We examine the creation of electron-positron pairs in a very strong force field. Using numerical solutions to quantum field theory we calculate the spatial and momentum probability distributions for the created particles. A comparison with classical mechanical phase space calculations suggests that despite the fully relativistic and quantum mechanical nature of the matter creation process, most aspects can be reproduced accurately in terms of classical mechanics.
Chott, N I.; Su, Qichang; and Grobe, Rainer, "Classical-quantum correspondence in electron-positron pair creation" (2007). Faculty publications – Physics. Paper 42.