Article

Bound states of the system of two fermions on the three-dimensional lattice

J. I. AbdullaevSamarkand State University, Samarkand, UzbekistanBerdiyor MamirovSamarkand State University, Samarkand, Uzbekistan

Journal of Physics Conference Seriesjournal2016en

ABI

Abstract

In this paper, the Hamiltonian of the system of two fermions on the three-dimensional lattice 3 is considered. Under some conditions to the potential, it is proven that H(k) has four invariant subspaces: in one of them H(k) coincides with H0(k) and the restrictions of H(k) to the rests three subspaces are unitarily equivalent to each other. Moreover, for the eigenvalues and eigenfunctions of these restricted operators explicit expressions are found.

Topics

Spectral Theory in Mathematical Physics Quantum chaos and dynamical systems Matrix Theory and Algorithms

Identifiers

DOI: 10.1088/1742-6596/697/1/012022

Citations and references

Cited by 07 references

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