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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 214, Number 1, Pages 102–121
DOI: https://doi.org/10.4213/tmf10301 (Mi tmf10301) 		 
Prüfer transformation and its application to the numerical description of the motion of quantum particles with various spins in the fields of classical black holes

V. P. Neznamov, I. I. Safronov, V. E. Shemarulin

The Russian Federal Nuclear Center, All-Russian Scientific Research Institute of Experimental Physics, Sarov, Russia
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DOI: https://doi.org/10.4213/tmf10301
Abstract: Stable and reliable numerical integration of second-order radial equations in the fields of classical black holes can be performed by using the Prüfer transformation and by passing to the use of phase functions, which allows uniquely selecting the solutions with physical asymptotics in numerical calculations.
Keywords: stationary states, black holes, second-order equations, Prüfer transformation and phase functions, singular points and their classification.
Received: 15.04.2022
Revised: 27.06.2022
English version:
Theoretical and Mathematical Physics, 2023, Volume 214, Issue 1, Pages 89–105
DOI: https://doi.org/10.1134/S0040577923010051
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. P. Neznamov, I. I. Safronov, V. E. Shemarulin, “Prüfer transformation and its application to the numerical description of the motion of quantum particles with various spins in the fields of classical black holes”, TMF, 214:1 (2023), 102–121; Theoret. and Math. Phys., 214:1 (2023), 89–105
Citation in format AMSBIB
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\crossref{https://doi.org/10.1134/S0040577923010051}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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