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Physics Letters A

The Dirac equation in the de Broglie-Bohm theory

D. Ranganathan

Published Mar 1, 1988• 1 citation
Publisher
DOI
10.1016/0375-9601(88)90890-0

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arXiv:quant-ph/0304195•Apr 29, 2003•0 citations
A de Broglie-Bohm like model of Dirac equation, that leads to the correct Pauli equations for electrons and positrons in the low-speed limit, is presented. Under this theoretical framework, that affords an interpretation of the quantum potential, the main assumption of the de Broglie-Bohm theory--that the local momentum of particles is given by the gradient of the phase of the wave function--wont be accurate. Also, the number of particles wont be locally conserved. Furthermore, the representation of physical systems through wave functions wont be complete.