A strange weak value in spontaneous pair productions via a supercritical step potential

Details A strange weak value in spontaneous pair productions via a supercritical step potential A strange weak value in spontaneous pair productions via a supercritical step potential

2012-04-16

arxiv.org/abs/1204.3397v1

Physics

Quantum Physics

11 pages, 3 figures

Scientific paper

We show a time evolution of a particle by 1+1 dimensional Dirac equation can be expressed by a weak value formalism in some specific case. Particularly in a spontaneous pair production via a supercritical step potential, a weak value for the group velocity of the particle gives us a quantitative explanation for the pair production. We also show the condition for the pair production (supercriticality) corresponds to the condition when the weak value takes a strange value (superluminal velocity).

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