%0 Journal Article
%T Landau Levels of Scalar QED in Time-Dependent Magnetic Fields
%A Sang Pyo Kim
%J Physics
%D 2013
%I arXiv
%R 10.1016/j.aop.2014.02.009
%X The Landau levels of scalar QED undergo continuous transitions under a homogeneous, time-dependent magnetic field. We analytically formulate the Klein-Gordon equation for a charged spinless scalar as a Cauchy initial value problem in the two-component first order formalism and then put forth a measure that classifies the quantum motions into the adiabatic change, the nonadiabatic change, and the sudden change. We find the exact quantum motion and calculate the pair-production rate when the magnetic field suddenly changes as a step function.
%U http://arxiv.org/abs/1305.2577v2