# Comment on Jackson's analysis of electric charge quantization due to interaction with Dirac's magnetic monopole

@article{Mansuripur2016CommentOJ, title={Comment on Jackson's analysis of electric charge quantization due to interaction with Dirac's magnetic monopole}, author={Masud Mansuripur}, journal={Scientia Iranica}, year={2016}, volume={23}, pages={2874-2880} }

In J.D. Jackson's Classical Electrodynamics textbook, the analysis of Dirac's charge quantization condition in the presence of a magnetic monopole has a mathematical omission and an all too brief physical argument that might mislead some students. This paper presents a detailed derivation of Jackson's main result, explains the significance of the missing term, and highlights the close connection between Jackson's findings and Dirac's original argument.Β

## 2 Citations

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- 2018

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## References

SHOWING 1-9 OF 9 REFERENCES

### Observation of Dirac monopoles in a synthetic magnetic field

- PhysicsNature
- 2014

These real-space images provide conclusive and long-awaited experimental evidence of the existence of Dirac monopoles, and provides an unprecedented opportunity to observe and manipulate these quantum mechanical entities in a controlled environment.

### The Anomalous Hall Effect and Magnetic Monopoles in Momentum Space

- PhysicsScience
- 2003

It is shown that the magnetic monopole can appear in the crystal momentum space of solids in the accessible low-energy region in the context of the anomalous Hall effect.

### Magnetic monopoles in spin ice

- PhysicsNature
- 2008

This work proposes that magnetic monopoles emerge in a class of exotic magnets known collectively as spin ice: the dipole moment of the underlying electronic degrees of freedom fractionalises into monopoles, which would account for a mysterious phase transition observed experimentally in spin ice in a magnetic field.

### Theoretical and experimental status of magnetic monopoles

- Physics
- 2001

The Tevatron has inspired new interest in the subject of magnetic monopoles. First there was the 1998 D0 limit on the virtual production of monopoles, based on the theory of Ginzburg andβ¦

### Quantised Singularities in the Electromagnetic Field

- Physics
- 1931

The steady progress of physics requires for its theoretical formulation a mathematics that gets continually more advanced. This is only natural and to be expected. What, however, was not expected byβ¦

### Cosmology in the Laboratory: Defect Dynamics in Liquid Crystals

- PhysicsScience
- 1991

Experiments described here support the simple "one-scale" model for cosmic string evolution, as well as some qualitative predictions of string statistical mechanics.

### Classical Electrodynamics, 3 edition, Wiley, New York (1999); see pages 278-280 and also problems

- 1999

### When οΏ½ happens to reside on the string, its distance to the observation point will be

### defect dynamics in liquid crystals", Science, 251(4999), pp

- 1336-1342
- 1991