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QUANTUM RESOLUTION OF THE NONLINEAR SUPER-SCHRÖDINGER EQUATION

QUANTUM RESOLUTION OF THE NONLINEAR SUPER-SCHRÖDINGER EQUATION

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 …