Eigenvalues of the Schrödinger Operator Corresponding to a System of Three Fermions on a One Dimensional Lattice
J. I. AbdullaevRomanovskiy Institute of Mathematics of the Academy of Sciences of Uzbekistan, 100174, Tashkent, UzbekistanSh. H. ErgashovaBukhara State University, 200100, Bukhara, Uzbekistan
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We consider the three-particle Schrödinger operator $$H_{\mu}(K),\,K\in\mathbb{T},$$ associated with a system of three fermions interacting neighboring sites on one dimensional lattice $$\mathbb{Z}$$ . We prove that for sufficiently large $$\mu$$ the operator $$H_{\mu}(\pi)$$ has a simple eigenvalue outside the essential spectrum.
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