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arXiv:quant-ph/0407044 · Physica Scripta

Relativistic quantum motion

T. Djama

Published Dec 5, 2006• 1 citation
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Abstract

Using the relativistic quantum stationary Hamilton-Jacobi equation within the framework of the equivalence postulate, and grounding oneself on both relativistic and quantum Lagrangians, we construct a Lagrangian of a 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 plot the relativistic quantum trajectories of a particle moving under the constant and the linear potentials. We establish the existence of nodes and link them to the de Broglie's wavelength.

DOI
10.1088/0031-8949/75/1/011

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