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arXiv · 1109.6631

Superluminality and a Curious Phenomenon in the Relativistic Quantum Hamilton-Jacobi Equation

Marco Matone
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Abstract

A basic problem in the relativistic quantum Hamilton-Jacobi theory is to understand whether it may admit superluminal solutions. Here we consider the averaging of the speed on a period of the oscillating term which is similar to Dirac's averaging of the oscillating part of the free electron's speed. Such an averaging solves the problem of getting the $\hbar\to 0$ limit of the speed of the free particle, and leads to solutions that, depending on the integration constants, may be superluminal.

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Marco Matone. 2012-12-16. Superluminality and a Curious Phenomenon in the Relativistic Quantum Hamilton-Jacobi Equation. https://doi.org/10.1088/0031-8949%2F86%2F05%2F055007

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