Author： Abdullaev J.
Publisher： Springer Publishing Company
ISSN： 0040-5779
Source： Theoretical and Mathematical Physics, Vol.147, Iss.1, 2006-04, pp. : 486-495
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Abstract
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, ]. 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
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