Richter, Klaus and Tanner, G and Wintgen, D (1995) The semiclassical helium atom. In: UNSPECIFIED Cambridge Univ. Press, Cambridge, pp. 287-300.
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Other URL: http://dx.doi.org/10.2277/052143291X
Recent progress in the semiclassical description of two-electron atoms is reported herein. It is shown 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 a torusquantization-type 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, most of which are reported here for the first time. The results are discussed with an emphasis on previous interpretations of doubly excited electron states Chaos: An Interdisciplinary Journal of Nonlinear Science is copyrighted by The American Institute of Physics.
|Item Type:||Book Section|
|Institutions:|| Physics > Institute of Theroretical Physics > Retired Professors > Group Gianaurelio Cuniberti|
Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
|Subjects:||500 Science > 530 Physics|
|Refereed:||Yes, this version has been refereed|
|Created at the University of Regensburg:||Yes|
|Deposited On:||25 May 2009 13:19|
|Last Modified:||17 Nov 2009 04:13|