Nonradiating sources, the Aharonov-Bohm effect, and the question of measurability of electromagnetic potentials

Radio Science

Volumn 37, Issue 6, 2002, Pages 19-1-19-10

  Marengo, Edwin A ^a,b   Ziolkowski, Richard W ^a  

^a University of Arizona   (United States)

^b UNIVERSIDAD TECNOLÓGICA DE PANAMÁ   (Panama)

Author keywords

Aharonov Bohm effect; Electromagnetic potentials; Nonradiating sources

Indexed keywords

COMMUNICATION; ELECTRODYNAMICS; MATHEMATICAL MODELS; QUANTUM THEORY; REMOTE SENSING;

ELECTROMAGNETIC POTENTIALS;

ELECTROMAGNETIC FIELD EFFECTS;

EID: 0036874044     PISSN: 00486604     EISSN: None     Source Type: Journal    
DOI: 10.1029/2001rs002551     Document Type: Article

References (16)

1. Afanasiev, G. N., and Y. P. Stepanovsky, The electromagnetic field of elementary time-dependent toroidal sources, J. Phys. A Math. Gen., 28, 4565, 1995.
2. Aharonov, Y., and D. Bohm, Significance of electromagnetic potentials in the quantum theory, Phys. Rev., 115, 485, 1959.
3. Bleistein, N., and J. K. Cohen, Nonuniqueness in the inverse source problem in acoustics and electromagnetics, J. Math. Phys., 18, 194, 1977.
4. Bohm, D., and M. Weinstein, The self-oscillations of a charged particle, Phys. Rev., 74, 1789, 1948.
5. Carron, N. J., On the fields of a torus and the role of the vector potential, Am. J. Phys., 63, 717, 1995.
6. Devaney, A. J., and E. Wolf, Radiating and nonradiating classical current distributions and the fields they generate, Phys. Rev. D, 8, 1044, 1973.
7. Gelinas, R. C., U. S. Patents 4 429 280; 4 429 288; 4 432 098; and 4 447 779, U. S. Patent and Trademark Off., Washington, D. C., 1984.
8. Goedecke, G. H., Classically radiationless motions and possible implications for quantum theory, Phys. Rev. B, 135, 281, 1964.
9. Harris, E. G., The gravitational Aharonov-Bohm effect with photons, Am. J. Phys., 64, 378, 1996.
10. Jackson, J. D., Classical Electrodynamics, John Wiley, New York, 1975.
11. Lee, B., E. Yin, T. K. Gustafson, and R. Chiao, Analysis of Aharonov-Bohm effect due to time-dependent vector potentials, Phys. Rev. A, 45, 4319, 1992.
12. Marengo, E. A., and R. W. Ziolkowski, On the radiating and nonradiating components of scalar, electromagnetic and weak gravitational sources, Phys. Rev. Lett., 83, 3345, 1999.
13. Marengo, E. A., A. J. Devaney, and R. W. Ziolkowski, New aspects of the inverse source problem with far-field data, J. Opt. Soc. Am. A, 16, 1612, 1999.
14. Müller, C., Foundations of the Mathematical Theory of Electromagnetic Waves, Springer-Verlag, New York, 1969.
15. Peshkin, M., and A. Tonomura, The Aharonov-Bohm effect, in Lecture Notes in Physics, vol. 340, edited by H. Araki et al., Springer-Verlag, New York, 1989.
16. Van Bladel, J., A discussion of Helmholtz theorem, Electromagnetics, 13, 95, 1993.