Publication:
QUANTUM MECHANICAL EQUIVALENCE OF THE METRICS OF A CENTRALLY SYMMETRIC GRAVITATIONAL FIELD

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1904.08782v1.pdf(957.53 KB)
Дата
2019
Авторы
Gorbatenko, M. V.
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
We analyze the quantum mechanical equivalence of the metrics of a centrally symmetric uncharged gravitational field. We consider the static Schwarzschild metric in spherical and isotropic coordinates, stationary Eddington-Finkelstein and Painleve-Gullstrand metrics, and nonstationary Lematre-Finkelstein and Kruskal-Szekeres metrics. When the real radial functions of the Dirac equation and of the second-order equation in the Schwarzschild field are used, the domain of wave functions is restricted to the range r > r(0), where r(0) is the radius of the event horizon. A corresponding constraint also exists in other coordinates for all considered metrics. For the considered metrics, the second-order equations admit the existence of degenerate stationary bound states of fermions with zero energy. As a result, we prove that physically meaningful results for a quantum mechanical description of a particle interaction with a gravitational field are independent of the choice of a solution for the centrally symmetric static gravitational field used.
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Gorbatenko, M. V. QUANTUM MECHANICAL EQUIVALENCE OF THE METRICS OF A CENTRALLY SYMMETRIC GRAVITATIONAL FIELD / Gorbatenko, MV, Neznamov, VP // Theoretical and Mathematical Physics(Russian Federation). - 2019. - 198. - № 3. - P. 425-454;. - 10.1134/S0040577919030073
URI
https://www.doi.org/10.1134/S0040577919030073
 https://www.scopus.com/record/display.uri?eid=2-s2.0-85065237611&origin=resultslist
 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000464907100007
 https://openrepository.mephi.ru/handle/123456789/16922
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