2004/06/30 by Benoît Grémaud · 1 citation
Physics and Astronomy · #Laser-Matter Interactions and Applications #Physics #Quantum #Quantum chaos and dynamical systems #Quantum mechanics #Semiclassical physics #Spectral line #Spectroscopy and Quantum Chemical Studies #nlin.CD
paper · pdf · doi:10.1103/physreve.72.046208
published in Physical Review E 72(4), 046208 (American Physical Society) · 4 pages, 1 figure, final version
openalex publication_date 2005/10/13 · arxiv created 2005/10/25 · arxiv updated 2016/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.