Relativistic effects in the dynamics of a particle in a Coulomb field

Rafael Ortega Ríos; David Rojas

doi:10.1016/j.physd.2025.134534

Relativistic effects in the dynamics of a particle in a Coulomb field

Rafael Ortega Ríos, David Rojas^*

^*Autor corresponent d’aquest treball

Departament de Matemàtiques

Universidad de Granada (UGR)

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1 Citació (Scopus)

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We prove that Bertrand's property cannot occur in a special-relativistic scenario using the properties of the period function of planar centers. We also explore some integrability properties of the relativistic Coulomb problem and the asymptotic behavior of collision solutions.

Idioma original	Anglès
Número d’article	134534
Nombre de pàgines	9
Revista	Physica D: Nonlinear Phenomena
Volum	472
DOIs	https://doi.org/10.1016/j.physd.2025.134534
Estat de la publicació	Publicada - de febr. 2025

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10.1016/j.physd.2025.134534

https://ddd.uab.cat/record/310192

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@article{cc45f6106b3240a79fa8ae7ca7bfbae3,

title = "Relativistic effects in the dynamics of a particle in a Coulomb field",

abstract = "We prove that Bertrand's property cannot occur in a special-relativistic scenario using the properties of the period function of planar centers. We also explore some integrability properties of the relativistic Coulomb problem and the asymptotic behavior of collision solutions.",

keywords = "Bertrand's property, Coulomb's law, Relativistic oscillator, Strong integrability",

author = "\{Ortega R{\'i}os\}, Rafael and David Rojas",

note = "Publisher Copyright: {\textcopyright} 2025 Elsevier B.V.",

year = "2025",

month = feb,

doi = "10.1016/j.physd.2025.134534",

language = "English",

volume = "472",

journal = "Physica D: Nonlinear Phenomena",

issn = "0167-2789",

publisher = "Elsevier",

}

TY - JOUR

T1 - Relativistic effects in the dynamics of a particle in a Coulomb field

AU - Ortega Ríos, Rafael

AU - Rojas, David

PY - 2025/2

Y1 - 2025/2

N2 - We prove that Bertrand's property cannot occur in a special-relativistic scenario using the properties of the period function of planar centers. We also explore some integrability properties of the relativistic Coulomb problem and the asymptotic behavior of collision solutions.

AB - We prove that Bertrand's property cannot occur in a special-relativistic scenario using the properties of the period function of planar centers. We also explore some integrability properties of the relativistic Coulomb problem and the asymptotic behavior of collision solutions.

KW - Bertrand's property

KW - Coulomb's law

KW - Relativistic oscillator

KW - Strong integrability

UR - https://www.scopus.com/pages/publications/85215413227

UR - https://www.mendeley.com/catalogue/88eecf71-a337-34c9-89ba-047a776f5391/

U2 - 10.1016/j.physd.2025.134534

DO - 10.1016/j.physd.2025.134534

M3 - Article

AN - SCOPUS:85215413227

SN - 0167-2789

VL - 472

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

M1 - 134534

ER -

Relativistic effects in the dynamics of a particle in a Coulomb field

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