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Загальна кількість знайдених документів : 6
Представлено документи з 1 до 6
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Kashirina N. I. Pekar bipolaron and the virial theorem (arbitrary coupling) [Електронний ресурс] / N. I. Kashirina // Semiconductor physics, quantum electronics & optoelectronics. - 2014. - Vol. 17, № 3. - С. 260-267. - Режим доступу: http://nbuv.gov.ua/UJRN/MSMW_2014_17_3_11 The work is devoted to issues related with implementation of the virial theorem for one-center bipolaron. The virial theorem expressions have been obtained for an electron system with Coulomb interactions in the phonon field. It is shown that for the bipolaron functional (one-center configuration) virial theorem holds for arbitrary electron-phonon coupling. As a specific example of the virial theorem for one-center bipolaron configuration, the author adduces numerical calculations of the energy of the ground state and the various contributions (kinetic energy, electron-phonon interaction, electron energy, phonon energy) into the energy of bipolaron, performed within the framework of Buimistrov-Pekar method. It is shown that the virial theorem is fulfilled with high accuracy for the two-electron systems with Coulomb interactions for an arbitrary value electron-phonon coupling. The necessary condition for formation of a bipolaron stable state is accounting electron correlations associated with the direct dependence of the trial electron wave function of the system from the interelectron distance.
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Kashirina N. I. Application of quantum field theory methods to the development of the translational-invariant polaron and bipolaron theory [Електронний ресурс] / N. I. Kashirina // Ukrainian journal of physics. - 2014. - Vol. 59, № 11. - С. 1088-1092. - Режим доступу: http://nbuv.gov.ua/UJRN/Ukjourph_2014_59_11_9
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Kashirina N. I. Gross–Tulub polaron functional in the region of intermediate and strong coupling [Електронний ресурс] / N. I. Kashirina // Semiconductor physics, quantum electronics & optoelectronics. - 2017. - Vol. 20, № 3. - С. 319-324. - Режим доступу: http://nbuv.gov.ua/UJRN/MSMW_2017_20_3_8
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Kashirina N. I. Asymptotic dependence of Gross–Tulub polaron ground-state energy in the strong coupling region [Електронний ресурс] / N. I. Kashirina // Semiconductor physics, quantum electronics & optoelectronics. - 2017. - Vol. 20, № 4. - С. 430-436. - Режим доступу: http://nbuv.gov.ua/UJRN/MSMW_2017_20_4_8
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Kashirina N. I. Condensons and bicondensons in one-dimensional system [Електронний ресурс] / N. I. Kashirina, O. A. Korol // Semiconductor physics, quantum electronics & optoelectronics. - 2018. - Vol. 21, № 3. - С. 231-237. - Режим доступу: http://nbuv.gov.ua/UJRN/MSMW_2018_21_3_5 The paper is devoted to simulation of continual strong coupling condensons and bicondensons states in one-dimensional systems by using the Gaussian basis with exponentially correlated multipliers. To determine the accuracy of variational calculations, it has been shown that using the variational function consisting of a sum of 5 Gaussians reproduces the exact value of energy and wave function of the one-dimensional condenson with the accuracy of 7 and 5 significant digits, correspondingly. Analytical expressions for the effective functional of the one-dimensional bicondenson have been obtained. Variational calculations of singlet condenson ground state energy were carried out with simultaneous accounting of single-center correlations and correlations caused by a direct dependence of the bicondenson wave function on the distance between electrons. The graphical dependence of the bicondenson energy on the Coulomb repulsion parameter VC has been represented. The region of existence of bicondenson was determined as a function of electron-electron repulsion parameter <$EV sub C ~symbol Г~V sub C sup * ~symbol Ы~5,4>. The one-center bicondenson model has been considered, and distribution of the two-electron probability density (squared wave function of bicondenson) in the region <$E2~symbol Г~V sub C> has two maxima, the distance between which for $EV sub C~=~2> is <$ER sub m ~=~1,8567>. This distribution of the probability density is associated with the low dimensionality of the system under consideration.
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Kashirina N. I. Condensons and bicondensons in low-dimensional systems [Електронний ресурс] / N. I. Kashirina // Semiconductor physics, quantum electronics & optoelectronics. - 2018. - Vol. 21, № 3. - С. 316. - Режим доступу: http://nbuv.gov.ua/UJRN/MSMW_2018_21_3_19 The paper is devoted to simulation of continual strong coupling condensons and bicondensons states in one-dimensional systems by using the Gaussian basis with exponentially correlated multipliers. To determine the accuracy of variational calculations, it has been shown that using the variational function consisting of a sum of 5 Gaussians reproduces the exact value of energy and wave function of the one-dimensional condenson with the accuracy of 7 and 5 significant digits, correspondingly. Analytical expressions for the effective functional of the one-dimensional bicondenson have been obtained. Variational calculations of singlet condenson ground state energy were carried out with simultaneous accounting of single-center correlations and correlations caused by a direct dependence of the bicondenson wave function on the distance between electrons. The graphical dependence of the bicondenson energy on the Coulomb repulsion parameter VC has been represented. The region of existence of bicondenson was determined as a function of electron-electron repulsion parameter <$EV sub C ~symbol Г~V sub C sup * ~symbol Ы~5,4>. The one-center bicondenson model has been considered, and distribution of the two-electron probability density (squared wave function of bicondenson) in the region <$E2~symbol Г~V sub C> has two maxima, the distance between which for $EV sub C~=~2> is <$ER sub m ~=~1,8567>. This distribution of the probability density is associated with the low dimensionality of the system under consideration.
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