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Magnetizability of the relativistic hydrogenlike atom in an arbitrary discrete energy eigenstate: 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 (1997) 825; erratum 30 (1997) 2747] is exploited to derive a closed-form expression for the magnetizability of an arbitrary discrete state of the relativistic one-electron atom with a point-like, spinless and motionless nucleus of charge $Ze$. The result has the form of a double finite sum involving the generalized hypergeometric functions ${}_3F_2$ of the unit argument. Our general expression agrees with formulas obtained analytically earlier by other authors for some particular states of the atom. We present also numerical values of the magnetizability for some excited states of selected hydrogenlike ions with $1{\leqslant}Z{\leqslant}137$, which confirm the correctness of our analytical result.
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- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1103/PhysRevA.92.032504
- License
- Copyright (2015 American Physical Society)
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
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PHYSICAL REVIEW A
no. 92,
edition 3,
pages 1 - 12,
ISSN: 2469-9926 - Language:
- English
- Publication year:
- 2015
- Bibliographic description:
- Stefańska P.: Magnetizability of the relativistic hydrogenlike atom in an arbitrary discrete energy eigenstate: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function// PHYSICAL REVIEW A. -Vol. 92, iss. 3 (2015), s.1-12
- DOI:
- Digital Object Identifier (open in new tab) 10.1103/physreva.92.032504
- Verified by:
- Gdańsk University of Technology
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