Abstract
The most general solution of the system of massless Maxwell–Dirac equations in 1+1-dimensional space–time (or classical Schwinger theory) is obtained in terms of four arbitrary functions and one arbitrary constant. A particular example is furnished for which the Dirac wave function vanishes completely outside a finite spatial range. Maxwell–Dirac equations for a nonzero mass parameter are reduced to a single, real, fourth-order, nonlinear partial differential equation. A particular class of solutions for this complicated equation is provided.
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