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Title: Stark-induced magnetic anapole moment in the ground state of the relativistic hydrogenlike atom: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function

Abstract

The Sturmian expansion of the generalized Dirac-Coulomb Green function [R. Szmytkowski, J. Phys. B 30, 825 (1997); R. Szmytkowski,30, 2747(E) (1997)] is used to derive an analytical formula for the static magnetic anapole (toroidal dipole) moment induced in the ground state of the relativistic hydrogenlike atom by a weak, spatially uniform, static electric field. An expression for the anapole polarizability for the system in question is found. This expression contains a single generalized hypergeometric series {sub 3}F{sub 2} with the unit argument. In the nonrelativistic limit our result agrees with that of Lewis and Blinder [Phys. Rev. A 52, 4439 (1995)].

Authors:
;  [1]
  1. Atomic Physics Division, Department of Atomic Physics and Luminescence, Faculty of Applied Physics and Mathematics, Gdansk University of Technology, Narutowicza 11/12, PL 80-952 Gdansk (Poland)
Publication Date:
OSTI Identifier:
20974572
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.73.022511; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ATOMS; CORRECTIONS; DIPOLE MOMENTS; ELECTRIC FIELDS; EXPANSION; GREEN FUNCTION; GROUND STATES; MAGNETIC MOMENTS; POLARIZABILITY; RELATIVISTIC RANGE

Citation Formats

Mielewczyk, Krzysztof, and Szmytkowski, Radoslaw. Stark-induced magnetic anapole moment in the ground state of the relativistic hydrogenlike atom: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.022511.
Mielewczyk, Krzysztof, & Szmytkowski, Radoslaw. Stark-induced magnetic anapole moment in the ground state of the relativistic hydrogenlike atom: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function. United States. doi:10.1103/PHYSREVA.73.022511.
Mielewczyk, Krzysztof, and Szmytkowski, Radoslaw. Wed . "Stark-induced magnetic anapole moment in the ground state of the relativistic hydrogenlike atom: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function". United States. doi:10.1103/PHYSREVA.73.022511.
@article{osti_20974572,
title = {Stark-induced magnetic anapole moment in the ground state of the relativistic hydrogenlike atom: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function},
author = {Mielewczyk, Krzysztof and Szmytkowski, Radoslaw},
abstractNote = {The Sturmian expansion of the generalized Dirac-Coulomb Green function [R. Szmytkowski, J. Phys. B 30, 825 (1997); R. Szmytkowski,30, 2747(E) (1997)] is used to derive an analytical formula for the static magnetic anapole (toroidal dipole) moment induced in the ground state of the relativistic hydrogenlike atom by a weak, spatially uniform, static electric field. An expression for the anapole polarizability for the system in question is found. This expression contains a single generalized hypergeometric series {sub 3}F{sub 2} with the unit argument. In the nonrelativistic limit our result agrees with that of Lewis and Blinder [Phys. Rev. A 52, 4439 (1995)].},
doi = {10.1103/PHYSREVA.73.022511},
journal = {Physical Review. A},
number = 2,
volume = 73,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2006},
month = {Wed Feb 15 00:00:00 EST 2006}
}