Summary
A new expression for the force and torque on a magnetic dipole, with a magnetic moment changing with time and in the presence of time-varying electromagnetic fields produced by a charge distributionq, is derived. The force, which has relevance in the Aharonov-Bohm and Aharonov-Casher effects, is calculated for both conducting and non-conducting magnetic dipoles making use of the general stress tensor which includes the internal mechanical stresses of the dipole. The role played by the action and reaction principle in the interaction between a magnetic dipole and a charge in relative motion is also investigated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. D. Jackson:Classical Electrodynamcis, 2nd edition (J. Wiley and Sons, New York, N.Y., 1975), Chapt. 5.
T. H. Boyer:Am. J. Phys.,56, 688 (1988);Phys. Rev. A,36, 5083 (1987).
G. Spavieri andG. Cavalleri:Europhys. Lett.,18, 301 (1992).
G. Spavieri andG. Cavalleri: in preparation.
Y. Aharonov, P. Pearle andL. Vaidman:Phys. Rev. A,37, 4052 (1988).
L. Vaidman:Am. J. Phys.,58, 978 (1990).
Thehidden momentum was first introduction byW. Shockley andR. R. James:Phys. Rev. Lett.,18, 876 (1967).
Y. Aharonov andA. Casher:Phys. Rev. Lett.,54, 2469 (1985).
Y. Aharonov andD. Bohm:Phys. Rev.,115, 48 (1959). See also the review byS. Olariu andJ. Jovitzu Popescu:Rev. Mod. Phys.,57, 339, (1985).
T. H. Boyer:Phys. Rev. D,8, 1667 (1973);Phys. Rev. D,8, 1680 (1973);Nuovo Cimento B,100, 685 (1987);Phys. Rev. A,36, 5083 (1987).
G. Cavalleri, G. Spavieri andG. Spinelli:Nuovo Cimento B,53, 385 (1979). For themissing torque see alsoG. Spavieri:Found. Phys. Lett.,3, 291 (1990).
On the action and reaction principle in SR and for applications of the equation of stressed media see:G. Cavalleri, G. Spavieri andG. Spinelli:Nuovo Cimento B,102, 498 (1988).
I. Bialynichi-Birula:Phys. Rev. D,28, 2114 (1982).
L. Page andN. I. Adams:Am. J. Phys.,13, 141 (1945).
See for exampleW. G. V. Rosser:An Introduction to the Theory of Relativity (Butterworths, London, 1964), sect. 7.4–7.5.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Spavieri, G. A non-standard expression for the force and torque on a magnetic dipole. Nuovo Cim B 109, 45–57 (1994). https://doi.org/10.1007/BF02723729
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02723729