1204.3397 (Kazuhiro Yokota et al.)

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

Kazuhiro Yokota, Nobuyuki Imoto

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).

View original: http://arxiv.org/abs/1204.3397