Dynamic multipole polarisability of hydrogen
- 28 August 1978
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 11 (16) , 2781-2791
- https://doi.org/10.1088/0022-3700/11/16/005
Abstract
A closed-form expression is derived for the dynamic multipole polarisability of hydrogen in an arbitrary S state. This expression is analytic around omega =0 and can thus be used to generate the negative-order multipole sum rules in hydrogenic atoms. The residues and discontinuities across the branch cut in this expression lead to closed-form expressions for the multipole transition matrix elements in hydrogenic atoms.Keywords
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