Vol. 47
Latest Volume
All Volumes
PIERB 109 [2024] PIERB 108 [2024] PIERB 107 [2024] PIERB 106 [2024] PIERB 105 [2024] PIERB 104 [2024] PIERB 103 [2023] PIERB 102 [2023] PIERB 101 [2023] PIERB 100 [2023] PIERB 99 [2023] PIERB 98 [2023] PIERB 97 [2022] PIERB 96 [2022] PIERB 95 [2022] PIERB 94 [2021] PIERB 93 [2021] PIERB 92 [2021] PIERB 91 [2021] PIERB 90 [2021] PIERB 89 [2020] PIERB 88 [2020] PIERB 87 [2020] PIERB 86 [2020] PIERB 85 [2019] PIERB 84 [2019] PIERB 83 [2019] PIERB 82 [2018] PIERB 81 [2018] PIERB 80 [2018] PIERB 79 [2017] PIERB 78 [2017] PIERB 77 [2017] PIERB 76 [2017] PIERB 75 [2017] PIERB 74 [2017] PIERB 73 [2017] PIERB 72 [2017] PIERB 71 [2016] PIERB 70 [2016] PIERB 69 [2016] PIERB 68 [2016] PIERB 67 [2016] PIERB 66 [2016] PIERB 65 [2016] PIERB 64 [2015] PIERB 63 [2015] PIERB 62 [2015] PIERB 61 [2014] PIERB 60 [2014] PIERB 59 [2014] PIERB 58 [2014] PIERB 57 [2014] PIERB 56 [2013] PIERB 55 [2013] PIERB 54 [2013] PIERB 53 [2013] PIERB 52 [2013] PIERB 51 [2013] PIERB 50 [2013] PIERB 49 [2013] PIERB 48 [2013] PIERB 47 [2013] PIERB 46 [2013] PIERB 45 [2012] PIERB 44 [2012] PIERB 43 [2012] PIERB 42 [2012] PIERB 41 [2012] PIERB 40 [2012] PIERB 39 [2012] PIERB 38 [2012] PIERB 37 [2012] PIERB 36 [2012] PIERB 35 [2011] PIERB 34 [2011] PIERB 33 [2011] PIERB 32 [2011] PIERB 31 [2011] PIERB 30 [2011] PIERB 29 [2011] PIERB 28 [2011] PIERB 27 [2011] PIERB 26 [2010] PIERB 25 [2010] PIERB 24 [2010] PIERB 23 [2010] PIERB 22 [2010] PIERB 21 [2010] PIERB 20 [2010] PIERB 19 [2010] PIERB 18 [2009] PIERB 17 [2009] PIERB 16 [2009] PIERB 15 [2009] PIERB 14 [2009] PIERB 13 [2009] PIERB 12 [2009] PIERB 11 [2009] PIERB 10 [2008] PIERB 9 [2008] PIERB 8 [2008] PIERB 7 [2008] PIERB 6 [2008] PIERB 5 [2008] PIERB 4 [2008] PIERB 3 [2008] PIERB 2 [2008] PIERB 1 [2008]
2013-01-03
Relativistic Transformation of Magnetic Dipole Moment
By
Progress In Electromagnetics Research B, Vol. 47, 263-278, 2013
Abstract
We consider three different definitions of magnetic dipole moment for electrically neutral compact bunches of charged particles and show that, in general, they are not equivalent to each other with respect to their relativistic transformation. In particular, we prove that the "configurational" definition of magnetic dipole moment mc = 1/2∫v(r × j)dV (in the common designations) and its definition through generated electromagnetic field ("source" definition ms) or experienced force ("force" definition mf) lead to different relativistic transformations of mc and ms (mf). The results obtained shed light on the available disagreements with respect to relativistic transformation of a magnetic dipole moment, and they can be used in covariant formulation of classical electrodynamics in material media.
Citation
Alexander L. Kholmetskii, Oleg V. Missevitch, and Tolga Yarman, "Relativistic Transformation of Magnetic Dipole Moment," Progress In Electromagnetics Research B, Vol. 47, 263-278, 2013.
doi:10.2528/PIERB12110903
References

1. Panofsky, W. K. H. and M. Phillips, Classical Electricity and Magnetism, 2nd Ed., Wiley, New York, 1962.

2. Barut, A. O., Electrodynamics and Classical Theory of Fields & Particles, Dover, New York, 1980.

3. Jackson, J. D., Classical Electrodynamics, 3rd Ed., Wiley, New York, 1998.

4. Vekstein, G. E., "On the electromagnetic force on a moving dipole," Eur. J. Phys., Vol. 18, 113, 1997.
doi:10.1088/0143-0807/18/2/011

5. Fischer, G. P., "The electric dipole moment of a moving magnetic dipole," Am. J. Phys., Vol. 39, 1528, 1971.
doi:10.1119/1.1976708

6. Hnizdo, V., "Magnetic dipole moment of a moving electric dipole," Am. J. Phys., Vol. 80, 645, 2012.
doi:10.1119/1.4712308

7. Beiser, A., Perspectives of Modern Physics, McGraw-Hill, New York, 1969.

8. Ohanian, H. C., "What is spin?," Am. J. Phys., Vol. 54, 500, 1986.
doi:10.1119/1.14580

9. Vaidman, L., "Torque and force on a magnetic dipole," Am. J. Phys., Vol. 58, 978, 1990.
doi:10.1119/1.16260

10. Kholmetskii, A. L., O. V. Missevitch, and T. Yarman, "Electromagnetic force on a moving dipole," Eur. J. Phys., Vol. 32, 873, 2011.
doi:10.1088/0143-0807/32/4/003

11. Feynman, R. P., R. B. Leighton, and M. Sands, The Feynman Lectures on Physics, 2nd Ed., Addison-Wesley, Reading, MA, 1963.

12. Landau, L. D. and E. M. Lifshitz, The Classical Theory of Fields, 2nd Ed., Pergamon Press, New York, 1962.

13. Aharonov, Y., P. Pearle, and L. Vaidman, "Comment on `proposed Aharonov-Casher effect: Another example of Aharonov-Bohm effect arising from a classical lag' ," Phys. Rev., Vol. A37, 4052, 1988.

14. Kholmetskii, A. L., O. V. Missevitch, and T. Yarman, "Reply to comments on `electromagnetic force on a moving dipole'," Eur. J. Phys., Vol. 33, L7, 2012.
doi:10.1088/0143-0807/33/1/L03

15. Møller, C., The Theory of Relativity, Clarendon Press, Oxford, 1973.

16. Kholmetskii, A. L., O. V. Missevitch, and T. Yarman, "Different paths to some fundamental physical laws: Relativistic polarization of a moving magnetic dipole," Eur. J. Phys., Vol. 31, 1233, 2010.
doi:10.1088/0143-0807/31/5/022