https://doi.org/10.1140/epjp/i2018-12126-7
Regular Article
Two-dimensional hydrogen-like atom in a weak magnetic field
Atomic and Optical Physics Division, Department of Atomic, Molecular and Optical Physics, Faculty of Applied Physics and Mathematics, Gdańsk University of Technology, ul. Gabriela Narutowicza 11/12, 80-233, Gdańsk, Poland
* e-mail: radoslaw.szmytkowski@pg.edu.pl
Received:
7
June
2018
Accepted:
20
June
2018
Published online:
6
August
2018
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 Rayleigh-Schrödinger perturbation theory, using the Sturmian expansion of the generalized radial Coulomb Green function, we derive explicit analytical expressions for corrections to an arbitrary planar hydrogenic bound-state energy level, up to the fourth order in the strength of the perturbing magnetic field. In the case of the ground state, we correct an expression for the fourth-order correction to energy available in the literature.
© The Author(s), 2018
