Gaussian beams for the stationary 2D Dirac equation with inhomogeneous electric and magnetic fields are constructed. Gaussian beams (GB) are such asymptotic solutions of this equation that are exponentially localized near semiclassical trajectories. To derive formulas for the GB, we found the leading term of semiclassical asymptotic solutions of this equation by elementary methods. The results are given in such a form that can be applied to another vector problems.

Original languageEnglish
Title of host publicationProceedings of the International Conference on Days on Diffraction 2019, DD 2019
EditorsOleg V. Motygin, Aleksei P. Kiselev, Leonid I. Goray, A.A. Fedotov, A.Ya. Kazakov, Anna S. Kirpichnikova
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages111-116
Number of pages6
ISBN (Electronic)9781728158372
DOIs
StatePublished - Jun 2019
Event2019 International Conference on Days on Diffraction, DD 2019 - ПОМИ РАН, St. Petersburg, Russian Federation
Duration: 3 Jun 20197 Jun 2019
http://www.pdmi.ras.ru/~dd/download/DD19_program.pdf

Publication series

NameProceedings of the International Conference on Days on Diffraction 2019, DD 2019

Conference

Conference2019 International Conference on Days on Diffraction, DD 2019
Country/TerritoryRussian Federation
CitySt. Petersburg
Period3/06/197/06/19
Internet address

    Scopus subject areas

  • Computational Mathematics
  • Mathematical Physics
  • Acoustics and Ultrasonics
  • Atomic and Molecular Physics, and Optics
  • Radiation

ID: 53452253