The symmetric periodic orbits for the two-electron atom

Jaume Llibre; Durval José Tonon

doi:https://doi.org/10.1007/s11005-018-1056-1

The symmetric periodic orbits for the two-electron atom

Jaume Llibre, Durval José Tonon

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

Abstract

© 2018, Springer Science+Business Media B.V., part of Springer Nature. We analyse the existence of symmetric periodic orbits of the two-electron atom. The results obtained show that there exist six families of periodic orbits that can be prolonged from a continuum of periodic symmetric orbits. The main technique applied in this study is the continuation method of Poincaré.

Original language	English
Pages (from-to)	1851-1871
Journal	Letters in Mathematical Physics
Volume	108
Issue number	8
DOIs	https://doi.org/10.1007/s11005-018-1056-1
Publication status	Published - 1 Aug 2018

Keywords

Helium atom
Poincaré continuation method
Symmetric periodic orbits

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title = "The symmetric periodic orbits for the two-electron atom",

abstract = "{\textcopyright} 2018, Springer Science+Business Media B.V., part of Springer Nature. We analyse the existence of symmetric periodic orbits of the two-electron atom. The results obtained show that there exist six families of periodic orbits that can be prolonged from a continuum of periodic symmetric orbits. The main technique applied in this study is the continuation method of Poincar{\'e}.",

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author = "Jaume Llibre and Tonon, {Durval Jos{\'e}}",

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AU - Tonon, Durval José

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N2 - © 2018, Springer Science+Business Media B.V., part of Springer Nature. We analyse the existence of symmetric periodic orbits of the two-electron atom. The results obtained show that there exist six families of periodic orbits that can be prolonged from a continuum of periodic symmetric orbits. The main technique applied in this study is the continuation method of Poincaré.

AB - © 2018, Springer Science+Business Media B.V., part of Springer Nature. We analyse the existence of symmetric periodic orbits of the two-electron atom. The results obtained show that there exist six families of periodic orbits that can be prolonged from a continuum of periodic symmetric orbits. The main technique applied in this study is the continuation method of Poincaré.

KW - Helium atom

KW - Poincaré continuation method

KW - Symmetric periodic orbits

UR - https://ddd.uab.cat/record/199349

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EP - 1871

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

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The symmetric periodic orbits for the two-electron atom

Abstract

Keywords

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