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

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  • G. Horton
  • Chris Dewdney
  • Alexei Nesteruk
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.
Original languageEnglish
Pages (from-to)7337-7352
Number of pages16
JournalJournal of Physics A: Mathematical and General
Volume33
Issue number41
DOIs
Publication statusPublished - 2000

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