Nonlinear Schrödinger Equations for Identical Particles and the Separation Property

نویسنده

  • George SVETLICHNY
چکیده

We investigate the separation property for hierarchies of Schrödinger operators for identical particles. We show that such hierarchies of translation invariant second order differential operators are necessarily linear. A weakened form of the separation property, related to a strong form of cluster decomposition, allows for homogeneous hierarchies of nonlinear differential operators. Some connection with field theoretic formalisms in Fock space are pointed out.

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تاریخ انتشار 2003