Енергетичнi терми та дiаграми стабiльностi для 2D задачi трьох заряджених частинок

• Дата: 2018
• Автори: Simenog, I. V., Mikhnyuk, V. V., Bidasyuk, Yu. M.
• Формат: Стаття
• Мова: English; Ukrainian
• Опубліковано: Publishing house "Academperiodika" 2018
• Теми: energy terms; stability diagrams; Coulomb systems; variational approach; Born–Oppenheimer approximation; space dimensionality
• Онлайн доступ: https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018469
• Назва журналу: Ukrainian Journal of Physics

Symmetric and antisymmetric terms have been obtained in the framework of the variational approach for two-dimensional (2D) Coulomb systems of symmetric trions XXY . Stability di-agrams and certain anomalies arising in the 2D space are explained qualitatively in the frame-work of the Born–Oppenheimer adiabatic approximation. The asymptotics of energy terms at large distances obtained for an arbitrary space dimensionality are analyzed, and some approxi-mation formulas for 2D terms are proposed. An anomalous dependence of multipole moments on the space dimensionality has been found in the case of a spherically symmetric field. The main results obtained for the 2D and 3D problems of two Coulomb centers are compared.