The Nonlinear Schrödinger Equation on the Half Line

@inproceedings{Gattobigio1998TheNS,
title={The Nonlinear Schr{\"o}dinger Equation on the Half Line},
author={M. Gattobigio and Antonio Liguori},
year={1998}
}

The nonlinear Schrödinger equation on the half line with mixed boundary condition is investigated. After a brief introduction to the corresponding classical boundary value problem, the exact second quantized solution of the system is constructed. The construction is based on a new algebraic structure, which is called in what follows boundary algebra and which substitutes, in the presence of boundaries, the familiar Zamolodchikov-Faddeev algebra. The fundamental quantum field theory properties… CONTINUE READING