arXiv subjects
Publications and source records attributed to M. M. Stetsko.
Thermal radiation of electrically charged fermions from rotating black hole with electric and magnetic charges in de Sitter space is considered. The tunnelling probabilities for outgoing and incoming particles are obtained and the Hawking temperature is calculated. The relation for the classical action for the particles in the black hole's background is also found.
We investigate a microscopic black hole in case of modified generalized uncertainty principle with a minimal uncertainty in position as well as in momentum. We calculate thermodynamical functions of a Schwarzschild black hole such as temperature, entropy and heat capacity. It is shown that incorporation of minimal uncertainty in momentum leads to minimal temperature of a black hole similarly as we have for Schwarzschschild-AdS black hole without minimal uncertainty. Minimal temperature gives rise to Hawking-Page phase transition. Emission rate equation and black hole lifetime are also obtained.
We consider the elastic scattering in deformed space with minimal length. We give the basic relation for the elastic scattering in deformed space. We also investigate the partial wave method in deformed space. It is shown that the relations for the scattering amplitude and cross-section formally coincides with ordinary ones.
We investigated the orbital magnetic moment of electron in the hydrogen atom in deformed space with minimal length. It turned out that corrections to the magnetic moment caused by deformation depend on one parameter in the presence of two-parametric deformation. It is interesting to note that the correction to orbital magnetic moment is similar to the correction that follows from relativistic theory but it has an opposite sign. Using the upper bound for minimal length obtained in previous papers we estimated the upper bound for relative correction to orbital magnetic moment and obtained the value $\sim 10^{-12}$. This is four power less than the relative error for most recent experimental values of Bohr magneton.
We investigated the hydrogen atom problem with deformed Heisenberg algebra leading to the existence of minimal length. Using modified perturbation theory developed in our previous work [M. M. Stetsko and V. M. Tkachuk, Phys. Rev. A 74, 012101 (2006)] we calculated the corrections to the arbitrary s-levels for hydrogen atom. We received a simple relation for the estimation of minimal length. We also compared the estimation of minimal length obtained here with the results obtained in the preceding investigations.
We investigated the elastic scattering problem with deformed Heisenberg algebra leading to the existence of a minimal length. The continuity equations for the moving particle in deformed space were constructed. We obtained the Green's function for a free particle, scattering amplitude and cross-section in deformed space. We also calculated the scattering amplitudes and differential cross-sections for the Yukawa and the Coulomb potentials in the Born approximation.
We study energy spectrum for hydrogen atom with deformed Heisenberg algebra leading to minimal length. We develop correct perturbation theory free of divergences. It gives a possibility to calculate analytically in the 3D case the corrections to $s$-levels of hydrogen atom caused by the minimal length. Comparing our result with experimental data from precision hydrogen spectroscopy an upper bound for the minimal length is obtained.