Tomaž Fabčič et al 2005 J. Phys. B: At. Mol. Opt. Phys. 38 S219 doi:10.1088/0953-4075/38/2/017
Tomaž Fabčič1, Jörg Main1, Thomas Bartsch2 and Günter Wunner1
Show affiliationsWith increasing energy the diamagnetic hydrogen atom undergoes a transition from regular to chaotic classical dynamics, and the closed orbits pass through various cascades of bifurcations. Closed orbit theory allows for the semiclassical calculation of photoabsorption spectra of the diamagnetic hydrogen atom. However, at the bifurcations the closed orbit contributions diverge. The singularities can be removed with the help of uniform semiclassical approximations which are constructed over a wide energy range for different types of codimension one and two catastrophes. Using the uniform approximations and applying the high-resolution harmonic inversion method we calculate fully resolved semiclassical photoabsorption spectra, i.e., individual eigenenergies and transition matrix elements at laboratory magnetic field strengths, and compare them with the results of exact quantum calculations.
32.80.-t Photoionization and excitation
05.45.-a Nonlinear dynamics and nonlinear dynamical systems
32.70.Cs Oscillator strengths, lifetimes, transition moments
Issue 2 (28 January 2005)
Received 13 July 2004
Published 5 January 2005
Tomaž Fabčič et al 2005 J. Phys. B: At. Mol. Opt. Phys. 38 S219
Guoya Dong et al 2004 Physiol. Meas. 25 209
T S Ibrahim et al 2001 Phys. Med. Biol. 46 609
Sung-Jin Cho et al 2006 Nanotechnology 17 640
B Willke et al 2002 Class. Quantum Grav. 19 1377
A N F Aleixo et al 2001 J. Phys. A: Math. Gen. 34 1109
K Tennakone and W G D Dharmaratna 1983 J. Phys. D: Appl. Phys. 16 855
B. Cichocki et al 2004 Europhys. Lett. 67 383
G Date 2003 Class. Quantum Grav. 20 303
G J Ackland et al 1997 J. Phys.: Condens. Matter 9 7861