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


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Article Info

DATE

2019-03

AUTHORS

S. N. Lakaev, A. T. Boltaev

ABSTRACT

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. More... »

PAGES

363-375

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1134/s0040577919030036

DOI

http://dx.doi.org/10.1134/s0040577919030036

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1113362875


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