Phases of semiclassical solutions of the two-dimensional massless Dirac equation with a constant electromagnetic field
https://doi.org/10.22405/2226-8383-2025-26-4-475-486
Abstract
The phase graphs of semiclassical asymptotics of solutions to the two-dimensional massless Dirac equation with a localized initial condition in a constant (independent of position and time)
electromagnetic field have been studied. The considered equation describes the propagation of quasiparticles (electrons and holes) in graphene, with the electric component of the field parallel to the graphene plane and the magnetic component perpendicular to it. Formulas for the phases have been obtained for all values of the electromagnetic field components.
About the Authors
Dinmukhammed Zhuldyzbayuly Akpan
Lomonosov Moscow State University; Institute of Mathematics and Mathematical Modeling
Russian Federation
Russian Federation
Ilya Aleksandrovich Bogaevskii
Guangdong Technion-Israel Institute of Technology; Scientific Research Institute of System Analysis
Russian Federation
Russian Federation
doctor of physical and mathematical sciences
Nail Ravilevich Ziatdinov
Lomonosov Moscow State University
Russian Federation
Russian Federation
Andrey Aleksandrovich Oshemkov
Lomonosov Moscow State University
Russian Federation
Russian Federation
doctor of physical and mathematical sciences, professor
References
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Review
For citations:
Akpan D.Zh., Bogaevskii I.A., Ziatdinov N.R., Oshemkov A.A. Phases of semiclassical solutions of the two-dimensional massless Dirac equation with a constant electromagnetic field. Chebyshevskii Sbornik. 2025;26(4):475-486. (In Russ.) https://doi.org/10.22405/2226-8383-2025-26-4-475-486
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