Semiclassical analysis of real atomic spectra beyond Gutzwiller's approximation.
Real atomic systems, like the hydrogen atom in a magnetic field or the helium atom, whose classical dynamics are chaotic, generally present both discrete and continuous symmetries. In this paper, we explain how these properties must be taken into account in order to obtain the proper (i.e., symmetry projected) h expansion of semiclassical expressions like the Gutzwiller trace formula. In the case of the hydrogen atom in a magnetic field, we shed light on the excellent agreement between present theory and exact quantum results.
Grémaud
Benoît
B
Laboratoire Kastler Brossel, Université Pierre et Marie Curie, Case 74, 4, place Jussieu, 75252 Paris Cedex 05, France. Benoit.Gremaud@spectro.jussieu.fr