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Умови стабiльностi двовимiрних квантових систем трьох заряджених частинок
For a two-dimensional Coulomb system of three charged particles, among which two particles are identical and the third particle is of different nature, we study the conditions of existence for symmetric and antisymmetric bound energy states (conditions of stability) in the mass–charge (m;Z) plane. H...
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Publishing house "Academperiodika"
2018
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ujp2-article-20182942019-03-05T14:29:35Z The Conditions of Stability of Two-Dimensional Quantum Systems of Three Charged Particles Умови стабiльностi двовимiрних квантових систем трьох заряджених частинок Simenog, I. V. Mikhnyuk, V. V. Kuzmenko, M. V. три зарядженi частинки двовимiрнi системи стабiльнiсть варiацiйний метод структурнi функцiї three charged particles two-dimensional systems stability variational method structural functions For a two-dimensional Coulomb system of three charged particles, among which two particles are identical and the third particle is of different nature, we study the conditions of existence for symmetric and antisymmetric bound energy states (conditions of stability) in the mass–charge (m;Z) plane. High-precision three-body numerical calculations based on a stochastic variational method with Gaussian bases are performed. Several anomalous effects in the behavior of the characteristic distances between particles are revealed, and the nonzero quadrupole moment is found in a two-dimensional polar-symmetric field. The systematic comparison of the results for two- and three-dimensional systems is performed. The values of energy and size, the density distributions, and the correlation functions for the various reference three-particle systems are obtained. Дослiджено умови iснування симетричних та антисиметричних зв’язаних енергетичних рiвнiв (умови стабiльностi) на площинi маса–заряд (m;Z) для двовимiрних кулонiвських систем трьох заряджених частинок, коли розглядаються двi тотожнi частинки одного сорту, а третя частинка iншого сорту. Високоточнi тричастинковi чисельнi розрахунки виконано на основi стохастичного варiацiйного методу з гаусоїдними базисами. Встановлено низку аномальних ефектiв у поведiнцi характерних вiдстаней мiж частинками та наявностi ненульового квадрупольного моменту у двовимiрному полярно-симетричному полi. Виконано систематичне порiвняння результатiв дослiдження для дво- та тривимiрних систем. Для декотрих еталонних систем трьохчастинок отримано енергiї, розмiри, розподiли густини та кореляцiйнi функцiї. Publishing house "Academperiodika" 2018-10-06 Article Article Peer-reviewed application/pdf application/pdf https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018294 10.15407/ujpe58.03.0289 Ukrainian Journal of Physics; Vol. 58 No. 3 (2013); 289 Український фізичний журнал; Том 58 № 3 (2013); 289 2071-0194 2071-0186 10.15407/ujpe58.03 en uk https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018294/226 https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018294/227 Copyright (c) 2018 Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine |
| institution |
Ukrainian Journal of Physics |
| collection |
OJS |
| language |
English Ukrainian |
| topic |
три зарядженi частинки двовимiрнi системи стабiльнiсть варiацiйний метод структурнi функцiї three charged particles two-dimensional systems stability variational method structural functions |
| spellingShingle |
три зарядженi частинки двовимiрнi системи стабiльнiсть варiацiйний метод структурнi функцiї three charged particles two-dimensional systems stability variational method structural functions Simenog, I. V. Mikhnyuk, V. V. Kuzmenko, M. V. Умови стабiльностi двовимiрних квантових систем трьох заряджених частинок |
| topic_facet |
три зарядженi частинки двовимiрнi системи стабiльнiсть варiацiйний метод структурнi функцiї three charged particles two-dimensional systems stability variational method structural functions |
| format |
Article |
| author |
Simenog, I. V. Mikhnyuk, V. V. Kuzmenko, M. V. |
| author_facet |
Simenog, I. V. Mikhnyuk, V. V. Kuzmenko, M. V. |
| author_sort |
Simenog, I. V. |
| title |
Умови стабiльностi двовимiрних квантових систем трьох заряджених частинок |
| title_short |
Умови стабiльностi двовимiрних квантових систем трьох заряджених частинок |
| title_full |
Умови стабiльностi двовимiрних квантових систем трьох заряджених частинок |
| title_fullStr |
Умови стабiльностi двовимiрних квантових систем трьох заряджених частинок |
| title_full_unstemmed |
Умови стабiльностi двовимiрних квантових систем трьох заряджених частинок |
| title_sort |
умови стабiльностi двовимiрних квантових систем трьох заряджених частинок |
| title_alt |
The Conditions of Stability of Two-Dimensional Quantum Systems of Three Charged Particles |
| description |
For a two-dimensional Coulomb system of three charged particles, among which two particles are identical and the third particle is of different nature, we study the conditions of existence for symmetric and antisymmetric bound energy states (conditions of stability) in the mass–charge (m;Z) plane. High-precision three-body numerical calculations based on a stochastic variational method with Gaussian bases are performed. Several anomalous effects in the behavior of the characteristic distances between particles are revealed, and the nonzero quadrupole moment is found in a two-dimensional polar-symmetric field. The systematic comparison of the results for two- and three-dimensional systems is performed. The values of energy and size, the density distributions, and the correlation functions for the various reference three-particle systems are obtained. |
| publisher |
Publishing house "Academperiodika" |
| publishDate |
2018 |
| url |
https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018294 |
| work_keys_str_mv |
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| first_indexed |
2023-03-24T08:55:15Z |
| last_indexed |
2023-03-24T08:55:15Z |
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1795757605969199104 |