A strange weak value in spontaneous pair productions via a supercritical step potential
arXiv:1204.3397 · doi:10.1088/1367-2630/14/8/083021
Abstract
We consider a case where a weak value is introduced as a physical quantity rather than an average of weak measurements. The case we treat is a time evolution of a particle by 1+1 dimensional Dirac equation. Particularly in a spontaneous pair production via a supercritical step potential, a quantitative explanation can be given by a weak value for the group velocity of the particle. We also show the condition for the pair production (supercriticality) corresponds to the condition when the weak value takes a strange value (superluminal velocity).
12 pages, 3 figures, close to published version
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