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- W2088178616 abstract "The case for representing axial tensor properties by polar tensors of a higher rank is examined with due reference to historical background. It is found that those properties which are determined by permutation symmetry, e.g. the determination of the number of independent components, require the latter description while the former description is equivalent from the point of view of all properties depending solely on spatial symmetry. The Levi-Civita tensor, which was previously thought to be the analogue of the vector product operator, is replaced by three operators, which yield the correct parity for the vector product, and their construction is described. It is also shown that in certain cases an irreducible tensor component need not possess its full permutation symmetry to be nonzero, contrary to previous belief. Magnetic moments, angular momenta, the gyration tensor and magnetic susceptibility are discussed in detail." @default.
- W2088178616 created "2016-06-24" @default.
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- W2088178616 date "2009-06-18" @default.
- W2088178616 modified "2023-09-25" @default.
- W2088178616 title "On the nature of axial tensors" @default.
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- W2088178616 doi "https://doi.org/10.1002/qua.560050866" @default.
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