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Bethe Ansatz and Quantum Davey-Stewartson 1 System with Multicomponent in Two Dimensions 1

Yi Cheng, Mu-lin Yan, Bao‐Heng Zhao

Published Jan 1, 1994• 0 citations
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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 delta\\deltadelta-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.