DERIVATION OF THE ENERGY-TIME UNCERTAINTY RELATION

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dc.contributor.authorKobe, D. H.
dc.contributor.authorAguileranavarro, V. C.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T15:21:10Z
dc.date.available2014-05-20T15:21:10Z
dc.date.issued1994-08-01
dc.description.abstractA derivation from first principles is given of the energy-time uncertainty relation in quantum mechanics. A canonical transformation is made in classical mechanics to a new canonical momentum, which is energy E, and a new canonical coordinate T, which is called tempus, conjugate to the energy. Tempus T, the canonical coordinate conjugate to the energy, is conceptually different from the time t in which the system evolves. The Poisson bracket is a canonical invariant, so that energy and tempus satisfy the same Poisson bracket as do p and q. When the system is quantized, we find the energy-time uncertainty relation DELTAEDELTAT greater-than-or-equal-to HBAR/2. For a conservative system the average of the tempus operator T is the time t plus a constant. For a free particle and a particle acted on by a constant force, the tempus operators are constructed explicitly, and the energy-time uncertainty relation is explicitly verified.en
dc.description.affiliationUNESP,INST FIS TEOR,BR-01405000 SAO PAULO,BRAZIL
dc.description.affiliationUnespUNESP,INST FIS TEOR,BR-01405000 SAO PAULO,BRAZIL
dc.format.extent933-938
dc.identifierhttp://dx.doi.org/10.1103/PhysRevA.50.933
dc.identifier.citationPhysical Review A. College Pk: American Physical Soc, v. 50, n. 2, p. 933-938, 1994.
dc.identifier.doi10.1103/PhysRevA.50.933
dc.identifier.fileWOSA1994PB59200011.pdf
dc.identifier.issn1050-2947
dc.identifier.urihttp://hdl.handle.net/11449/32348
dc.identifier.wosWOS:A1994PB59200011
dc.language.isoeng
dc.publisherAmerican Physical Soc
dc.relation.ispartofPhysical Review A
dc.relation.ispartofsjr1,288
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleDERIVATION OF THE ENERGY-TIME UNCERTAINTY RELATIONen
dc.typeArtigo
dcterms.licensehttp://publish.aps.org/authors/transfer-of-copyright-agreement
dcterms.rightsHolderAmerican Physical Soc
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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