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https://doi.org/10.4064/-8-1-295-300

has been cited by the following article:

• TITLE: Structure of Essential Spectrum and Discrete Spectra of the Energy Operator of Five-Electron Systems in the Hubbard Model. Third and Fourth Doublet States

  AUTHORS: S. M. Tashpulatov

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

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.12, December 18, 2020

  ABSTRACT: 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.