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

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.

UDC: 517.984

MSC: Primary 46L60; Secondary 47L90, 70H06, 70F05

Received: 18.02.2022

Language: English

DOI: 10.47910/FEMJ202310