aqora

Structure of essential spectra and discrete spectrum of the energy operator of six electron systems in the Hubbard model. First quintet state

Sadulla Mamarazhabovich Tashpulatov

Ðàññìàòðèâàåòñÿ øåñòèýëåêòðîííàÿ ñèñòåìà â ìîäåëè ÕàááàðäàF Îïèñàíà ñòðóêòóðà ñóùåñòâåííîãî ñïåêòðà è äèñêðåòíûé ñïåêòð â ýòîé ìîäåëè â ñëó÷àå ïåðâîãî êâèíòåòíîãî ñîñòîÿíèÿF ÄîêàçûE âàåòñÿD ÷òîD â îäíîìåðíîì ñëó÷àåD ñóùåñòâåííûé ñïåêòð ñèñòåìû åñòü îáúåäèíåíèå ñåìüè îòðåçêîâD à äèñêðåòíûé ñïåêòð ñèñòåìû ñîñòîèò èç íå áîëåå îäíîãî ñîáñòâåííîãî çíà÷åíèÿF Êëþ÷åâûå ñëîâàX ìîäåëüÐàññìàòðèâàåòñÿ øåñòèýëåêòðîííàÿ ñèñòåìà â ìîäåëè ÕàááàðäàF Îïèñàíà ñòðóêòóðà ñóùåñòâåííîãî ñïåêòðà è äèñêðåòíûé ñïåêòð â ýòîé ìîäåëè â ñëó÷àå ïåðâîãî êâèíòåòíîãî ñîñòîÿíèÿF ÄîêàçûE âàåòñÿD ÷òîD â îäíîìåðíîì ñëó÷àåD ñóùåñòâåííûé ñïåêòð ñèñòåìû åñòü îáúåäèíåíèå ñåìüè îòðåçêîâD à äèñêðåòíûé ñïåêòð ñèñòåìû ñîñòîèò èç íå áîëåå îäíîãî ñîáñòâåííîãî çíà÷åíèÿF Êëþ÷åâûå ñëîâàX ìîäåëü

International Scientific Conference Ufa Autumn Mathematical SchoolJan 1, 20210 citations

Structure of Essential Spectrum and Discrete Spectrum of the Energy Operator of Five-Electron Systems in the Hubbard Model—Doublet States

Sadulla Mamarazhabovich Tashpulatov

Trends in mathematicsJan 1, 20213 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.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 PhysicsMar 1, 20260 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 PhysicsMar 1, 20250 citations

Spectra of the Energy Operator of Three-Electron Systems in the Impurity Hubbard Model. Second Doublet State

Sadulla Mamarazhabovich Tashpulatov

Journal of Mathematical SciencesJul 1, 20223 citations

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.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 PhysicsJan 1, 202110 citations

Structure of essential spectra and discrete spectrum of the energy operator of four electron systems in the Impurity Hubbard model. Third triplet state

Abstract

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Structure of essential spectra and discrete spectrum of the energy operator of four electron systems in the Impurity Hubbard model. Third triplet state

Abstract

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