Electromagnetic space-time crystals. III. Dispersion relations for partial solutions

2014/10/21 by G. N. Borzdov, Borzdov, G. N.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #Nonlinear Waves and Solitons #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1410.5536

9 pages, 6 figures

arxiv created 2014/10/21 · openalex publication_date 2014/10/21 · arxiv updated 2014/10/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Partial solutions of the Dirac equation describing an electron motion in electromagnetic crystals created by plane waves with linear and circular polarizations are treated. It is shown that the electromagnetic crystal formed by circularly polarized waves possesses the spin birefringence.

Related

• Electromagnetic space-time crystals. I. Fundamental solution of the Dirac equation
• Effects of polarization in electromagnetic processes in oriented crystals at high energy
• Magnetic influence on classical dispersion
• Spin oscillations of relativistic fermions in the field of a traveling circularly polarized electromagnetic wave and a constant magnetic field
• About spin precession in electromagnetic wave