Infiniteness of the Discrete Spectrum of Two-Particle Discrete Schrödinger Operators

We consider a family of discrete Schrödinger operators where is the two-particle quasi-momentum associated to a system of two particles on the -dimensional lattice . When the pre-image of the two-particle dispersion relation at the right edge of the essential spectrum of is of dimension or , we obta...

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Veröffentlicht in:	Lobachevskii journal of mathematics 2023-07, Vol.44 (7), p.2781-2789
1. Verfasser:	Lakaev, Sh. S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Eigenvalues Geometry Mathematical Logic and Foundations Mathematics Mathematics and Statistics Operators (mathematics) Probability Theory and Stochastic Processes
Online-Zugang:	Volltext
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