2005/10/13 by Christian Bracher, Tobias Kramer, J. B. Delos +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Physics #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Electric field #Electron #Geometry #Gravitational singularity #Magnetic field #Mathematics #Motion (physics) #Physics #Point (geometry) #Quantum #Quantum mechanics #Semiclassical physics #Statistical physics #quant-ph
paper · pdf · doi:10.1103/physreva.73.062114
published as Phys. Rev. A 73, 062114 (2006) · 24 pages,12 figures
arxiv created 2005/10/13 · openalex publication_date 2006/06/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We examine the spatial distribution of electrons generated by a fixed energy point source in uniform, parallel electric, and magnetic fields. This problem is simple enough to permit analytic quantum and semiclassical solution, and it harbors a rich set of features which find their interpretation in the unusual and interesting properties of the classical motion of the electrons: For instance, the number of interfering trajectories can be adjusted in this system, and the turning surfaces of classical motion contain a complex array of singularities. We perform a comprehensive analysis of the semiclassical approximation and compare it to the quantum solution, and we make predictions that should serve as a guide for future photodetachment experiments.