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Tashpulatov, S.M. (2019) The Spectrum of the Energy Operator in Three-Electron Systems with an Impurity in the Hubbard Model. The Second Doublet State. Contemporary Mathematics. Fundamental Directions, 65, 109-123.
https://doi.org/10.22363/2413-3639-2019-65-1-109-123

has been cited by the following article:

• TITLE: Four-Electron Systems in the Impurity Hubbard Model. Second Triplet State. Spectra of the System in the ν-Dimensional Lattice Zν

  AUTHORS: S. M. Tashpulatov, R. T. Parmanova

  KEYWORDS: Spectra of Four-Electron System, Bound State, Anti-Bound State, Impurity Hubbard Model, Quintet State, Singlet State, Triplet State

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.11, November 10, 2023

  ABSTRACT: We consider an energy operator of four-electron system in the Impurity Hubbard model with a coupling between nearest-neighbors. The spectrum of the systems in the second triplet state in a ν-dimensional lattice is investigated. For investigation the structure of essential spectra and discrete spectrum of the energy operator of four-electron systems in an impurity Hubbard model, for which the momentum representation is convenient. In addition, we used the tensor products of Hilbert spaces and tensor products of operators in Hilbert spaces and described the structure of essential spectrum and discrete spectrum of the energy operator of four-electron systems in an impurity Hubbard model for the second triplet state of the system. The investigations show that the essential spectrum of the system consists of the union of no more than sixteen segments, and the discrete spectrum of the system consists of no more than eleven eigenvalues.