Finiteness of discrete spectrum of the two-particle Schrodinger operator on diamond lattices
https://doi.org/10.17586/2220-8054-2017-8-3-310-316
Abstract
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.
Supporting agencies: We thank the referee for valuable comments and gratefully acknowledge the support of the Malaysian Ministry of Education (MOE) through the Research Management Center (RMC), Universiti Teknologi Malaysia (Vote: QJ130000.2726.01K82)
About the Author
M. I. Muminov
Universiti Teknologi Malaysia
Malaysia
Malaysia
Department of Mathematic of Sciences, Faculty of Science
81310 UTM Johor Bahru, Johor
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Review
For citations:
Muminov M.I. Finiteness of discrete spectrum of the two-particle Schrodinger operator on diamond lattices. Nanosystems: Physics, Chemistry, Mathematics. 2017;8(3):310-316. https://doi.org/10.17586/2220-8054-2017-8-3-310-316
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