Finiteness of discrete spectrum of the two-particle Schrödinger operator on diamond lattices
Nanosistemy: fizika, himiâ, matematika, Tome 8 (2017) no. 3, pp. 310-316
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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.
@article{NANO_2017_8_3_a1,
author = {M. I. Muminov and C. Lokman},
title = {Finiteness of discrete spectrum of the two-particle {Schr\"odinger} operator on diamond lattices},
journal = {Nanosistemy: fizika, himi\^a, matematika},
pages = {310--316},
year = {2017},
volume = {8},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/NANO_2017_8_3_a1/}
}
TY - JOUR AU - M. I. Muminov AU - C. Lokman TI - Finiteness of discrete spectrum of the two-particle Schrödinger operator on diamond lattices JO - Nanosistemy: fizika, himiâ, matematika PY - 2017 SP - 310 EP - 316 VL - 8 IS - 3 UR - http://geodesic.mathdoc.fr/item/NANO_2017_8_3_a1/ LA - en ID - NANO_2017_8_3_a1 ER -
M. I. Muminov; C. Lokman. Finiteness of discrete spectrum of the two-particle Schrödinger operator on diamond lattices. Nanosistemy: fizika, himiâ, matematika, Tome 8 (2017) no. 3, pp. 310-316. http://geodesic.mathdoc.fr/item/NANO_2017_8_3_a1/