Evaluation of Jefferies' level population ratios, and generalization of Seaton's cascade matrix, by a Markov-chain method

Details Evaluation of Jefferies' level population ratios, and generalization of Seaton's cascade matrix, by a Markov-chain method Evaluation of Jefferies' level population ratios, and generalization of Seaton's cascade matrix, by a Markov-chain method

Mar 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980ap%26ss..68..245k&link_type=abstract

Astrophysics and Space Science, Volume 68, Issue 1, pp.245-251

Astronomy and Astrophysics

Astrophysics

3

Scientific paper

Closed expressions are obtained for the conditional probabilitiesq ij,k required in evaluating particular ratios of atomic level populations, using a Markov-chain representation of the system of levels. The total transition probability between two arbitrary levels is also evaluated and its relation to population ratios is clarified. It is shown that Seaton's cascade matrix is a subset of the total transition probability matrix.

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