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   <subfield code="a">A discrete &quot;three-particle” Schrödinger operator in the Hubbard model</subfield>
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   <subfield code="a">In the space L 2(T ν ×T ν ), where T ν is a ν-dimensional torus, we study the spectral properties of the &quot;three-particle” discrete Schrödinger operator Ĥ = H0 + H1 + H2, where H0 is the operator of multiplication by a function and H1 and H2 are partial integral operators. We prove several theorems concerning the essential spectrum of Ĥ. We study the discrete and essential spectra of the Hamiltonians Ht and h arising in the Hubbard model on the three-dimensional lattice.</subfield>
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