Threshold Phenomena in the Spectrum of the Two-Particle Schrödinger Operator on a Lattice


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For a broad class of short-range pairwise attraction potentials, we study threshold phenomena in the spectrum of the two-particle Schrödinger operator associated with the energy operator of the s–d exchange model. We prove that the bound state (eigenvalue) either exists or does not exist depending on the exchange interaction parameter, the system quasimomentum, and dimension of the lattice.

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S. Lakaev

Samarkand State University

编辑信件的主要联系方式.
Email: slakaev@mail.ru
乌兹别克斯坦, Samarkand

A. Boltaev

Samarkand State University

Email: slakaev@mail.ru
乌兹别克斯坦, Samarkand

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