Quantum resolution of the nonlinear super-Schrodinger equation
Mathematical Physics
2009-11-10 v1 High Energy Physics - Theory
math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/0306010,
title = {Quantum resolution of the nonlinear super-Schrodinger equation},
author = {V. Caudrelier and E. Ragoucy},
journal= {arXiv preprint arXiv:math-ph/0306010},
year = {2009}
}
Comments
20 pages, no figure