Classical Path Methods in Line Broadening. II. Application to the Lyman Series of Hydrogen
- PMID: 31929637
- PMCID: PMC6658476
- DOI: 10.6028/jres.073A.031
Classical Path Methods in Line Broadening. II. Application to the Lyman Series of Hydrogen
Abstract
The use of the classical path approximation in line broadening theory is illustrated in a development of the familiar impact and one-electron theories. The one-electron theory which is presented is an improved version of the usual one-electron theory; this improved version of the theory provides a consistent description of a line profile from the halfwidth to the quasi-static wings. The validity criteria for the impact and one-electron theories are discussed in detail and a comparison of the theories is made with a view toward the development of a more general theory containing elements of both. To avoid unnecessary mathematical complications and to provide a more transparent comparison of the theories, the Stark broadening of the Lyman series in hydrogen is used as a specific example.
Keywords: Classical path; impact theory; line broadening theory; one electron theory.
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