On interactions of static magnetic fields

Ömer Zor

doi:10.2478/jee-2019-0034

Abstract

We investigated the interaction energy of a Gilbertian magnetic charge with each of the “point” magnetic field sources. Finally we extrapolated a Dirac string can only be defined if there is at most one Dirac monopole in the medium. If there is only one Dirac monopole/string in the universe, the probability of detecting it is essential zero, such that Dirac’s monopole would remain just a “theorist’s particle”.

References

[1] P. A. M. Dirac, “Quantised Singularities in the Electromagnetic Field”, Proc. Roy. Soc. London vol. A133, pp. 60–72, 1931.10.1098/rspa.1931.0130
Search in Google Scholar Back to article
[2] P. A. M. Dirac, “The Theory of Magnetic Monopoles”, Phys. Rev. vol. 74, pp. 817–830, 1948.10.1103/PhysRev.74.817
Search in Google Scholar Back to article
[3] J. Schwinger, “Magnetic Charge and Quantum Field Theory”, Phys. Rev. vol. 144, pp. 1087–1093, 1966.10.1103/PhysRev.144.1087
Search in Google Scholar Back to article
[4] D. Zwanziger, “Local-Lagrangian Quantum Field Theory of Electric and Magnetic Charges”, Phys. Rev. D, vol. 3, pp. 880–891, 1971.10.1103/PhysRevD.3.880
Search in Google Scholar Back to article
[5] T. T. Wu and C. N. Yang, “Concept of Nonintegrable Phase Factors and Global Formulation of Gauge Fields”, Phys. Rev. D, vol. 12, pp. 3845–3857, 1975.10.1103/PhysRevD.12.3845
Search in Google Scholar Back to article
[6] H. J. Lipkin and M. Peshkin, “Magnetic Monopoles, Electric Currents, and Dirac Strings”, Phys. Lett. B, vol. 179, pp. 109–114, 1986.10.1016/0370-2693(86)90445-4
Search in Google Scholar Back to article
[7] H. J. Lipkin and M. Peshkin, “Magnetic Monopoles and Dipoles in Quantum Mechanics”, Ann. N. Y. Acad. Sci. vol. 480, pp. 210–216, 1986.10.1111/j.1749-6632.1986.tb12424.x
Search in Google Scholar Back to article
[8] E. Comay, “Interactions of Static Electric and Magnetic Fields”, Lett. Nuovo Cim. vol. 38, pp. 421–422, 1983.10.1007/BF02783636
Search in Google Scholar Back to article
[9] E. Comay, “A Difference Between Solenoid and Magnetic Spin”, J. Mag. Mag. Mat. vol. 43, pp. 59–60, 1984.10.1016/0304-8853(84)90274-9
Search in Google Scholar Back to article
[10] E. Comay, “Geometry and Charge-Monopole Systems”, Phys. Lett. B, vol. 187, pp. 111–114, 1987.10.1016/0370-2693(87)90081-5
Search in Google Scholar Back to article
[11] J. M. Getino, O. Rojo and H. Rubio, “Interaction between Electric Currents and Magnetic Monopoles”, Europhys. Lett. vol. 15, pp. 821–825, 1991.10.1209/0295-5075/15/8/003
Search in Google Scholar Back to article
[12] K. T. McDonald, “Comay’s Paradox: Do Magnetic Charges Conserve Energy?”, http://www.physics.princeton.edu/~mcdonald/examples/comay.pdf, July 16, 2015.
Search in Google Scholar Back to article

On interactions of static magnetic fields

Abstract

Paradigm

My account