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Waves, particles, and field dynamics

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.2229419· OSTI ID:20860770
 [1]
  1. Dipartimento di Matematica, Universita di Bari, Via E. Orabona, 4 - 70125 Bari (I) (Italy)

The idea of associating particle trajectories with wave propagation rays is examined in the context of general relativity. The additional assumption that also Hamilton-Jacobi particle equation and wave front equation of motion can be identified in an n>3 coordinate space leads to a Kaluza-Klein type theory involving Klein-Gordon and Dirac equations. Moreover de Broglie and Einstein-Planck quantum relations can be deduced in a natural way.

OSTI ID:
20860770
Journal Information:
Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 8 Vol. 47; ISSN JMAPAQ; ISSN 0022-2488
Country of Publication:
United States
Language:
English