49 citations · 210 across the 31 of their papers we have counts for
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The Quantum Model of Spinning Black Holes
V. P. Neznamov, S. Yu. Sedov, V. E. Shemarulin
We propose a quantum model of spinning black holes with the integrable ring singularities. For the charged Kerr-Newman quantum metric, the complete regularization takes place at fi…
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…
Analysis of half-spin particle motion in Kerr-Newman field by means of effective potentials in second-order equations
V. P. Neznamov, V. E. Shemarulin
The self-conjugate Dirac Hamiltonian is obtained in the Kerr-Newman field. A transition is implemented to a Schrödinger-type relativistic equation. For the case where the angular a…
Motion of half-spin particles in the axially symmetric field of naked singularities of static q-metric
V. P. Neznamov, V. E. Shemarulin
Quantum-mechanical motion of a half-spin particle was examined in the axially symmetric field of static naked singularities formed by mass distribution with quadrupole moment (q-me…
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…
Some Aspects of Quantum Mechanics of Particle Motion in Static Centrally Symmetric Gravitational Fields
M. V. Gorbatenko, V. P. Neznamov, E. Yu. Popov
The domain of wave functions and effective potentials of the Dirac and Klein-Gordon equations for quantum-mechanical particles in static centrally symmetric gravitational fields ar…
Analysis of the quantum-mechanical equivalence of the metrics of a centrally symmetric uncharged gravitational field
M. V. Gorbatenko, V. P. Neznamov
In the paper we analyze the quantum-mechanical equivalence of the metrics of a centrally symmetric uncharged gravitational field. We consider the Schwarzschild metrics in the spher…
Quantum-mechanical nonequivalence of metrics of centrally symmetric uncharged gravitational field
M. V. Gorbatenko, V. P. Neznamov
Quantum-mechanical analysis shows that the metrics of a centrally symmetric uncharged gravitational field, which are exact solutions of the general relativity equations, are physic…
Stationary bound states of spin-half particles in the Kerr and Kerr-Newman gravitational fields
M. V. Gorbatenko, V. P. Neznamov
We prove the possibility of existence of stationary bound states of stationary bound states of spin-half probe particles for the Kerr and Kerr-Newman gravitational fields using Cha…
Stationary bound states of spin-half particles in the Reissner-Nordstroem gravitational field
M. V. Gorbatenko, V. P. Neznamov
We prove the possibility of existence of stationary bound states of spin-half particles in the Reissner-Nordstroem gravitational field using a self-conjugate Hamiltonian with a fla…
Absence of the non-uniqueness problem of the Dirac theory in a curved spacetime. Spin-rotation coupling is not physically relevant
M. V. Gorbatenko, V. P. Neznamov
As opposed to Arminjon statements, in this work we again assert the absence of the non-uniqueness problem of the Dirac theory in a curved and flat spacetime and illustrate this wit…
Stationary Bound States of Dirac Particles in Collapsar Fields
M. V. Gorbatenko, V. P. Neznamov
Stationary bound states of elementary spin 1/2 particles that do not decay with time are obtained for a Schwarzschild gravitational field using a self-conjugate Hamiltonian with a…
A Modified Method for Deriving Self-Conjugate Dirac Hamiltonians in Arbitrary Gravitational Fields and Its Application to Centrally and Axially Symmetric Gravitational Fields
M. V. Gorbatenko, V. P. Neznamov
We have proposed previously a method for constructing self-conjugate Hamiltonians H_eta in the eta-representation with a flat scalar product to describe the dynamics of Dirac parti…
Atoms and Forces of Interaction Between Elementary Particles in the Expanding Universe
M. V. Gorbatenko, V. P. Neznamov
The earlier developed algorithm for constructing a self-conjugate Hamiltonian in the η-representation for Dirac particles interacting with a general gravitational field is extended…
Uniqueness and Self-Conjugacy of Dirac Hamiltonians in arbitrary Gravitational Fields
M. V. Gorbatenko, V. P. Neznamov
Proofs of two statements are provided in this paper. First, the authors prove that the formalism of the pseudo-Hermitian quantum mechanics allows describing the Dirac particles mot…
Solution of the problem of uniqueness and hermiticity of hamiltonians for Dirac particles in gravitational fields
M. V. Gorbatenko, V. P. Neznamov
The authors prove that the dynamics of spin 1/2 particles in stationary gravitational fields can be described using an approach, which builds upon the formalism of pseudo-Hermitian…