Abstract

We introduce a Z2-graded version of the nonlinear Schr¨odinger 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(1j1). 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(2j1)) for the model.

Publication Type:	Article
Additional Information:	Electronic version of an article published as V. CAUDRELIER and E. RAGOUCY, Int. J. Mod. Phys. A 19, 1559 (2004). DOI: 10.1142/S0217751X0401804X © copyright World Scientific Publishing Company, http://www.worldscientific.com/worldscinet/ijmpa
Publisher Keywords:	Integrable systems, supersymmetry, ZF algebras
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Departments:	School of Science & Technology > Mathematics

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