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Nanosystems: Physics, Chemistry, Mathematics, 2017, Volume 8, Issue 3, Pages 310–316
DOI: https://doi.org/10.17586/2220-8054-2017-8-3-310-316 (Mi nano40) 		 
MATHEMATICS

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

M. I. Muminov, C. Lokman

Department of Mathematic of Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
Full-text PDF (224 kB)
DOI: https://doi.org/10.17586/2220-8054-2017-8-3-310-316
Abstract: We consider a two-particle Schrödinger operator $H$ on the $d$-dimensional diamond lattice. We find a sufficiency condition of finiteness for discrete spectrum eigenvalues of $H$.
Keywords: two-particle Hamiltonian on lattice, Birman–Schwinger principle, discrete spectrum.
Received: 21.03.2017
Revised: 05.05.2017
Bibliographic databases:
Document Type: Article
Language: English
Citation: M. I. Muminov, C. Lokman, “Finiteness of discrete spectrum of the two-particle Schrödinger operator on diamond lattices”, Nanosystems: Physics, Chemistry, Mathematics, 8:3 (2017), 310–316
Citation in format AMSBIB
\Bibitem{MumLok17}
\by M.~I.~Muminov, C.~Lokman
\paper Finiteness of discrete spectrum of the two-particle Schr\"odinger operator on diamond lattices
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2017
\vol 8
\issue 3
\pages 310--316
\mathnet{http://mi.mathnet.ru/nano40}
\crossref{https://doi.org/10.17586/2220-8054-2017-8-3-310-316}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000412772400002}
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