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Dal'nevostochnyi Matematicheskii Zhurnal, 2023, Volume 23, Number 1, Pages 112–133
DOI: https://doi.org/10.47910/FEMJ202310 (Mi dvmg511) 		 
Structure of essential spectrum and discrete spectra of the energy operator of five-electron systems in the Hubbard model. Fourth quartet state

S. M. Tashpulatov

Institute of Nuclear Physics, Academy of Sciences of Uzbekistan, Tashkent
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DOI: https://doi.org/10.47910/FEMJ202310
Abstract: We consider the energy operator of five-electron systems in the Hubbard model and investigate the structure of essential spectra and discrete spectrum of the system in the fourth quartet state of the system. We show that the essential spectrum of the system in fourth quartet states is the union of at most seven segments, and discrete spectrum of the system is at most one point.
Key words: five-electron system, Hubbard Model, quartet state, doublet state, sextet state, essential spectra, discrete spectra.
Received: 18.02.2022
Document Type: Article
UDC: 517.984
MSC: Primary 46L60; Secondary 47L90, 70H06, 70F05
Language: English
Citation: S. M. Tashpulatov, “Structure of essential spectrum and discrete spectra of the energy operator of five-electron systems in the Hubbard model. Fourth quartet state”, Dal'nevost. Mat. Zh., 23:1 (2023), 112–133
Citation in format AMSBIB
\Bibitem{Tas23}
\by S.~M.~Tashpulatov
\paper Structure of essential spectrum and discrete spectra of the
energy operator of five-electron systems in the Hubbard model.
Fourth quartet state
\jour Dal'nevost. Mat. Zh.
\yr 2023
\vol 23
\issue 1
\pages 112--133
\mathnet{http://mi.mathnet.ru/dvmg511}
\crossref{https://doi.org/10.47910/FEMJ202310}
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