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arXiv · quant-ph/0103114

Time-like flows of energy-momentum and particle trajectories for the Klein-Gordon equation

George Horton·Chris Dewdney·Alexei Nesteruk
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Abstract

The Klein-Gordon equation is interpreted in the de Broglie-Bohm manner as a single-particle relativistic quantum mechanical equation that defines unique time-like particle trajectories. The particle trajectories are determined by the conserved flow of the intrinsic energy density which can be derived from the specification of the Klein-Gordon energy-momentum tensor in an Einstein-Riemann space. The approach is illustrated by application to the simple single-particle phenomena associated with square potentials.

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George Horton, Chris Dewdney, Alexei Nesteruk. 2001-03-20. Time-like flows of energy-momentum and particle trajectories for the Klein-Gordon equation. https://doi.org/10.1088/0305-4470%2F33%2F41%2F306

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