Shift Theorem and Schwinger Mechanism in the Presence of Arbitrary Time Dependent Electric Field

Gouranga C Nayak
 
In this talk, I will show that, in certain integrals and path integrals it is possible to shift one of the non-commuting operator from the exponential of sum of two non-commuting operators. Using this shift theorem we study, for the first time, Schwinger mechanism in the presence of arbitrary time dependent electric field E(t) and find that it has exactly the same form as Schwinger's constant E result.