Consider two dyons satisfying the Dirac-Schwinger-Zwanziger quantization condition given in exercise 3 , the minimum value for
Question:
Consider two dyons satisfying the Dirac-Schwinger-Zwanziger quantization condition given in exercise 3 , the minimum value for the integer, \(N=1\), occurring when one of the dyons has \(q_{1}=e, g_{1}=h / e\). Calculate the total relative force between the dyons.
Data From Exercise 3:-
In the presence of so-called dyons, particles that carry both electric and magnetic charges, the Dirac quantization condition for a particle with charges \(\left(q_{1}, g_{1}\right)\) and another particle with charges \(\left(q_{2}, g_{2}\right)\) is generalized to the Dirac-Schwinger-Zwanziger quantization condition
Prove this relation using a generalization of the argument for the quantization of the total angular momentum of system of two particles.
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