Dynamics of dipole in a stationary non-homogeneous electromagnetic field

Abstract The non-relativistic equations of motion for a dipole in a stationary non-homogeneous electromagnetic field are derived and analysed. It is shown that they are Hamiltonian with respect to a certain degenerated Poisson structure. Described by them dynamics is complex because the motion of th...

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Autores principales:	Maria Przybylska, Andrzej J. Maciejewski
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/7f2b4175d5fa49778c245eb5c6c7e9cb
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spelling	oai:doaj.org-article:7f2b4175d5fa49778c245eb5c6c7e9cb2021-12-02T14:58:46ZDynamics of dipole in a stationary non-homogeneous electromagnetic field10.1038/s41598-021-96913-42045-2322https://doaj.org/article/7f2b4175d5fa49778c245eb5c6c7e9cb2021-09-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-96913-4https://doaj.org/toc/2045-2322Abstract The non-relativistic equations of motion for a dipole in a stationary non-homogeneous electromagnetic field are derived and analysed. It is shown that they are Hamiltonian with respect to a certain degenerated Poisson structure. Described by them dynamics is complex because the motion of the centre of mass of the dipole is coupled with its rotational motion. The problem of the existence of linear in momenta first integrals which can be useful for the separation of rotational motion is discussed. The presence of such first integral appears to be related with a linear symmetry of electric and magnetic fields. Also results of search of quadratic in momenta first integrals for uniform and stationary electromagnetic fields are reported. Deriving equations of motion of a dipole in arbitrary stationary electromagnetic fields and analysis of described by them dynamics is important for the construction of electromagnetic traps for polar particles.Maria PrzybylskaAndrzej J. MaciejewskiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-20 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Maria Przybylska Andrzej J. Maciejewski Dynamics of dipole in a stationary non-homogeneous electromagnetic field
description	Abstract The non-relativistic equations of motion for a dipole in a stationary non-homogeneous electromagnetic field are derived and analysed. It is shown that they are Hamiltonian with respect to a certain degenerated Poisson structure. Described by them dynamics is complex because the motion of the centre of mass of the dipole is coupled with its rotational motion. The problem of the existence of linear in momenta first integrals which can be useful for the separation of rotational motion is discussed. The presence of such first integral appears to be related with a linear symmetry of electric and magnetic fields. Also results of search of quadratic in momenta first integrals for uniform and stationary electromagnetic fields are reported. Deriving equations of motion of a dipole in arbitrary stationary electromagnetic fields and analysis of described by them dynamics is important for the construction of electromagnetic traps for polar particles.
format	article
author	Maria Przybylska Andrzej J. Maciejewski
author_facet	Maria Przybylska Andrzej J. Maciejewski
author_sort	Maria Przybylska
title	Dynamics of dipole in a stationary non-homogeneous electromagnetic field
title_short	Dynamics of dipole in a stationary non-homogeneous electromagnetic field
title_full	Dynamics of dipole in a stationary non-homogeneous electromagnetic field
title_fullStr	Dynamics of dipole in a stationary non-homogeneous electromagnetic field
title_full_unstemmed	Dynamics of dipole in a stationary non-homogeneous electromagnetic field
title_sort	dynamics of dipole in a stationary non-homogeneous electromagnetic field
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/7f2b4175d5fa49778c245eb5c6c7e9cb
work_keys_str_mv	AT mariaprzybylska dynamicsofdipoleinastationarynonhomogeneouselectromagneticfield AT andrzejjmaciejewski dynamicsofdipoleinastationarynonhomogeneouselectromagneticfield
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Dynamics of dipole in a stationary non-homogeneous electromagnetic field

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