# Second-order Stark effect and polarizability of a relativistic two-dimensional hydrogenlike atom in the ground state - Publication - MOST Wiedzy

## 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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### Details

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:
• Działalność statusowa
Verified by:
Gdańsk University of Technology

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