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The Dirac wave equation in the presence of an external field. (English) Zbl 0663.35074

The method of characteristics is applied to the Dirac wave equation in the presence of an external field. The retarded Green’s function for the minimal coupling to an external electromagnetic field is calculated explicitly, and a general coupling is discussed.

MSC:

35Q99 Partial differential equations of mathematical physics and other areas of application
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
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References:

[1] DOI: 10.1063/1.524202 · Zbl 0419.35057 · doi:10.1063/1.524202
[2] DOI: 10.1103/PhysRev.186.1337 · doi:10.1103/PhysRev.186.1337
[3] DOI: 10.1103/PhysRev.188.2218 · doi:10.1103/PhysRev.188.2218
[4] DOI: 10.1103/PhysRevD.32.3251 · doi:10.1103/PhysRevD.32.3251
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