Abstract
It is shown that the quadratic component of the kinetic energy of continuous longitudinal motion of relativistic electrons in the external magnetic field is varied continuously between 0 and 2(2m e c 2μB H) within each Landau energy level, undergoing an abrupt change at the boundaries of the levels. This results in the fact that in the quantum limit of a superstrong magnetic field where all electrons are at the zero Landau level, the maximum quadratic component of the kinetic energy of free longitudinal electron motion along the direction of the magnetic field is twice as high as the maximum quadratic component of the kinetic energy of its bound transverse motion.
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Shul'man, G.A. A Mathematical Representation of Quantizing the Motion of Relativistic Electrons in a Magnetic Field. Russian Physics Journal 46, 15–20 (2003). https://doi.org/10.1023/A:1024088316647
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DOI: https://doi.org/10.1023/A:1024088316647