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

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.

23 pages, 2 tables, 9 figures

References in corpus (6)

• Quantum mechanics of stationary states of particles in a space-time of classical black holes
• Stationary solutions of the second-order equation for fermions in Kerr-Newman space-time
• Second-order stationary solutions for fermions in an external Coulomb field
• Quantum electrodynamics with self-conjugated equations with spinor wave functions for fermion fields
• The lack of vacuum polarization in quantum electrodynamics with spinors in fermion equations
• Something new about radial wave functions of fermions in the repulsive Coulomb field