33 citations · 168 across the 22 of their papers we have counts for
25 papers
Dynamical quasi-symmetry of the classical Kepler-Coulomb problem and the conservation of the Laplace-Runge-Lenz vector
Radosław Szmytkowski
The paper studies a classical non-relativistic particle moving in , , in the presence of the Kepler-Coulomb force $\boldsymbol{F}(\boldsymbol{r})=α\b…
An analogue of the Pöschl-Teller anharmonic oscillator on an -dimensional sphere
Radosław Szmytkowski
A Schrödinger particle on an -dimensional () hypersphere of radius is considered. The particle is subjected to the action of a force characterized by the potent…
Zero-range potentials for Dirac particles: Bound-state problems
Radosław Szmytkowski
A model in which a Dirac particle in is bound by spatially distributed zero-range potentials is presented. Interactions between the particle and the…
Second-order Stark effect and polarizability of a relativistic two-dimensional hydrogen-like atom in the ground state
Radosław Szmytkowski
The second-order Stark effect for a planar Dirac one-electron atom in the ground state is analyzed within the framework of the Rayleigh-Schrödinger perturbation theory, with the us…
Relativistic two-dimensional hydrogen-like atom in a weak magnetic field
Radosław Szmytkowski
A two-dimensional (2D) hydrogen-like atom with a relativistic Dirac electron, placed in a weak, static, uniform magnetic field perpendicular to the atomic plane, is considered. Clo…
Two-dimensional hydrogen-like atom in a weak magnetic field
Radosław Szmytkowski
We consider a non-relativistic two-dimensional (2D) hydrogen-like atom in a weak, static, uniform magnetic field perpendicular to the atomic plane. Within the framework of the Rayl…