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Grigorii Zhislin

Publications and source records attributed to Grigorii Zhislin.

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On the Essential Spectrum of Many-Particle Pseudorelativistic Hamiltonians with Permutational Symmetry Account

In this paper we formulate our results on the essential spectrum of many-particle pseudorelativistic Hamiltonians without magnetic and external potential fields in the spaces of functions, having arbitrary type $α$ of the permutational symmetry. We discover location of the essential spectrum for all $α$ and for some cases we establish new properties of the lower bound of this spectrum, which are useful for study of the discrete spectrum.

math-ph