Quantum resolution of the nonlinear super-Schrödinger equation
نویسنده
چکیده
We introduce a Z2-graded version of the nonlinear Schrödinger 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 superYangian 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. PACS numbers: 02.30.Ik, 03.70.+k, 11.10.-z, 11.30.Pb math-ph/yymmnn LAPTH-956/02 December 02 [email protected] [email protected] UMR 5108 du CNRS, associée à l’Université de Savoie.
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تاریخ انتشار 2003