Geodesic
Finiteness of discrete spectrum of the two-particle Schr\"odinger 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},
     publisher = {mathdoc},
     volume = {8},
     number = {3},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2017_8_3_a1/}
}
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M. I. Muminov; C. Lokman. Finiteness of discrete spectrum of the two-particle Schr\"odinger 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/