Semiclassical Approach to Few-Body Problems : The Helium Atom

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We report on recent progress in the semiclassical description of two-electron atoms. We show that the classical dynamics for the helium atom is of mixed phase space structure, i. e. regular and chaotic motion coexists. Semiclassically, both types of motion require separate treatment. Stability islands are quantized via the Einstein-Brillouin-Keller torusquantization procedure, whereas a periodic-orbit cycle expansion approach accounts for the states associated with hyperbolic electron pair motion. The results are compared with highly accurate ab initio quantum calculations, some of which are reported here for the first time.
理論物理学刊行会の論文
1994-08-12