Quantum resolution of the nonlinear super-Schrodinger equation
Caudrelier, V. ; Ragoucy, E.
arXiv, 0306010 / Harvested from arXiv
Text on arXiv
We introduce a Z_2-graded version of the nonlinear Schrodinger equation that includes one fermion and one boson at the same time. This equation is shown to possess a supersymmetry which proves to be itself part of a super-Yangian symmetry based on gl(1|1). The solution exhibits a super version form of the classical Rosales solution. Then, we second quantize these results, and give a Lax pair formulation (based on gl(2|1)) for the model.
Publié le : 2003-06-03
Classification:  Mathematical Physics,  High Energy Physics - Theory,  81R12 
@article{0306010,
     author = {Caudrelier, V. and Ragoucy, E.},
     title = {Quantum resolution of the nonlinear super-Schrodinger equation},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0306010}
}

Caudrelier, V.; Ragoucy, E. Quantum resolution of the nonlinear super-Schrodinger equation. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0306010/