Maxwell’s Equations in Homogeneous Spaces for Admissible Electromagnetic Fields

Maxwell’s vacuum equations are integrated for admissible electromagnetic fields in homogeneous spaces. Admissible electromagnetic fields are those for which the space group generates an algebra of symmetry operators (integrals of motion) that is isomorphic to the algebra of group operators. Two fram...
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Autor*in:	Valery V. Obukhov [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Maxwell’s vacuum equations Hamilton–Jacobi equation Klein–Gordon–Fock equation algebra of symmetry operators separation of variables linear partial differential equations

Übergeordnetes Werk:	In: Universe - MDPI AG, 2015, 8(2022), 4, p 245
Übergeordnetes Werk:	volume:8 ; year:2022 ; number:4, p 245

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/universe8040245

Katalog-ID:	DOAJ025698583

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spelling	10.3390/universe8040245 doi (DE-627)DOAJ025698583 (DE-599)DOAJ5829fc372a0a4ce7a09ce223891f4dcc DE-627 ger DE-627 rakwb eng QC793-793.5 Valery V. Obukhov verfasserin aut Maxwell’s Equations in Homogeneous Spaces for Admissible Electromagnetic Fields 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Maxwell’s vacuum equations are integrated for admissible electromagnetic fields in homogeneous spaces. Admissible electromagnetic fields are those for which the space group generates an algebra of symmetry operators (integrals of motion) that is isomorphic to the algebra of group operators. Two frames associated with the group of motions are used to obtain systems of ordinary differential equations to which Maxwell’s equations reduce. The solutions are obtained in quadratures. The potentials of the admissible electromagnetic fields and the metrics of the spaces contained in the obtained solutions depend on six arbitrary time functions, so it is possible to use them to integrate field equations in the theory of gravity. Maxwell’s vacuum equations Hamilton–Jacobi equation Klein–Gordon–Fock equation algebra of symmetry operators separation of variables linear partial differential equations Elementary particle physics In Universe MDPI AG, 2015 8(2022), 4, p 245 (DE-627)820684236 (DE-600)2813994-X 22181997 nnns volume:8 year:2022 number:4, p 245 https://doi.org/10.3390/universe8040245 kostenfrei https://doaj.org/article/5829fc372a0a4ce7a09ce223891f4dcc kostenfrei https://www.mdpi.com/2218-1997/8/4/245 kostenfrei https://doaj.org/toc/2218-1997 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 8 2022 4, p 245
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callnumber-first	Q - Science
author	Valery V. Obukhov
spellingShingle	Valery V. Obukhov misc QC793-793.5 misc Maxwell’s vacuum equations misc Hamilton–Jacobi equation misc Klein–Gordon–Fock equation misc algebra of symmetry operators misc separation of variables misc linear partial differential equations misc Elementary particle physics Maxwell’s Equations in Homogeneous Spaces for Admissible Electromagnetic Fields
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topic_title	QC793-793.5 Maxwell’s Equations in Homogeneous Spaces for Admissible Electromagnetic Fields Maxwell’s vacuum equations Hamilton–Jacobi equation Klein–Gordon–Fock equation algebra of symmetry operators separation of variables linear partial differential equations
topic	misc QC793-793.5 misc Maxwell’s vacuum equations misc Hamilton–Jacobi equation misc Klein–Gordon–Fock equation misc algebra of symmetry operators misc separation of variables misc linear partial differential equations misc Elementary particle physics
topic_unstemmed	misc QC793-793.5 misc Maxwell’s vacuum equations misc Hamilton–Jacobi equation misc Klein–Gordon–Fock equation misc algebra of symmetry operators misc separation of variables misc linear partial differential equations misc Elementary particle physics
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title	Maxwell’s Equations in Homogeneous Spaces for Admissible Electromagnetic Fields
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title_full	Maxwell’s Equations in Homogeneous Spaces for Admissible Electromagnetic Fields
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title_auth	Maxwell’s Equations in Homogeneous Spaces for Admissible Electromagnetic Fields
abstract	Maxwell’s vacuum equations are integrated for admissible electromagnetic fields in homogeneous spaces. Admissible electromagnetic fields are those for which the space group generates an algebra of symmetry operators (integrals of motion) that is isomorphic to the algebra of group operators. Two frames associated with the group of motions are used to obtain systems of ordinary differential equations to which Maxwell’s equations reduce. The solutions are obtained in quadratures. The potentials of the admissible electromagnetic fields and the metrics of the spaces contained in the obtained solutions depend on six arbitrary time functions, so it is possible to use them to integrate field equations in the theory of gravity.
abstractGer	Maxwell’s vacuum equations are integrated for admissible electromagnetic fields in homogeneous spaces. Admissible electromagnetic fields are those for which the space group generates an algebra of symmetry operators (integrals of motion) that is isomorphic to the algebra of group operators. Two frames associated with the group of motions are used to obtain systems of ordinary differential equations to which Maxwell’s equations reduce. The solutions are obtained in quadratures. The potentials of the admissible electromagnetic fields and the metrics of the spaces contained in the obtained solutions depend on six arbitrary time functions, so it is possible to use them to integrate field equations in the theory of gravity.
abstract_unstemmed	Maxwell’s vacuum equations are integrated for admissible electromagnetic fields in homogeneous spaces. Admissible electromagnetic fields are those for which the space group generates an algebra of symmetry operators (integrals of motion) that is isomorphic to the algebra of group operators. Two frames associated with the group of motions are used to obtain systems of ordinary differential equations to which Maxwell’s equations reduce. The solutions are obtained in quadratures. The potentials of the admissible electromagnetic fields and the metrics of the spaces contained in the obtained solutions depend on six arbitrary time functions, so it is possible to use them to integrate field equations in the theory of gravity.
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title_short	Maxwell’s Equations in Homogeneous Spaces for Admissible Electromagnetic Fields
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