A hybrid approach for quantizing complicated motion of a charged particle in time-varying magnetic field

DOI10.1016/J.AOP.2014.11.014zbMath1343.81077OpenAlexW2001317387MaRDI QIDQ307146

Salah Menouar, Jeong-Ryeol Choi

Publication date: 1 September 2016

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2014.11.014

zbMATH Keywords

charged particlewave functionunitary transformation\(\mathrm{SU}(1,1)\) Lie algebrainvariant operator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Motion of charged particles (78A35)

Related Items (7)

Evolution of energy and magnetic moment of a quantum charged particle in power-decaying magnetic fields ⋮ Lewis-Riesenfeld quantization and SU(1, 1) coherent states for 2D damped harmonic oscillator ⋮ Quantization of a 3D nonstationary harmonic plus an inverse harmonic potential system ⋮ Landau problem with time dependent mass in time dependent electric and harmonic background fields ⋮ Quantization of a 3D nonstationary harmonic plus an inverse harmonic potential system ⋮ Entropy and information of a spinless charged particle in time-varying magnetic fields ⋮ Magnetization dynamics of a harmonically confined quantum charged particle in time dependent magnetic fields inside a circular solenoid

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