Phases of semiclassical solutions of the two-dimensional massless Dirac equation with a constant electromagnetic field
Фазы квазиклассических решений двумерного безмассового уравнения Дирака в постоянном электромагнитном поле1
Zhuldyzbayuly A.D. Aleksandrovich B.I. Ravilevich Z.N. Aleksandrovich O.A.
2025State Lev Tolstoy Pedagogical University
Chebyshevskii Sbornik
2025#26Issue 4475 - 486 pp.
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.
graphene , Legendrian submanifolds , massless Dirac equation , quasiparticles , semiclassical asymptotics
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Lomonosov Moscow State University, Moscow, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Guangdong Technion-Israel Institute of Technology, Guangdong, China
Scientific Research Institute of System Analysis, Moscow, Russian Federation
Lomonosov Moscow State University
Institute of Mathematics and Mathematical Modeling
Guangdong Technion-Israel Institute of Technology
Scientific Research Institute of System Analysis
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026