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

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Abstract

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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Authors and Affiliations

  1. Laboratory for Astrophysics and Solar Physics, NASA-Goddard Space Flight Center, Greenbelt, Maryland, U.S.A.

    Sidney O. Kastner

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  1. Sidney O. Kastner
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Kastner, S.O. Evaluation of Jefferies' level population ratios, and generalization of Seaton's cascade matrix, by a Markov-chain method. Astrophys Space Sci 68, 245–251 (1980). https://doi.org/10.1007/BF00641659

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  • DOI: https://doi.org/10.1007/BF00641659

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