Author(s)

S. M. Tashpulatov

Institute of Nuclear Physics of Academy of Science of Republic of Uzbekistan, Tashkent, Uzbekistan.

We consider a five-electron system in the Hubbard model with a coupling between nearest-neighbors. The structure of essential spectrum and discrete spectrum of the systems in the third and fourth doublet states in a v-dimensional lattice is investigated. We prove that the essential spectrum of the system in a third doublet state consists is the union of at most four segments, and discrete spectrum of the system is empty. We show that the essential spectrum of the system in a fourth doublet state consists of the union of at most seven segments, and discrete spectrum of the system consists of no more than one point.

Essential Spectrum, Discrete Spectrum, Five-Electron System, Bound State, Anti-Bound State, Hubbard Model, Doublet State, Sextet State, Quartet State

Tashpulatov, S. (2020) Structure of Essential Spectrum and Discrete Spectra of the Energy Operator of Five-Electron Systems in the Hubbard Model. Third and Fourth Doublet States. Journal of Applied Mathematics and Physics, 8, 2886-2918. doi: 10.4236/jamp.2020.812214.