Quantum resolution of the nonlinear super-Schrodinger equation

Details Quantum resolution of the nonlinear super-Schrodinger equation Quantum resolution of the nonlinear super-Schrodinger equation

2003-06-03

arxiv.org/abs/math-ph/0306010v1

Int.J.Mod.Phys. A19 (2004) 1559-1578

Physics

Mathematical Physics

20 pages, no figure

Scientific paper

10.1142/S0217751X0401804X

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.

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