Landau levels of scalar QED in time-dependent magnetic fields

2013/05/31 by Sang Pyo Kim · 6 citations
Physics and Astronomy · #Adiabatic process #Cauchy distribution #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Formalism (music) #Landau quantization #Laser-Matter Interactions and Applications #Laser-Plasma Interactions and Diagnostics #Magnetic field #Mathematical physics #Physics #Quantum #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #Scalar potential #Time evolution #cond-mat.mes-hall #hep-th #quant-ph

paper · pdf · doi:10.1016/j.aop.2014.02.009

published in Annals of Physics 344, 1-9 (Elsevier BV) · RevTex 9 pages, 1 figure; interpretation restricted to scalar QED

arxiv created 2013/08/07 · openalex publication_date 2014/02/22 · arxiv updated 2015/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Extremely high-intensity laser interactions with fundamental quantum systems
• The Magnus expansion and some of its applications
• Quantum mechanics of Klein–Gordon fields I: Hilbert Space, localized states, and chiral symmetry
• Quantum mechanics of Klein–Gordon fields II: Relativistic coherent states
• On Gauge Invariance and Vacuum Polarization
• QED effective action in time dependent electric backgrounds