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

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 cal...

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Bibliographic Details
Published inTheoretical and mathematical physics Vol. 214; no. 1; pp. 89 - 105
Main Authors Neznamov, V. P., Safronov, I. I., Shemarulin, V. E.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 2023
Springer Nature B.V
Subjects
14/34
639/766/189
639/766/530
639/766/747
Applications of Mathematics
Black holes
Mathematical and Computational Physics
Numerical integration
Particle spin
Physics
Physics and Astronomy
Theoretical
Transformations (mathematics)
Prüfer transformation and phase functions
black holes
second-order equations
stationary states
singular points and their classification
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Summary: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.
ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577923010051