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arxiv: hep-th/9801094 · v1 · submitted 1998-01-14 · ✦ hep-th · nlin.SI· solv-int

Quantization of the Nonlinear Schrodinger Equation on the Half Line

classification ✦ hep-th nlin.SIsolv-int
keywords algebraboundaryequationhalflinenonlinearschrodingersolution
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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.

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