33 citations · 168 across the 22 of their papers we have counts for
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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…
Solution of the momentum-space Schrödinger equation for bound states of the N-dimensional Coulomb problem (revisited)
Radosław Szmytkowski
The Schrödinger-Coulomb Sturmian problem in , , is considered in the momentum representation. An integral formula for the Gegenbauer polynomials, found…