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Quantization of the Nonlinear Schrodinger Equation on the Half Line

arXiv:hep-th/9801094 · doi:10.1016/S0370-2693(98)00399-2

Abstract

We establish the second quantized solution of the nonlinear Schrodinger equation on the half line with a mixed boundary condition. The solution is based on a new algebraic structure, which we call boundary exchange algebra and which substitutes, in the presence of boundaries, the familiar Zamolodchikov-Faddeev algebra.

Revtex file, no figures, 8 pages