Static magnetic multipole susceptibilities of the relativistic hydrogenlike atom in the ground state: Application of the Sturmian expansion of the generalized DiracCoulomb Green function
Abstract
We study far and nearfield magnetic and electric multipole moments induced in the ground state of the Dirac oneelectron atom placed in a weak 2Lpole magnetostatic field. The analysis is carried out within the framework of the firstorder RayleighSchrödinger perturbation theory, with the use of the Sturmian expansion of the generalized DiracCoulomb Green function [Szmytkowski, J. Phys. B 30, 825 (1997);J. Phys. B 30, 2747(E) (1997)]. Closedform analytical expressions for multipole magnetizabilities χL, magnetic nuclear shielding constants σML→ML, the farfield magnetictoelectric crosssusceptibilities χML→E(L∓1), and the nearfield counterparts σML→E(L∓1) of the latter are derived. The formulas obtained for χL and σML→ML are much simpler than those available in the literature. We establish the relationship χML→E(L∓1)=αE(L∓1)→ML, where αE(L∓1)→ML are the multipole farfield electrictomagnetic susceptibilities discussed in our previous paper [Szmytkowski and Łukasik, Phys. Rev. A 93, 062502 (2016)]. It is also found that when the atom is placed in superimposed weak and static electric and magnetic fields of respective multipolarities 2L1 and 2L2, such that L1=L2∓1, then the secondorder correction to the groundstate energy contains an additional term entangling both fields and involving the crosssusceptibility αEL1→ML2=χML2→EL1.
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 Category:
 Magazine publication
 Type:
 artykuł w czasopiśmie wyróżnionym w JCR
 Published in:

PHYSICAL REVIEW A
no. 98,
edition 2,
pages 1  22,
ISSN: 24699926  Language:
 English
 Publication year:
 2018
 Bibliographic description:
 Szmytkowski R., Łukasik G.: Static magnetic multipole susceptibilities of the relativistic hydrogenlike atom in the ground state: Application of the Sturmian expansion of the generalized DiracCoulomb Green function// PHYSICAL REVIEW A. Vol. 98, iss. 2 (2018), s.122
 DOI:
 Digital Object Identifier (open in new tab) 10.1103/physreva.98.022502
 Sources of funding:

 Działalność statusowa
 Verification:
 Gdańsk University of Technology
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