Landau Levels of Scalar QED in Time-Dependent Magnetic Fields
arXiv:1305.2577 · doi:10.1016/j.aop.2014.02.009
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.
RevTex 9 pages, 1 figure; interpretation restricted to scalar QED
References in corpus (5)
- The Magnus expansion and some of its applications
- Physics of Strongly Magnetized Neutron Stars
- Effective Action of QED in Electric Field Backgrounds
- Quantum Mechanics of Klein-Gordon Fields I: Hilbert Space, Localized States, and Chiral Symmetry
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Cited by in corpus (4)
- Exact Foldy-Wouthuysen transformation of the Dirac-Pauli Hamiltonian in the weak-field limit by the method of direct perturbation theory
- Construction of Exact Ermakov-Pinney Solutions and Time-Dependent Quantum Oscillators
- Second Quantized Scalar QED in Homogeneous Time-Dependent Electromagnetic Fields
- Simulation of Quantum Universe