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Quantum resolution of the nonlinear super-Schrodinger equation

V. Caudrelier·E. Ragoucy
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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.

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V. Caudrelier, E. Ragoucy. 2003-06-03. Quantum resolution of the nonlinear super-Schrodinger equation. https://doi.org/10.1142/s0217751x0401804x

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