Electromagnetic coupling of strongly nonlocal quantum mechanics
Although standard quantum mechanics has some nonlocal features, the probability current of the Schrodinger equation is locally conserved, and this allows minimal electromagnetic coupling. For some important extensions of the Schrodinger equation, however, the probability current is not locally conserved. We show that in these cases the correct electromagnetic coupling requires a relatively simple extension of Maxwell theory which has been known for some time and recently improved by covariant integration of a scalar degree of freedom. We discuss some general properties of the solutions and examine in particular the case of an oscillating dipolar source. Remarkable mathematical and physical differences emerge with respect to Maxwell theory, as a consequence of additional current terms present in the equations for. del center dot E and. del center dot B. Several possible applications are mentioned.
URI
http://dx.doi.org/10.1016/j.physb.2017.08.042https://www.sciencedirect.com/science/article/pii/S0921452617305276
https://bia.unibz.it/handle/10863/12212
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