Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Safronov, I. I."'
Publikováno v:
Theoret. and Math. Phys. 214 (2023) 89-105
Stable and reliable numerical integration of second-order radial equations in the fields of classical black holes can be performed by using the Pr\"ufer transformation and by passing to the use of phase functions, which allows uniquely selecting the
Externí odkaz:
http://arxiv.org/abs/2303.04078
Publikováno v:
Phys. Part. Nucl. 53 (2022) 1126-1137
An impermeable barrier at $r=r_{cl}$ in the effective potential of the relativistic Schr\"odinger-type equation leads to exclusion of the range $0 \leq r < r_{cl}$ from the wave function domain. Based on duality of the Schr\"odinger-type equation and
Externí odkaz:
http://arxiv.org/abs/2301.06924
Autor:
Neznamov, V. P., Safronov, I. I.
Publikováno v:
J. Exp. Theor. Phys. (2019) 128:672
We have studied self-conjugate second-order equations with spinor wavefunctions for fermions moving in an external Coulomb field. For stationary states, the equations are characterized by separated states with positive and negative energies, which re
Externí odkaz:
http://arxiv.org/abs/1907.03579
Publikováno v:
J. Exp. Theor. Phys. (2019) 128:64
When using the quantum mechanical second-order equation with the effective potential of the Kerr-Newman (KN) field for fermions, results were obtained that qualitatively differ from results obtained when using the Dirac equation. In presence of two e
Externí odkaz:
http://arxiv.org/abs/1904.05791
Publikováno v:
JETP Vol. 154 (4) 802 - 825 (2018); English transl. JETP Vol. 127 (4) 684 - 704 (2018)
Existence of degenerate stationary bound states with square integrable radial wave functions was proved when second-order equations are used with the effective potential of the Reissner-Nordstr\"{o}m (RN) field with two event horizons for charged and
Externí odkaz:
http://arxiv.org/abs/1810.01960
Autor:
Neznamov, V. P., Safronov, I. I.
Publikováno v:
JETP Vol. 154 (4) 761-773 (2018); English transl. JETP Vol.127 (4) 647-658 (2018)
When using a second-order Schr\"odinger-type equation with the effective potential of the Schwarzschild field, existence of a stationary state of half-spin particles with energy $E=0$ is proved. For each of the values of quantum numbers $j,l$, the ph
Externí odkaz:
http://arxiv.org/abs/1809.08940
Publikováno v:
Phys.Part.Nucl. 49 No 4 (2018) 520-524
After transition from the Dirac equation to the Schr\"{o}dinger-type relativistic equation with effective potentials of the Schwarzschild and Reissner-Nordstr\"{o}m (RN) fields, the existence of the stationary state of fermions with real square-integ
Externí odkaz:
http://arxiv.org/abs/1808.07052
Autor:
Neznamov, V. P.1 (AUTHOR) vpneznamov@vniief.ru, Safronov, I. I.1 (AUTHOR) IISafronov@vniief.ru, Shemarulin, V. E.1 (AUTHOR) VEShemarulin@vniief.ru
Publikováno v:
Doklady Physics. Jul2023, Vol. 68 Issue 7, p209-213. 5p.
Autor:
Neznamov, V. P., Safronov, I. I.
Publikováno v:
International Journal of Modern Physica D Vol. 25, No. 10 (2016) 1650091
An effective, reliable and time saving numerical method with using of the Pruefer transformation is proposed to calculate eigenvalues of Chandrasekhar-Page angular equations.
Comment: 10 pages, 2 figures, accepted for publication in Internationa
Comment: 10 pages, 2 figures, accepted for publication in Internationa
Externí odkaz:
http://arxiv.org/abs/1605.07450
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 particle, irrespective of availability and sign of its electrical charge,
Externí odkaz:
http://arxiv.org/abs/1511.05482