Semiclassical Calculation of Transition Matrix Elements for Atoms in External Fields
Quantum Physics
2009-10-31 v1 chao-dyn
Chaotic Dynamics
Atomic Physics
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.
Cite
@article{arxiv.quant-ph/9902007,
title = {Semiclassical Calculation of Transition Matrix Elements for Atoms in External Fields},
author = {J. Main and G. Wunner},
journal= {arXiv preprint arXiv:quant-ph/9902007},
year = {2009}
}
Comments
4 pages, 2 figures, REVTEX, submitted to Phys. Rev. A (Rapid Communications)