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arXiv · 1305.2577

Landau Levels of Scalar QED in Time-Dependent Magnetic Fields

Sang Pyo Kim
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Abstract

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.

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Sang Pyo Kim. 2013-08-07. Landau Levels of Scalar QED in Time-Dependent Magnetic Fields. https://doi.org/10.1016/j.aop.2014.02.009

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