Summary
We introduce the gauge field by the Lie-isotopic lifting of the Hilbert space. Our method is different from other’s in that the commutator between the isotropic element and the generators of the Lie algebra does not vanish in our case, but vanishes in other cases. Our method uses the Lie-isotopic lifting of the Hilbert space, but others do not use it.
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References
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Nishioka, M. An introduction of gauge field by the Lie-isotopic lifting of the Hilbert space. Lett. Nuovo Cimento 40, 309–312 (1984). https://doi.org/10.1007/BF02751807
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DOI: https://doi.org/10.1007/BF02751807