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Didactic derivation of the special theory of relativity from the Klein–Gordon equation

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Didactic derivation of the special theory of relativity from the Klein–Gordon equation

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dc.contributor.author Arodź, Henryk [SAP11008397] pl
dc.date.accessioned 2015-03-19T13:25:39Z
dc.date.available 2015-03-19T13:25:39Z
dc.date.issued 2014 pl
dc.identifier.issn 0143-0807 pl
dc.identifier.uri http://ruj.uj.edu.pl/xmlui/handle/item/3986
dc.language eng pl
dc.rights Dodaję tylko opis bibliograficzny *
dc.rights.uri *
dc.title Didactic derivation of the special theory of relativity from the Klein–Gordon equation pl
dc.type JournalArticle pl
dc.abstract.en We present a didactic derivation of the special theory of relativity in which Lorentz transformations are 'discovered' as symmetry transformations of the Klein–Gordon equation. The interpretation of Lorentz boosts as transformations to moving inertial reference frames is not assumed at the start, but it naturally appears at a later stage. The relative velocity v of two inertial reference frames is defined in terms of the elements of the pertinent Lorentz matrix, and the bound _{|v|<c} is presented as a simple theorem that follows from the structure of the Lorentz group. The polar decomposition of Lorentz matrices is used to explain noncommutativity and nonassociativity of the relativistic composition ('addition') of velocities. pl
dc.subject.en Lorentz transformations pl
dc.subject.en Lorentz group pl
dc.subject.en composition of velocities pl
dc.description.volume 35 pl
dc.description.number 5 pl
dc.description.publication 1 pl
dc.identifier.doi 10.1088/0143-0807/35/5/055015 pl
dc.identifier.eissn 1361-6404 pl
dc.title.journal European Journal of Physics pl
dc.language.container eng pl
dc.affiliation Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego pl
dc.subtype Article pl
dc.identifier.articleid 055015 pl
dc.rights.original bez licencji pl
.pointsMNiSW [2014 A]: 15


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