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Relativistic Quantum Newton's Law and photon trajectories

T. Djama
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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.

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T. Djama. 2001-11-27. Relativistic Quantum Newton's Law and photon trajectories. https://arxiv.org/abs/quant-ph/0111121

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