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Second-order Stark effect and polarizability of a relativistic two-dimensional hydrogenlike atom in the ground state
Abstract
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 use of the Sturmian series expansion of the generalized Dirac-Coulomb Green's function. A closed-form analytical expression for the static dipole polarizability of that system is found. The formula involves the generalized hypergeometric function ${}_{3}F_{2}$ with the unit argument. Numerical values of the polarizabilities for relativistic planar hydrogenic atoms with atomic numbers $1\leq Z\leq 68$ are provided in a tabular form. A simple formula for the polarizability of a nonrelativistic two-dimensional hydrogenic atom, reported previously by several other authors, is recovered from our result in the nonrelativistic limit.
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- Accepted or Published Version
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- Copyright (2018 American Physical Society)
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
PHYSICAL REVIEW A
no. 98,
edition 4,
pages 1 - 8,
ISSN: 2469-9926 - Language:
- English
- Publication year:
- 2018
- Bibliographic description:
- Szmytkowski R.: Second-order Stark effect and polarizability of a relativistic two-dimensional hydrogenlike atom in the ground state// PHYSICAL REVIEW A. -Vol. 98, iss. 4 (2018), s.1-8
- DOI:
- Digital Object Identifier (open in new tab) 10.1103/physreva.98.042507
- Sources of funding:
-
- Statutory activity/subsidy
- Verified by:
- Gdańsk University of Technology
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