Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2002-12-20
J. Phys. B 36, 1231 (2003)
Nonlinear Sciences
Chaotic Dynamics
Scientific paper
10.1088/0953-4075/36/6/312
Closed-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.
Bartsch Thomas
Main Joerg
Wunner Guenter
No associations
LandOfFree
The hydrogen atom in an electric field: Closed-orbit theory with bifurcating orbits does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The hydrogen atom in an electric field: Closed-orbit theory with bifurcating orbits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The hydrogen atom in an electric field: Closed-orbit theory with bifurcating orbits will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-724739