English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

We present a Gordon decomposition of the magnetizability of a Diracone-electron atom in an arbitrary discrete energy eigenstate, with a pointlike,spinless, and motionless nucleus of charge $Ze$. The external magnetic field,by which the atomic state is perturbed, is assumed to be weak, static, anduniform. Using the Sturmian expansion of the generalized Dirac--Coulomb Greenfunction proposed by Szmytkowski in 1997, we derive a closed-form expressionsfor the diamagnetic ($\chi_{d}$) and paramagnetic ($\chi_{p}$) contributions to$\chi$. Our calculations are purely analytical; the received formula for$\chi_{p}$ contains the generalized hypergeometric functions ${}_3F_2$ of theunit argument, while $\chi_{d}$ is of an elementary form. For the atomic groundstate, both results reduce to the formulas obtained earlier by other author.This work is a prequel to our recent article, where the numerical values of$\chi_{d}$ and $\chi_{p}$ for some excited states of selected hydrogenlike ionswith $1 \leqslant Z \leqslant 137$ were obtained with the use of the generalformulas derived here.

Gordon decomposition of the magnetizability of a Dirac one-electron atom in an arbitrary discrete energy state