Superluminal solutions to the Klein-Gordon equation and a causality problem

Details Superluminal solutions to the Klein-Gordon equation and a causality problem Superluminal solutions to the Klein-Gordon equation and a causality problem

2003-10-17

arxiv.org/abs/quant-ph/0310110v1

Physics Letters A, vol. 318, pages 342-344 (2003)

Physics

Quantum Physics

to be published in Physics Letters A, an additional reference to the paper by Buttiker and Washburn

Scientific paper

We present a new axially symmetric monochromatic free-space solution to the Klein-Gordon equation propagating with a superluminal group velocity and show that it gives rise to an imaginary part of the causal propagator outside the light cone. We address the question about causality of the spacelike paths and argue that the signal with a well-defined wavefront formed by the superluminal modes would propagate in vacuum with the light speed.

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