Semi-classical analysis of real atomic spectra beyond Gutzwiller's approximation

Details Semi-classical analysis of real atomic spectra beyond Gutzwiller's approximation Semi-classical analysis of real atomic spectra beyond Gutzwiller's approximation

2004-06-24

arxiv.org/abs/nlin/0406055v2

Phys. Rev. E 72, 046208 (2005)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 1 figure, final version

Scientific paper

10.1103/PhysRevE.72.046208

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 letter, we explain how these properties must be taken into account in order to obtain the proper (i.e. symmetry projected) $\hbar$ 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.

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