The Nonlinear Schrodinger Equation on the Half Line
Gattobigio, M. ; Liguori, A. ; Mintchev, M.
arXiv, 9811188 / Harvested from arXiv
Text on arXiv
The nonlinear Schrodinger 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 of the solution are established and discussed in detail. The relative scattering operator is derived in the Haag-Ruelle framework, suitably generalized to the case of broken translation invariance in space.
Publié le : 1998-11-20
Classification:  High Energy Physics - Theory,  Mathematical Physics,  Mathematics - Quantum Algebra,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{9811188,
     author = {Gattobigio, M. and Liguori, A. and Mintchev, M.},
     title = {The Nonlinear Schrodinger Equation on the Half Line},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9811188}
}

Gattobigio, M.; Liguori, A.; Mintchev, M. The Nonlinear Schrodinger Equation on the Half Line. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9811188/