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Prog. Theor. Phys. Vol. 100 No. 6 (1998) pp. 1089-1105

[ Full Text PDF : FREE ACCESS (844K) ]

Exploring a Classical Model of the Helium Atom

Tomoyuki Yamamoto1,*) and Kunihiko Kaneko2

1Bioinformatica, Utrecht University, Padualaan 8, 3584 CH Utrecht
The Netherlands
and
Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan
2Department of Pure and Applied Sciences, University of Tokyo
Tokyo 153-0041, Japan

(Received February 27, 1998)

Abstract:

Classical model of helium atom is numerically studied. The phase space is investigated with several types of configurations. While most of orbits cause autoionization via chaotic transients, three types of tori are found. One type of torus is quantized semiclassically with the EBK scheme. Chaotic motion due to the strong interactions between electrons is always unbounded and leads to autoionization. Complex structure of phase space with tori and unstable autoionizing orbits is studied.


URL : http://ptp.ipap.jp/link?PTP/100/1089/
DOI : 10.1143/PTP.100.1089


*)E-mail: ty@math.sci.hokudai.ac.jp

[ Full Text PDF : FREE ACCESS (844K) ] Citation:

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