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

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

2001-03-20

arxiv.org/abs/quant-ph/0103114v1

J.Phys.A:Math.Gen 33 (2000) 7337-7352

Physics

Quantum Physics

14 pages, 11 figures

Scientific paper

10.1088/0305-4470/33/41/306

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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