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

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

Symmetric and antisymmetric terms have been obtained in the framework of the variational&nbsp;approach for two-dimensional (2D) Coulomb systems of symmetric trions XXY&nbsp;. Stability di-agrams and certain anomalies arising in the 2D space are explained qualitatively in the frame-work of th...

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Bibliographic Details
Main Authors: Simenog, I. V., Mikhnyuk, V. V., Bidasyuk, Yu. M.
Format: Article
Language:English
Ukrainian
Published: Publishing house "Academperiodika" 2018
Subjects:
energy terms
stability diagrams
Coulomb systems
variational approach
Born–Oppenheimer approximation
space dimensionality
Online Access:https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018469
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Summary:Symmetric and antisymmetric terms have been obtained in the framework of the variational&nbsp;approach for two-dimensional (2D) Coulomb systems of symmetric trions XXY&nbsp;. 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&nbsp;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&nbsp;on the space dimensionality has been found in the case of a spherically symmetric field. The&nbsp;main results obtained for the 2D and 3D problems of two Coulomb centers are compared.

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