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Semiclassical Calculation of Transition Matrix Elements for Atoms in External Fields

J. Main·G. Wunner
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Abstract

Closed orbit theory is generalized to the semiclassical calculation of cross-correlated recurrence functions for atoms in external fields. The cross-correlation functions are inverted by a high resolution spectral analyzer to obtain the semiclassical eigenenergies and transition matrix elements. The method is demonstrated for dipole transitions of the hydrogen atom in a magnetic field. This is the first semiclassical calculation of individual quantum transition strengths from closed orbit theory.

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J. Main, G. Wunner. 1999-02-02. Semiclassical Calculation of Transition Matrix Elements for Atoms in External Fields. https://doi.org/10.1103/physreva.59.r2548

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