Finiteness of discrete spectrum of the two-particle Schrodinger operator on diamond lattices

We consider a two-particle Schrodinger operator H on the d dimensional diamond lattice. We find a sufficiency condition of finiteness for discrete spectrum eigenvalues of H.

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Bibliographic Details
Main Authors: Muminov, M. I., Lokman, C.
Format: Article
Published: ST PETERSBURG NATL RESEARCH UNIV INFORMATION TECHNOLOGIES, MECH & OPTICS 2017
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Online Access:http://eprints.utm.my/id/eprint/77388/
http://dx.doi.org/10.17586/2220-8054-2017-8-3-310-316
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Institution: Universiti Teknologi Malaysia
Description
Summary:We consider a two-particle Schrodinger operator H on the d dimensional diamond lattice. We find a sufficiency condition of finiteness for discrete spectrum eigenvalues of H.