Relativistic Quantum Newton's Law and photon trajectories

Details Relativistic Quantum Newton's Law and photon trajectories Relativistic Quantum Newton's Law and photon trajectories

2001-11-22

arxiv.org/abs/quant-ph/0111121v2

Physics

Quantum Physics

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

Scientific paper

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.

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