Article

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

AIP conference proceedingsjournal2021en

ABI

Abstract

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.

Topics

Spectral Theory in Mathematical Physics Quantum chaos and dynamical systems Quantum Mechanics and Non-Hermitian Physics

Identifiers

DOI: 10.1063/5.0057260

Citations and references

Cited by 1 4 references

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