Relativistic semiclassical atomic transition rates

Details Relativistic semiclassical atomic transition rates Relativistic semiclassical atomic transition rates

Feb 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994jqsrt..51..237m&link_type=abstract

Journal of Quantitative Spectroscopy & Radiative Transfer (ISSN 0022-4073), vol. 51, no. 1-2, p. 237-246

Physics

2

Atomic Structure, Conservation Equations, Dirac Equation, Electron Transitions, Energy Levels, Plasmas (Physics), Relativistic Effects, Wentzel-Kramer-Brillouin Method, Predictions, Rates (Per Time), Wave Functions

Scientific paper

This paper gives a new semiclassical (WKB) solution of the one-electron Dirac equation for electrons in a spherically symmetric atomic potential. The two-component wave-function has several favorable formal properties: it exactly satisfies a relativistic probability conservation equation and exactly reduces to the nonrelativistic semiclassical solution in every detail (including the Langer modification). The solution gives satisfactory predictions of energy-levels, orbit radii and radiative line-strengths.

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