Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

American Review of Mathematics and Statistics

Structure of Essential Spectra and Discrete Spectrum of the Energy Operator of Five Electron Systems in the Hubbard Model. Sextet and Quartet States

Sadulla Mamarazhabovich Tashpulatov

Published Jan 1, 2021• 1 citation
Publisher

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 sextet, and first, second, and third quartet states in a ν-dimensional lattice are investigated.
DOI
10.15640/arms.v9n1a2

Related papers

Structure of Essential Spectra and Discrete Spectrum of the Energy Operator of Six-Electron Systems in the Hubbard Model. First Quintet and First Singlet States

Sadulla Mamarazhabovich Tashpulatov

We consider the energy operator of six-electron systems in the Hubbard model and investigate the structure of essential spectra and discrete spectrum of the system in the first quintet and first singlet states in the v-dimensional lattice.

Journal of Applied Mathematics and Physics•Jan 1, 2022•1 citation

The Structure of Essential Spectra and Discrete Spectrum of Three-Electron Systems in the Impurity Hubbard Model—Quartet State

Sadulla Mamarazhabovich Tashpulatov

We consider a three-electron system in the Impurity Hubbard model with a coupling between nearest-neighbors.Our research aim consists of studying the structure of essential spectrum and discrete spectra of the energy operator of three-electron systems in the impurity Hubbard model in the quartet state of the system in a ν -dimensional lattice.We have reduced the study of the spectrum of the three-electron quartet state operator in the impurity Hubbard model to the study of the spectrum of a simpler operator.We proved the essential spectra of the three-electron systems in the Impurity Hubbard model in the quartet state is the union of no more than six segments, and the discrete spectrum of the system is consists of no more than four eigenvalues.

Journal of Applied Mathematics and Physics•Jan 1, 2021•10 citations

Structure of essential spectra and discrete spectrum of the energy operator of four-electron systems in the impurity Hubbard model. Quintet state. In the two- and three-dimensional lattice

Sadulla Mamarazhabovich Tashpulatov, Rukhsat Parmanova

We consider the operator energy of four-electron systems in the impurity Hubbard model and investigated the structure of essential spectra and discrete spectrum of the system for quintet state in the two-and three-dimensional lattice.

AIP conference proceedings•Jan 1, 2024•0 citations

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

Sadulla Mamarazhabovich Tashpulatov, R. T. Parmanova

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.

Journal of Applied Mathematics and Physics•Jan 1, 2023•0 citations

First triplet four-electron state in the impurity Hubbard model. Three-dimensional case

R. T. Parmanova

Abstract We consider the energy operator of a four-electron system in the impurity Hubbard model and investigate the structure of essential spectra and the discrete spectrum of the system in the first triplet state on the three-dimensional lattice.

Theoretical and Mathematical Physics•Mar 1, 2025•0 citations

Three-electron first doublet in the impurity Hubbard model

Sadulla Mamarazhabovich Tashpulatov

We consider the energy operator of a three-electron systems in the impurity Hubbard model and investigate the structure of essential spectra and discrete spectrum of the system in the first doublet state on the $$\nu$$ -dimensional lattice.

Theoretical and Mathematical Physics•Mar 1, 2026•0 citations
We consider a three-electron system in the Impurity Hubbard model with a coupling between nearest-neighbors.Our research aim consists of studying the structure of essential spectrum and discrete spectra of the energy operator of three-electron systems in the impurity Hubbard model in the quartet state of the system in a ν -dimensional lattice.We have reduced the study of the spectrum of the three-electron quartet state operator in the impurity Hubbard model to the study of the spectrum of a simpler operator.We proved the essential spectra of the three-electron systems in the Impurity Hubbard model in the quartet state is the union of no more than six segments, and the discrete spectrum of the system is consists of no more than four eigenvalues.
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.
We consider the energy operator of a three-electron systems in the impurity Hubbard model and investigate the structure of essential spectra and discrete spectrum of the system in the first doublet state on the ν\nuν -dimensional lattice.