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

Access to Document

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

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

Cite this

@article{8e22794309624244b05d27937c9abc43,

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}.",

keywords = "Helium atom, Poincar{\'e} continuation method, Symmetric periodic orbits",

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

year = "2018",

month = aug,

day = "1",

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

language = "English",

volume = "108",

pages = "1851--1871",

journal = "Letters in Mathematical Physics",

issn = "0377-9017",

number = "8",

}

TY - JOUR

T1 - The symmetric periodic orbits for the two-electron atom

AU - Llibre, Jaume

AU - Tonon, Durval José

PY - 2018/8/1

Y1 - 2018/8/1

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

U2 - https://doi.org/10.1007/s11005-018-1056-1

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

M3 - Article

VL - 108

SP - 1851

EP - 1871

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 8

ER -

The symmetric periodic orbits for the two-electron atom

Abstract

Keywords

Access to Document

Fingerprint

Cite this