Bound states of a system of two fermions on invariant subspace
J. I. AbdullaevSamarkand State University, University Boulevard 15, Samarkand 140104, UzbekistanA. M. ToshturdievSamarkand State University, University Boulevard 15, Samarkand 140104, Uzbekistan
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ABI
Annotatsiya
We consider a Hamiltonian of a system of two fermions on a three-dimensional lattice ℤ3 with special potential v^. The corresponding Shrödinger operator H(k) of the system has an invariant subspace L123−(𝕋3). We study the eigenvalues and eigenfunctions of the restriction H123−(k) of the operator H(k) in the invariant subspace L123−(𝕋3). It is shown that, all the eigenvalues of the operator H123−(k) are simple.
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