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

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 $\hslash \to 0$ limit of the speed of the free particle, and leads to solutions that, depending on the integration constants, may be superluminal.

5 pages

References in corpus (1)

• Measurement of the neutrino velocity with the OPERA detector in the CNGS beam

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• The Equivalence Postulate of Quantum Mechanics, Dark Energy and The Intrinsic Curvature of Elementary Particles
• OPERA Superluminal Neutrinos per Quantum Trajectories
• Superluminal neutrino energy spectrum of OPERA and MINOS
• Superluminal self-interacting neutrino