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
ABI
Abstract
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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