City Research Online

Abstract

We consider a version of the nonlinear Schrodinger equation with M bosons and N fermions. We first solve the classical and quantum versions of this equation, using a super-Zamolodchikov-Faddeev (ZF) algebra. Then we prove that the hierarchy associated to this model admits a super-Yangian Y(gl(Mparallel toN)) symmetry. We exhibit the corresponding (classical and quantum) Lax pairs. Finally, we construct explicitly the super-Yangian generators, in terms of the canonical fields on the one hand, and in terms of the ZF algebra generators on the other hand. The latter construction uses the well-bred operators introduced recently. (C) 2003 American Institute of Physics.

Publication Type:	Article
Publisher Keywords:	QUANTUM FIELD-THEORY, INVERSE SCATTERING METHOD, EVOLUTION EQUATIONS, MODEL, INTEGRABILITY, CONNECTION, OPERATORS, HIERARCHY, TRANSFORM, SYSTEMS
Subjects:	Q Science > QC Physics
Departments:	School of Science & Technology > Mathematics
SWORD Depositor:	Symplectic Administrator

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