8 citations · 13 across the 6 of their papers we have counts for
7 papers
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
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…
Something new about radial wave functions of fermions in the repulsive Coulomb field
V. P. Neznamov, I. I. Safronov, V. E. Shemarulin
An impermeable barrier at in the effective potential of the relativistic Schrödinger-type equation leads to exclusion of the range from the wave func…
Stationary solutions of second-order equations for point fermions in the Schwarzschild gravitational field
V. P. Neznamov, I. I. Safronov
When using a second-order Schrödinger-type equation with the effective potential of the Schwarzschild field, existence of a stationary state of half-spin particles with energy $E=0…
The effective method to calculate eigenvalues of Chandrasekhar-Page angular equations
V. P. Neznamov, I. I. Safronov
An effective, reliable and time saving numerical method with using of the Pruefer transformation is proposed to calculate eigenvalues of Chandrasekhar-Page angular equations.
Cosmic censorship and stationary states of half-spin particles in the field of Reissner-Nordstroem naked singularity
M. V. Gorbatenko, V. P. Neznamov, E. Yu. Popov +1
The paper explores quantum mechanics of half-spin particle motion in the field of Reissner-Nordstroem (RN) naked singularity. It is shown that for any quantum mechanical Dirac part…
A new method for solving the Z>137 problem for energy levels of hydrogen-like atoms
V. P. Neznamov, I. I. Safronov
The "catastrophe" in solving the Dirac equation for an electron in the field of a point electric charge, which emerges for the charge numbers Z > 137, is removed in this work by ef…
Stationary Bound States of Dirac Particles in the Schwarzschild Gravitational Field
M. A. Vronsky, M. V. Gorbatenko, N. S. Kolesnikov +3
Nondecaying bound states of elementary spin-half particles are validated and calculated numerically for the Schwarzschild gravitational field using a self-conjugate Hamiltonian wit…