Superluminality and a curious phenomenon in the relativistic quantum Hamilton-Jacobi equationDedicated to Shawn Lane

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...

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Bibliographic Details
Published in:Physica scripta 2012-10, Vol.86 (5)
Main Author: Matone, Marco
Format: Article
Language:English
Online Access:Get full text
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Summary: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 → 0 limit of the speed of the free particle, and leads to solutions that, depending on the integration constants, may be superluminal.
ISSN:0031-8949
1402-4896
DOI:10.1088/0031-8949/86/05/055007