Proper Time for Spin 1/2 Particles

dc.creatorKudaka, Shoju
dc.creatorMatsumoto, Shuichi
dc.date2005-08-05
dc.date.accessioned2026-07-07T06:13:19Z
dc.date.available2026-07-07T06:13:19Z
dc.descriptionWe find a quantum mechanical formulation of proper time for spin 1/2 particles within the framework of the Dirac theory. It is shown that the rate of proper time can be represented by an operator called the ` ` tempo operator'', and that the proper time itself be given by the integral of the expectation value of the operator. The tempo operator has some terms involving the Pauli spin matrices, and the evolution of the proper time is influenced by the spin state via these terms. The relation between the tempo operator and the metric tensor is elucidated.
dc.description15 pages, no figure
dc.identifierhttps://arxiv.org/abs/quant-ph/0508046
dc.identifierhttp://arxiv.org/abs/quant-ph/0508046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93061
dc.subjectQuantum Physics
dc.titleProper Time for Spin 1/2 Particles
dc.typetext

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