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A Quantum Theoretical Formulation of Proper Time for Spin 1/2 Particles

2004/06/26 by Shoju Kudaka, Kudaka, Shoju, Shuichi Matsumoto +1
Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0406201

arxiv created 2004/06/26 · openalex publication_date 2004/06/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We find a quantum mechanical formulation of proper time for spin 1/2 particles within the framework of the Dirac theory. It is shown that an operator corresponds to the rate of the proper time and that the operator contains terms which oscillate with a very high frequency. We deduce, as an effect of these terms, the existence of an interference between the magnetic field and the rate of proper time. There is a possibility that the conclusion derived in this letter has some implications for astrophysics.

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