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

Yi Cheng·Mu-Lin Yan·Bao-Heng Zhao
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Abstract

The quantum 2-component DS1 system was reduced to two 1D many-body problems with $δ-$function interactions, which were solved by Bethe ansatz. Using the ansatz in ref.[1] and introducing symmetric and antisymmetric Young operators of the permutation group, we obtain the exact solutions for the system.

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Yi Cheng, Mu-Lin Yan, Bao-Heng Zhao. 1994-02-21. Bethe Ansatz and Quantum Davey-Stewartson 1 System with Multicomponent in Two Dimensions. https://arxiv.org/abs/cond-mat/9402086

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