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Debye potentials for Maxwell and Dirac fields from a generalization of the Killing–Yano equation

J. Math. Phys. 38, 4504 (1997); doi:10.1063/1.532140

Issue Date: September 1997

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I. M. Benn, Philip Charlton, and Jonathan Kress
Department of Mathematics, University of Newcastle, Callaghan, NSW 2308, Australia
By using conformal Killing–Yano tensors, and their generalizations, we obtain scalar potentials for both the source-free Maxwell and massless Dirac equations. For each of these equations we construct, from conformal Killing–Yano tensors, symmetry operators that map any solution to another. ©1997 American Institute of Physics.
History: Received 16 October 1996; accepted 29 April 1997
Permalink: http://link.aip.org/link/?JMAPAQ/38/4504/1
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KEYWORDS and PACS

Keywords
PACS
  • 03.50.De
    Classical and quantum physics: mechanics and fields Classical field theory Maxwell theory: general mathematical aspects
  • 03.65.Pm
    Classical and quantum physics: mechanics and fields Quantum mechanics Relativistic wave equations
  • 02.10.Sp
    Mathematical methods in physics Logic, set theory, and algebra Linear and multilinear algebra; matrix theory (finite and infinite)
  • YEAR: 1996-97

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ISSN:
0022-2488 (print)   1089-7658 (online)
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REFERENCES (39)
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For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. J. Cohen and L. Kegeles, Phys. Rev. D 10, 1070 (1974).
  2. S. Tachibana, Tôhoku Math. J. 21, 56 (1969).
  3. I. Robinson, J. Math. Phys. 2, 290 (1961).
  4. W. Dietz and R. Rüdiger, Gen. Relativ. Gravit. 12, 545 (1980).
  5. L. Kegeles and J. Cohen, Phys. Rev. D 19, 1641 (1979).
  6. J. Stewart, Proc. R. Soc. London, Ser. A 367, 527 (1979).
  7. G. Torres del Castillo, J. Math. Phys. 25, 342 (1984).
  8. R. Wald, Phys. Rev. Lett. 41, 203 (1978).
  9. S. Teukolsky, Astrophys. J. 185, 635 (1973).
  10. G. Torres del Castillo, J. Math. Phys. 29, 2078 (1988).
  11. G. Torres del Castillo, Proc. R. Soc. London, Ser. A 400, 119 (1985).
  12. E. Kalnins, R. McLenaghan, and G. Williams, Proc. R. Soc. London, Ser. A 439, 103 (1992).
  13. R. Penrose and W. Rindler, Spinors and Space-Time (Cambridge University, Cambridge, 1986), Vol. 2.
  14. I. Benn and R. Tucker, An Introduction to Spinors and Geometry with Applications in Physics (IOP, Bristol, 1987).
  15. J. Thorpe, J. Math. Phys. 10, 1 (1969).
  16. B. O'Neill, The Geometry of Kerr Black Holes (Peters, Wellesley, 1995).
  17. K. Yano, Ann. Math. 55, 328 (1952).
  18. M. Walker and R. Penrose, Commun. Math. Phys. 18, 265 (1970).
  19. N. Kamran and R. McLenaghan, Phys. Rev. D 30, 357 (1984).
  20. I. Benn, J. Math. Phys. 35, 1796 (1994).
  21. P. Sommers, Proc. R. Soc. London, Ser. A 349, 309 (1976).
  22. J. Goldberg and R. Sachs, Acta Phys. Polon. 12, 13 (1962).
  23. E. Newman and R. Penrose, J. Math. Phys. 3, 566 (1962).
  24. I. Robinson and A. Schild, J. Math. Phys. 4, 484 (1963).
  25. O. Laporte and G. Uhlenbeck, Phys. Rev. 37, 1380 (1931).
  26. A. Nisbet, Proc. R. Soc. London, Ser. A 250, 250 (1955).
  27. E. Mustafa and J. Cohen, Classical Quantum Gravity 4, 1623 (1987).
  28. B. Carter and R. McLenaghan, Phys. Rev. D 19, 1093 (1979).
  29. L. Hughston and L. Mason, Classical Quantum Gravity 5, 275 (1988).
  30. S. Tachibana and T. Kashiwada, J. Math. Soc. Jpn. 21, 259 (1969).
  31. G. Torres del Castillo, J. Math. Phys. 27, 1586 (1986).
  32. G. Torres del Castillo, J. Math. Phys. 37, 4053 (1996).
  33. G. Torres del Castillo, J. Math. Phys. 29, 971 (1988).
  34. G. Silva-Ortigoza, J. Math. Phys. 36, 6929 (1995).
  35. E. Kalnins, G. Williams, and W. Miller, Jr., Proc. R. Soc. London, Ser. A 452, 997 (1996).
  36. S. Dhurandhar, G. Vishveshwara, and J. Cohen, Phys. Rev. D 21, 2794 (1980).
  37. S. Dhurandhar, G. Vishveshwara, and J. Cohen, Phys. Rev. D 26, 2598 (1982).
  38. G. Torres del Castillo, Rev. Mexicana Fís. 41, 695 (1995).
  39. I. Benn and J. Kress, J. Phys. A 29, 6295 (1996)

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