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.
REFERENCES
1.
A. S. Wightman, “Relativistic wave equations as singular hyperbolic systems,” in Proceedings of the Symposium on Pure Mathematics (Am. Math. Soc., Providence, RI, 1973), Vol. XXIII.
2.
A. S. Wightman, in Aspects of Quantum Theory, edited by A. Salam and E. P. Wigner (Cambridge U.P., Cambridge, 1972), p. 95.
3.
J. Bjorken and S. Drell, Relativistic Quantum Fields (McGraw‐Hill, New York, 1965).
4.
5.
D. Zwanziger, in Invariant Wave Equations, proceedings of the “Ettore Majorana” International School of Mathematical Phyiscs, Erice, Italy, 1977, Lecture Notes in Physics, Vol. 73, edited by G. Velo and A. S. Wightman (Springer, New York, 1978), p. 160.
6.
7.
8.
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© 1987 American Institute of Physics.
1987
American Institute of Physics
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