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

M. I. MuminovDepartment of Mathematic of Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, MalaysiaC. LokmanDepartment of Mathematic of Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
2017en
ABI

Abstract

We consider a two-particle Schrdinger 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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