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Quantum Potential in Relativistic Dynamics

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Abstract

The experimental confirmation of nonlocality has renewed interest in Bohm's quantum potential. The construction of quantum potentials for relativistic systems has encountered difficulties which do not arise in a parametrized formulation of relativistic quantum mechanics known as Relativistic Dynamics. The purpose of this paper is to show how to construct a quantum potential in the relativistic domain by deriving a relativistically invariant quantum potential using Relativistic Dynamics. The formalism is applied to three relativistic scalar particle models: a single particle interacting with a scalar potential; N particles interacting with a scalar potential; and a single particle interacting with an electromagnetic 4-vector potential.

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  1. Colorado School of Mines, 180 Eagle Drive, Golden, Colorado, 80403, and the, USA

    John R. Fanchi

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  1. John R. Fanchi
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Fanchi, J.R. Quantum Potential in Relativistic Dynamics. Foundations of Physics 30, 1161–1189 (2000). https://doi.org/10.1023/A:1003680320642

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