Publication:
Second-Order Stationary Solutions for Fermions in an External Coulomb Field

Дата
2019
Авторы
Safronov, I. I.
Neznamov, V. P.
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Научные группы
Организационные подразделения
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Институт лазерных и плазменных технологий
Стратегическая цель Института ЛаПлаз – стать ведущей научной школой и ядром развития инноваций по лазерным, плазменным, радиационным и ускорительным технологиям, с уникальными образовательными программами, востребованными на российском и мировом рынке образовательных услуг.
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Аннотация
© 2019, Pleiades Publishing, Inc.Abstract: We have studied self-conjugate second-order equations with spinor wavefunctions for fermions moving in an external Coulomb field. For stationary states, the equations are characterized by separated states with positive and negative energies, which render probabilistic interpretation possible. For the Coulomb field of attraction, the energy spectrum of the second-order equation coincides with the spectrum of the Dirac equation, while the probability densities of states are slightly different. For a Coulomb field of repulsion, there exists an impermeable potential barrier with radius depending on the classical electron radius and on the electron energy. The existence of the impermeable barrier does not contradict the results of experiment for determining the inner electron structure and does not affect (in the lowest order of perturbation theory) the Coulomb electron scattering cross section. The existence of the impermeable barrier can lead to positron confinement in supercritical nuclei with Z ≥ 170 in case of realization of spontaneous emission of vacuum electron–positron pairs.
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Safronov, I. I. Second-Order Stationary Solutions for Fermions in an External Coulomb Field / Safronov, I.I., Neznamov, V.P. // Journal of Experimental and Theoretical Physics. - 2019. - 128. - № 5. - P. 672-683. - 10.1134/S1063776119050145
URI
https://www.doi.org/10.1134/S1063776119050145
 https://www.scopus.com/record/display.uri?eid=2-s2.0-85067701744&origin=resultslist
 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000472521200003
 https://openrepository.mephi.ru/handle/123456789/18296
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