Abstract
Applying closed-orbit theory to the recurrence spectra of atoms in magnetic fields, one can interpret most, but not all, structures semiclassically in terms of hydrogenic closed classical orbits. Here we also report semiclassical approaches to phenomena in hydrogenic and nonhydrogenic atoms which can not be explained within conventional closed orbit theory. In particular, we analyze various types of catastrophes at bifurcations of orbits and discuss the role of ghost orbits living in complex phase space. Unphysical divergences of semiclassical recurrence amplitudes near bifurcations are removed by uniform semiclassical approximations which are completely determined by classical parameters of the real orbits and complex ghosts. For nonhydrogenic atoms we investigate the scattering of trajectories at the ionic core and interpret unidentified structures in nonhydrogenic spectra in terms of families of core-scattered closed orbits.
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© 1997 Springer-Verlag
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Main, J. (1997). Semiclassical approaches to atoms in external fields. In: Friedrich, H., Eckhardt, B. (eds) Classical, Semiclassical and Quantum Dynamics in Atoms. Lecture Notes in Physics, vol 485. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105978
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DOI: https://doi.org/10.1007/BFb0105978
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