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Two-dimensional hydrogen-like atom in a weak magnetic field

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-Schr¨odinger 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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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
European Physical Journal Plus no. 133, pages 1 - 10,
ISSN: 2190-5444
Language:
English
Publication year:
2018
Bibliographic description:
Szmytkowski R.: Two-dimensional hydrogen-like atom in a weak magnetic field// European Physical Journal Plus. -Vol. 133, (2018), s.1-10
DOI:
Digital Object Identifier (open in new tab) 10.1140/epjp/i2018-12126-7
Sources of funding:
  • Statutory activity/subsidy
Verified by:
Gdańsk University of Technology

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