The nonlocal electrodynamics of accelerated systems is discussed in connection with the development of Lorentz-invariant nonlocal field equations. Nonlocal Maxwell's equations are presented explicitly for certain linearly accelerated systems. In general, the field equations remain nonlocal even after accelerated motion has ceased.

References

[1]J. Hopkinson, Philos. Trans. R. Soc. Lond. 167, 599 (1877).
10.1098/rstl.1877.0016
Google Scholar
[2]S. Poisson, Mém. Acad. R. Sci. Inst. France 6, 441 (1823).
Google Scholar
[3]J. Liouville, J. Math. 2, 439 (1837).
Google Scholar
[4]L.D. Landau and E.M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, Oxford, 1960), p. 249.
Google Scholar
[5]H.T. Davis, The Theory of the Volterra Integral Equation of Second Kind, Indiana University Studies 17 (1930).
Google Scholar
[6]G. Bertotti, Hysteresis in Magnetism (Academic Press, San Diego, 1998).
Google Scholar
[7]V. Volterra, Theory of Functionals and of Integral and Integro-Differential Equations (Dover, New York, 1959).
Google Scholar
[8]F.G. Tricomi, Integral Equations (Interscience, New York, 1957).
Google Scholar
[9]A.C. Eringen, J. Math. Phys. 25, 3235 (1984).
10.1063/1.526070
Web of Science® Google Scholar
[10]F.W. Hehl and Y.N. Obukhov, Foundations of Classical Electrodynamics (Birkhäuser, Boston, 2003).
Google Scholar
[11]B. Mashhoon, Phys. Lett. A 143, 176 (1990).
10.1016/0375-9601(90)90734-6
Web of Science® Google Scholar
[12]B. Mashhoon, Phys. Lett. A 145, 147 (1990).
10.1016/0375-9601(90)90670-J
Web of Science® Google Scholar
[13]B. Mashhoon, The hypothesis of locality and its limitations, in: Relativity in Rotating Frames, edited by G. Rizzi and M. L. Ruggiero (Kluwer Academic Publishers, Dordrecht, 2003).
Google Scholar
[14]B. Mashhoon, Phys. Rev. A 47, 4498 (1993).
10.1103/PhysRevA.47.4498
CAS PubMed Web of Science® Google Scholar
[15]N. Bohr and L. Rosenfeld, K. Dan. Vidensk. Selsk. Mat.-Fys. Medd. (Denmark) 12(8), (1933);
Google Scholar
translated in: Quantum Theory and Measurement, edited by J. A. Wheeler and W. H. Zurek (Princeton University Press, Princeton, 1983).
Google Scholar
[16]N. Bohr and L. Rosenfeld, Phys. Rev. 78, 794 (1950).
10.1103/PhysRev.78.794
Web of Science® Google Scholar
[17]B. Mashhoon, Nonlocal electrodynamics, in: Cosmology and Gravitation, edited by M. Novello (Editions Frontières, Gif-sur-Yvette, 1994), pp. 245–295.
Google Scholar
[18]C. Chicone and B. Mashhoon, Ann. Phys. (Leipzig) 11, 309 (2002).
10.1002/1521-3889(200204)11:4<309::AID-ANDP309>3.0.CO;2-A
Web of Science® Google Scholar
[19]C. Chicone and B. Mashhoon, Phys. Lett. A 298, 229 (2002).
10.1016/S0375-9601(02)00439-5
CAS Web of Science® Google Scholar
[20]B. Mashhoon, Gravitation and nonlocality, in: Proceedings of the 25th Johns Hopkins Workshop on Current Problems in Particle Theory: 2001: A Relativistic Spacetime Odyssey, edited by I. Ciufolini, D. Dominici, and L. Lusanna (World Scientific, Singapore, 2003), pp. 35–46.
Google Scholar

Citing Literature

Volume515, Issue10

November 2003

Pages 586-598

Vacuum electrodynamics of accelerated systems: Nonlocal Maxwell's equations

Abstract

References

Citing Literature

References

Information

About Wiley Online Library

Help & Support

Opportunities

Connect with Wiley

Vacuum electrodynamics of accelerated systems: Nonlocal Maxwell's equations

Abstract

References

Citing Literature

References

Related

Information