2008年11月
Periodic orbits and binary collisions in the classical three-body Coulomb problem
PHYSICS LETTERS A
- ,
- 巻
- 372
- 号
- 46
- 開始ページ
- 6899
- 終了ページ
- 6903
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.physleta.2008.06.094
- 出版者・発行元
- ELSEVIER SCIENCE BV
in the helium case of the classical three-body Coulomb problem in two dimensions with zero angular momentum, we develop a procedure to find periodic orbits applying two symbolic dynamics for one-dimensional and planar problems. Focusing our attention on binary collisions with these tools, a sequence of periodic orbits are predicted and are actually found numerically. A family of periodic orbits found has regularity in their actions. For this family of periodic orbits, it is shown that thanks to its regularity, a partial summation of the Gutzwiller trace formula with a daring approximation gives a Rydberg series of energy levels. (C) 2008 Elsevier B.V. All rights reserved.
- リンク情報
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- DOI
- https://doi.org/10.1016/j.physleta.2008.06.094
- J-GLOBAL
- https://jglobal.jst.go.jp/detail?JGLOBAL_ID=200902296702449900
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000261757700017&DestApp=WOS_CPL
- ID情報
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- DOI : 10.1016/j.physleta.2008.06.094
- ISSN : 0375-9601
- J-Global ID : 200902296702449900
- Web of Science ID : WOS:000261757700017