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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
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
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
Linking options:
https://www.mathnet.ru/eng/nano40 https://www.mathnet.ru/eng/nano/v8/i3/p310
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Abstract page: | 45 | Full-text PDF : | 21 |
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