On the spectrum of the three-particle Hamiltonian on a unidimensional lattice

On a unidimensional lattice, the Hamiltonian of a system of three arbitrary particles is considered (with dispersion relations), where the particles interact pairwise via zero-range (contact) attractive potentials.We prove that the discrete spectrum of the corresponding Schrödinger operator is finit...

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Bibliographic Details
Main Authors: Aliev, N. M., Muminov, Mukhiddin É.
Format: Article
Published: Allerton Press Incorporation 2015
Subjects:
Online Access:http://eprints.utm.my/id/eprint/58687/
http://dx.doi.org/10.3103/S1055134415030013
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