Linear Modifications in the Maxwell Field Equations

Robert Serber

doi:10.1103/PhysRev.48.49

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Linear Modifications in the Maxwell Field Equations

Robert Serber^*

University of California, Berkeley

^*National Research Fellow.

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Phys. Rev. 48, 49 – Published 1 July, 1935

DOI: https://doi.org/10.1103/PhysRev.48.49

Abstract

Expressions, accurate to the first order in $e^{2}$ , are obtained for the charge and current densities which, according to positron theory, are induced in vacuum by an electromagnetic field. Because the corresponding correction terms in the Maxwell field equations involve integral operators, it does not seem possible to treat the modified field equations by Hamiltonian methods.

References (7)

P. A. M. Dirac, Proc. Camb. Phil. Soc. 30, 150 (1934)
W. Heisenberg, Zeits. f. Physik 90, 209 (1934)
[2]
Whittaker and Watson, Modern Analysis, §17.71 Watson, Theory of Bessel Functions, §13.6
Omitted endnote
Modern Analysis, Chap. XVII
Watson, Theory of Bassel Functions, §13.6

[c1] P. A. M. Dirac, Proc. Camb. Phil. Soc. 30, 150 (1934)

[c2] W. Heisenberg, Zeits. f. Physik 90, 209 (1934)

[c3] [2]

[c4] Whittaker and Watson, Modern Analysis, §17.71 Watson, Theory of Bessel Functions, §13.6

[c5] Omitted endnote

[c6] Modern Analysis, Chap. XVII

[c7] Watson, Theory of Bassel Functions, §13.6

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Linear Modifications in the Maxwell Field Equations

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References (7)

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