caa a22 4500 467911401 CHVBK 20180406152850.0 cr unu---uuuuu 170328e20060401xx s 000 0 eng 10.1007/s11232-006-0055-z doi (NATIONALLICENCE)springer-10.1007/s11232-006-0055-z Abdullaev J. Samarkand State University, Samarkand, Uzbekistan aut Bound states of a system of two fermions on a one-dimensional lattice [Elektronische Daten] [J. Abdullaev] We consider the Hamiltonian of a system of two fermions on a one-dimensional integer lattice. We prove that the number of bound states N(k) is a nondecreasing function of the total quasimomentum of the system k ∈ [0, π]. We describe the set of discontinuity points of N(k) and evaluate the jump N(k +0) − N(k) at the discontinuity points. We establish that the bound-state energy z n (k) increases as the total quasimomentum k ∈ [0, π] increases. Springer Science+Business Media, Inc., 2006 Hamiltonian nationallicence bound state nationallicence total quasimomentum nationallicence Schrödinger operator nationallicence eigenvalue nationallicence resonance nationallicence Birman-Schwinger principle nationallicence Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 147/1(2006-04-01), 486-495 0040-5779 147:1<486 2006 147 11232 https://doi.org/10.1007/s11232-006-0055-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0055-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Abdullaev J. Samarkand State University, Samarkand, Uzbekistan aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 147/1(2006-04-01), 486-495 0040-5779 147:1<486 2006 147 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer