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arXiv · 2101.10117

Hamiltonian Formulation of the Pilot-Wave Theory

Dan N. Vollick
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Abstract

In the pilot-wave theory of quantum mechanics particles have definite positions and velocities and the system evolves deterministically. The velocity of a particle is determined by the wave function of the system (the guidance equation) and the wave function evolves according to Schrodinger's equation. In this paper I first construct a Hamiltonian that gives Schrodinger's equation and the guidance equation for the particle. I then find the Hamiltonian for a relativistic particle in Dirac's theory and for a quantum scalar field.

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Dan N. Vollick. 2021-01-21. Hamiltonian Formulation of the Pilot-Wave Theory. https://doi.org/10.1139/cjp-2018-0243

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