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

TL;DR
This paper investigates the Dirac equation solutions in electromagnetic crystals formed by plane waves, revealing spin birefringence in circularly polarized wave structures, and provides dispersion relations for these partial solutions.
Contribution
It introduces new partial solutions to the Dirac equation in electromagnetic crystals and demonstrates the existence of spin birefringence in circularly polarized wave structures.
Findings
Electromagnetic crystals with circular polarization exhibit spin birefringence.
Derived dispersion relations for partial solutions of the Dirac equation.
Analyzed electron motion in electromagnetic crystal environments.
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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons
