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 ∗
نویسنده
چکیده
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 introduce symmetrical and antisymmetrical Young operators of the permutation group and obtain the exact solutions for the quantum DS1 system.
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