T Bartsch et al 2003 J. Phys. B: At. Mol. Opt. Phys. 36 1231 doi:10.1088/0953-4075/36/6/312
T Bartsch, J Main and G Wunner
Show affiliationsClosed-orbit theory provides a general approach to the semiclassical description of photo-absorption spectra of arbitrary atoms in external fields, the simplest of which is the hydrogen atom in an electric field. Yet, despite its apparent simplicity, a semiclassical quantization of this system by means of closed-orbit theory has not been achieved so far. It is the aim of this paper to close that gap. We first present a detailed analytic study of the closed classical orbits and their bifurcations. We then derive a simple form of the uniform semiclassical approximation for the bifurcations that is suitable for an inclusion into a closed-orbit summation. By means of a generalized version of the semiclassical quantization by harmonic inversion, we succeed in calculating high-quality semiclassical spectra for the hydrogen atom in an electric field.
Issue 6 (28 March 2003)
Received 20 December 2002
Published 4 March 2003
T Bartsch et al 2003 J. Phys. B: At. Mol. Opt. Phys. 36 1231
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