Splitting of the Maxwell Tensor. II. Sources

Claudio Teitelboim

doi:10.1103/PhysRevD.3.297

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Splitting of the Maxwell Tensor. II. Sources

Claudio Teitelboim^*

Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540

^*On leave from Facultad de Ciencias, Universidad de Chile, Santiago, Chile.

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Phys. Rev. D 3, 297 – Published 15 January, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.297

Abstract

The sources of the bound tensor ${T_{I}}^{μ ν}$ and the emitted tensor ${T_{II}}^{μ ν}$ introduced by the author in his treatment of radiation reaction without advanced fields are investigated. It is found that both parts of the energy tensor have a $δ$ -function-type source on the world line of the charged particle. The strength of the source is, in each case, the rate of change of the corresponding four-momentum. This is in sharp contrast with the situation in the advanced-field approach where the radiation field is source free and one has emission but not emitter. A very simple derivation of the Lorentz-Dirac equation based on the above results is presented.

References (7)

P. A. M. Dirac, Proc. Roy. Soc. (London) A167, 148 (1938)
[5]
J. A. Wheeler and R. P. Feynman, Rev. Mod. Phys. 17, 15 (1945) ibid.21, 425 (1949)
Omitted endnote
C. Teitelboim, Phys. Rev. D 1, 1572 (1970) ibid.2, 1763 (E) (1970)
Omitted endnote
Omitted endnote

[c1] P. A. M. Dirac, Proc. Roy. Soc. (London) A167, 148 (1938)

[c2] [5]

[c3] J. A. Wheeler and R. P. Feynman, Rev. Mod. Phys. 17, 15 (1945) ibid.21, 425 (1949)

[c4] Omitted endnote

[c5] C. Teitelboim, Phys. Rev. D 1, 1572 (1970) ibid.2, 1763 (E) (1970)

[c6] Omitted endnote

[c7] Omitted endnote

Physical Review D

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Splitting of the Maxwell Tensor. II. Sources

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References (7)

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