Wintgen, Dieter and Richter, Klaus (1994) Semiclassical nature of planetary atom states. Comments on atomic and molecular physics 29, pp. 261-273.
The semiclassical quantization of classically stable planetary atom configurations (the so called frozen planet configurations) is discussed in some detail. The existence of (approximate) integrals of motion allows for a torus quantization procedure, the semiclassical limit of which is the Gutzwiller periodic orbit formula reduced to fundamental orbits only. We show that the multi-dimensional torus quantization yields accurate semiclassical energies for the planetary atom states. We compare our results with those obtained by a multipole model of the electron- electron interaction which has been proposed as a more transparent model for describing the frozen planet configurations. We give evidence that this model fails in predicting the energies for large quantum numbers.
|Institutions:||Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter|
|Keywords:||planetary atoms, semiclassical quantization, multipole expansions|
|Subjects:||500 Science > 530 Physics|
|Refereed:||Yes, this version has been refereed|
|Created at the University of Regensburg:||No|
|Deposited On:||20 Mar 2007|
|Last Modified:||20 Jul 2011 20:57|