Надкритична нестабiльнiсть дiракiвських електронiв у полi двох протилежно заряджених ядер

The Dirac equation for an electron in a finite dipole potential has been studied within the method of linear combination of atomic orbitals (LCAO). The Coulomb potential of the nuclei that compose a dipole is regularized, by considering the finite nuclear size. It is shown that if the dipole momentu...

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Bibliographic Details
Date:2019
Main Author: Sobol, O. O.
Format: Article
Language:English
Ukrainian
Published: Publishing house "Academperiodika" 2019
Subjects:
Online Access:https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019032
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Journal Title:Ukrainian Journal of Physics

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Ukrainian Journal of Physics
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Summary:The Dirac equation for an electron in a finite dipole potential has been studied within the method of linear combination of atomic orbitals (LCAO). The Coulomb potential of the nuclei that compose a dipole is regularized, by considering the finite nuclear size. It is shown that if the dipole momentum reaches a certain critical value, the novel type of supercriticality occurs; namely, the wave function of the highest occupied electron bound state changes its localization from the negatively charged nucleus to the positively charged one. This phenomenon can be interpreted as a spontaneous creation of an electron-positron pair in vacuum, with each of the created particles being in the bound state with the corresponding nucleus and partially screening it.