Abstract.
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.
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Szmytkowski, R. Two-dimensional hydrogen-like atom in a weak magnetic field. Eur. Phys. J. Plus 133, 311 (2018). https://doi.org/10.1140/epjp/i2018-12126-7
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DOI: https://doi.org/10.1140/epjp/i2018-12126-7