Algebraic proof of a sum rule occurring in Stark broadening of hydrogen lines

Roberto Casini

doi:10.1063/1.532108

Algebraic proof of a sum rule occurring in Stark broadening of hydrogen lines

Roberto Casini

National Center for Atmospheric Research

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We present the algebraic proof of a sum rule that is relevant in the theory of Stark broadening of hydrogen and hydrogenic lines. This is accomplished by applying Gauss' recursion formulas for the hypergeometric function to the analytical expression of the dipole matrix elements involved in the summation.

Original language	English
Pages (from-to)	3435-3445
Number of pages	11
Journal	Journal of Mathematical Physics
Volume	38
Issue number	7
DOIs	https://doi.org/10.1063/1.532108
State	Published - Jul 1997
Externally published	Yes

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Algebraic proof of a sum rule occurring in Stark broadening of hydrogen lines

Abstract

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