aqora

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

Sadulla Mamarazhabovich Tashpulatov, R. T. Parmanova

Ðàññìàòðèâàåòñÿ ÷åòûðåõýëåêòðîííàÿ ñèñòåìà â ïðèìåñíîé ìîäåëè Õàááàðäà.Îïèñàíà ñòðóêòóðà ñóùåñòâåííîãî ñïåêòðà è äèñêðåòíûé ñïåêòð â ýòîé ìîäåëè â ñëó÷àå òðåòüåãî òðèíëåòíîãî ñîñòîÿíèÿ.Äîêàçûâàåòñÿ, ÷òî, â îäíîìåðíîì ñëó÷àå, ñóùåñòâåííûé ñïåêòð ñèñòåìû åñòü îáúåäèíåíèå íå áîëåå ÷åì øåñòíàäöàòü îòðåçêîâ, à äèñêðåòíûé ñïåêòð ñèñòåìû ñîñòîèò èç íå áîëåå îäèíàäöàòü ñîáñòâåííîãî çíà÷åíèå.Êëþ÷åâûå ñëîâà: ìîäåëü Õàááàðäà, ïðèìåñíîé ìîäåëü Õàááàðäà, ÷åòûðåõýëåêòðîííàÿ ñèñòåìà, òðèïëåòíîå ñîñòîÿíèå, ñóùåñòâåííûé ñïåêòð, äèñêðåòíûé ñïåêòð

International Scientific Conference Ufa Autumn Mathematical SchoolJan 1, 20211 citation

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 PhysicsJan 1, 20221 citation

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 proceedingsJan 1, 20240 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.

Journal of Applied Mathematics and PhysicsJan 1, 202110 citations

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

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.

American Review of Mathematics and StatisticsJan 1, 20211 citation

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

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

Abstract

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

Abstract

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