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

Abstract

The quantum 2-component DS1 system was reduced to two 1D many-body problems with $\delta -$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.

7 pages, no figures