Summary
Standard quantum-mechanical procedure, contrary to recent usage, does not require the generators of rotation, space translation and time translation to be observables. Thus, the rotation generator of a spinless charged particle in a particle-flux tube composite can be identified with the canonical angular momentum whether or not the vector potential field is irrotational and independent of the dimensionality of the geometric configuration.
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Silverman, M.P. Rotation of a spinless particle in the presence of an electromagnetic potential. Lett. Nuovo Cimento 41, 509–512 (1984). https://doi.org/10.1007/BF02748394
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DOI: https://doi.org/10.1007/BF02748394