A de Broglie-Bohm Like Model for Dirac Equation

Details A de Broglie-Bohm Like Model for Dirac Equation A de Broglie-Bohm Like Model for Dirac Equation

2003-04-29

arxiv.org/abs/quant-ph/0304195v3

Physics

Quantum Physics

9 pages, typing errors corrected (eqs. 45 & 46), Submitted to Il Nuovo Cimento

Scientific paper

10.1393/ncb/i2003-10085-4

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.

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