2017/06/02 by David Velasco Villamizar, B. Russell, Villamizar, David Velasco +1
Physics and Astronomy · #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.1706.00822
openalex publication_date 2017/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article we present a detailed description of an electron in a uniform magnetic field evolving under the Schrödinger equation using ladder operators. Based on this analysis, we describe the same physical system using the Dirac equation, known from relativistic quantum mechanics. The main differences between these two quantum mechanical approaches are discussed and we observe specifically how the relativistic phenomena modify the description of this particular quantum system.