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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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- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1140/epjp/i2018-12126-7
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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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