The Relativistic Quantum Motions

Details The Relativistic Quantum Motions The Relativistic Quantum Motions

2004-07-06

arxiv.org/abs/quant-ph/0407044v1

Phys.Scripta 75 (2007) 71-76

Physics

Quantum Physics

Latex, 18 pages, 3 eps figures

Scientific paper

10.1088/0031-8949/75/1/011

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.

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