Relativistic Quantum Newton's Law and photon trajectories

Abstract

Using the relativistic quantum Hamilton-Jacobi equation within the framework of the equivalence postulate, and grounding one self on both relativistic and quantum Lagrangians, we construct a Lagrangian of relativistic quantum system in one dimension and derive a third order equation of motion representing a first integral of the relativistic quantum Newton's law. Then, we investigate the free particle case and establish the photon's trajectories.

LaTex, 13 pages, no figures, title changed, minor changes

Cited by in corpus (4)

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