Self-force approach to synchrotron radiation

American Journal of Physics

Volumn 68, Issue 5, 2000, Pages 456-468

  Burko, Lior M ^a,b  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034382993     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.19460     Document Type: Article

References (30)

1. T. Erber, "The classical theories of radiation reaction," Fortschr. Phys. 9, 343-392 (1961).
2. P. Pearle, "Classical electron models," in Electromagnetism - Paths to Research, edited by D. Teplitz (Plenum, New York, 1982).
3. F. Rohrlich, Classical Charged Particles (Addison-Wesley, Reading, MA, 1965).
4. P. A. M. Dirac, "Classical theory of radiating electrons," Proc. R. Soc. London, Ser. A 167, 148-169 (1938).
5. B. S. DeWitt and R. W. Brehme, "Radiation damping in a gravitational field," Ann. Phys. (N.Y.) 9, 220-259 (1960).
6. T. C. Quinn and R. M. Wald, "Axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved spacetime," Phys. Rev. D 56, 3381-3394 (1997).
7. J. D. Templin, "Radiation reaction and runaway solutions in acoustics," Am. J. Phys. 67, 407-413 (1999).
8. A. Ori, "Radiative evolution of orbits around a Kerr black hole," Phys. Lett. A 202, 347-351 (1995).
9. A. Ori, "Radiative evolution of the Carter constant for generic orbits around a Kerr black hole," Phys. Rev. D 55, 3444-3456 (1997).
10. A. Ori (unpublished); L. Barack and A. Ori, "Mode sum regularization approach for the self force in black hole spacetime" (submitted to Phys. Rev. D), gr-qc/9912010.
11. T. H. Boyer, "Mass renormalization and radiation damping for a charged particle in uniform circular motion," Am. J. Phys. 40, 1843-1846 (1972).
12. S. Turner (ed.), Synchrotron Radiation and Free Electron Lasers (CERN 98-04, 1996) (unpublished).
13. G. Margaritondo, Introduction to Synchrotron Radiation (Oxford U.P., Oxford. 1988).
14. A. A. Sokolov and I. M. Ternov, Radiation from Relativistic Electrons (American Institute of Physics, New York, 1986).
15. J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975).
16. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, 4th ed. (Pergamon, Oxford, 1975).
17. T. Erber, G. B. Baumgartner, Jr., D. White, and H. G. Latal, "Mega-Gauss Bremsstrahlung and radiation reaction," in Proceedings of the 12th International Conference on High-energy Accelerators, edited by F. T. Cole and R. Donaldson (Fermilab, 1983).
18. B. F. Schutz, A First Course in General Relativity (Cambridge U.P., Cambridge, 1985).
19. K. S. Thorne, "Multipole expansions of gravitational radiation," Rev. Mod. Phys. 52, 299-339 (1980).
20. The first author to write this gauge condition was L. V. Lorenz. I thank Asher Peres for drawing my attention to this. Cf. B. Felsager, Geometry, Particles, and Fields (Springer, New York, 1998).
21. The Lorenz gauge is consistent with the multipole decomposition, in the sense that the Lorenz gauge is satisfied separately by each multipole mode (see Appendix A).
22. The overall sign of the Wronskian determinant is determined unambiguously by the requirement that Eq. (6) would be the solution of the inhomogeneous equation (5). See Appendix B.
23. G. B. Arfken, Mathematical Methods for Physicists, 3rd ed. (Academic, Orlando, 1985), p. 677. Note, however, a typographical misprint.
24. α = 1 if the signature is -2.) The correct relative sign between the two terms in the ALD equation is most easily found by checking that the four-force is perpendicular to the four-velocity.
25. D. J. Griffiths and R. E. Owen, "Mass renormalization in classical electrodynamics," Am. J. Phys. 51, 1120-1126 (1983).
26. 3 as eigenvalue problems," J. Math. Phys. 19, 2441-2446 (1978).
27. T. Regge and J. A. Wheeler, "Stability of a Schwarzschild singularity," Phys. Rev. 108, 1063-1069 (1957).
28. L. M. Burko, "Self-force on static charges in Schwarzschild spacetime," Class. Quantum Grav. 17, 227-250 (2000); L. M. Burko, "Self-force on particle in orbit around a black hole" (in preparation); M. Burko, "Self-force approach for radiation reaction," in Proceedings of the 3rd Amaldi Conference on Gravitational Waves, edited by Sydney Meshkov (to be published), gr-qc/9911089.
29. L. M. Burko, "Self-force on static charges in Schwarzschild spacetime," Class. Quantum Grav. 17, 227-250 (2000); L. M. Burko, "Self-force on particle in orbit around a black hole" (in preparation); M. Burko, "Self-force approach for radiation reaction," in Proceedings of the 3rd Amaldi Conference on Gravitational Waves, edited by Sydney Meshkov (to be published), gr-qc/9911089.
30. L. M. Burko, "Self-force on static charges in Schwarzschild spacetime," Class. Quantum Grav. 17, 227-250 (2000); L. M. Burko, "Self-force on particle in orbit around a black hole" (in preparation); M. Burko, "Self-force approach for radiation reaction," in Proceedings of the 3rd Amaldi Conference on Gravitational Waves, edited by Sydney Meshkov (to be published), gr-qc/9911089.