Semiclassical Calculation of Transition Matrix Elements for Atoms in External Fields

Details Semiclassical Calculation of Transition Matrix Elements for Atoms in External Fields Semiclassical Calculation of Transition Matrix Elements for Atoms in External Fields

1999-02-02

arxiv.org/abs/quant-ph/9902007v1

Phys.Rev. A59 (1999) 2548

Physics

Quantum Physics

4 pages, 2 figures, REVTEX, submitted to Phys. Rev. A (Rapid Communications)

Scientific paper

10.1103/PhysRevA.59.R2548

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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