Condensons and bicondensons in a one-dimensional systems
The paper is devoted to the 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 variationa...
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| Veröffentlicht in: | Semiconductor Physics Quantum Electronics & Optoelectronics |
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| Datum: | 2018 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України
2018
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/215293 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Condensons and bicondensons in a one-dimensional systems / N.I. Kashirina, O.A. Korol // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2018. — Т. 21, № 3. — С. 231-237. — Бібліогр.: 15 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862570403974610944 |
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| author | Kashirina, N.I. Korol, O.A. |
| author_facet | Kashirina, N.I. Korol, O.A. |
| citation_txt | Condensons and bicondensons in a one-dimensional systems / N.I. Kashirina, O.A. Korol // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2018. — Т. 21, № 3. — С. 231-237. — Бібліогр.: 15 назв. — англ. |
| collection | DSpace DC |
| container_title | Semiconductor Physics Quantum Electronics & Optoelectronics |
| description | The paper is devoted to the 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, respectively. 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 Vᴄ has been represented. The region of existence of bicondenson was determined as a function of electron-electron repulsion parameter Vᴄ ≤ V*ᴄ ≈ 5.4. The one-center bicondenson model has been considered, and the distribution of the two-electron probability density (squared wave function of bicondenson) in the region 2 ≤Vᴄ has two maxima, the distance between which for Vᴄ = 2 is Rm = 1.8567. This distribution of the probability density is associated with the low dimensionality of the system under consideration.
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| first_indexed | 2026-03-21T11:52:21Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-215293 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1560-8034 |
| language | English |
| last_indexed | 2026-04-15T20:39:16Z |
| publishDate | 2018 |
| publisher | Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України |
| record_format | dspace |
| spelling | Kashirina, N.I. Korol, O.A. 2026-03-11T10:16:59Z 2018 Condensons and bicondensons in a one-dimensional systems / N.I. Kashirina, O.A. Korol // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2018. — Т. 21, № 3. — С. 231-237. — Бібліогр.: 15 назв. — англ. 1560-8034 PACS: 71.38, 71.38.-k, 74.20.-z, 74.72-h https://nasplib.isofts.kiev.ua/handle/123456789/215293 https://doi.org/10.15407/spqeo21.03.231 The paper is devoted to the 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, respectively. 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 Vᴄ has been represented. The region of existence of bicondenson was determined as a function of electron-electron repulsion parameter Vᴄ ≤ V*ᴄ ≈ 5.4. The one-center bicondenson model has been considered, and the distribution of the two-electron probability density (squared wave function of bicondenson) in the region 2 ≤Vᴄ has two maxima, the distance between which for Vᴄ = 2 is Rm = 1.8567. This distribution of the probability density is associated with the low dimensionality of the system under consideration. en Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України Semiconductor Physics Quantum Electronics & Optoelectronics Semiconductor Physics Condensons and bicondensons in a one-dimensional systems Article published earlier |
| spellingShingle | Condensons and bicondensons in a one-dimensional systems Kashirina, N.I. Korol, O.A. Semiconductor Physics |
| title | Condensons and bicondensons in a one-dimensional systems |
| title_full | Condensons and bicondensons in a one-dimensional systems |
| title_fullStr | Condensons and bicondensons in a one-dimensional systems |
| title_full_unstemmed | Condensons and bicondensons in a one-dimensional systems |
| title_short | Condensons and bicondensons in a one-dimensional systems |
| title_sort | condensons and bicondensons in a one-dimensional systems |
| topic | Semiconductor Physics |
| topic_facet | Semiconductor Physics |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/215293 |
| work_keys_str_mv | AT kashirinani condensonsandbicondensonsinaonedimensionalsystems AT koroloa condensonsandbicondensonsinaonedimensionalsystems |