Negative group delay for Dirac particles traveling through a potential well

Details Negative group delay for Dirac particles traveling through a potential well Negative group delay for Dirac particles traveling through a potential well

2004-11-08

arxiv.org/abs/quant-ph/0411052v1

Phys. Rev. A 68, 052105 (2003)

Physics

Quantum Physics

10 pages, 5 figures

Scientific paper

10.1103/PhysRevA.68.052105

The properties of group delay for Dirac particles traveling through a potential well are investigated. A necessary condition is put forward for the group delay to be negative. It is shown that this negative group delay is closely related to its anomalous dependence on the width of the potential well. In order to demonstrate the validity of stationary-phase approach, numerical simulations are made for Gaussian-shaped temporal wave packets. A restriction to the potential-well's width is obtained that is necessary for the wave packet to remain distortionless in the travelling. Numerical comparison shows that the relativistic group delay is larger than its corresponding non-relativistic one.

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