one dimensions. For latters with the δ-function interactions and being solved by the Bethe ansatz, we ...
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