Abstract
Each physical quantity is a particular type of a line group tensor, i.e., it is changed in a specific way when line group transformations are applied. Quite generally, the transformation is described by a representation of a line group, and its irreducible components single out irreducible tensors. One important class is various functions, in particular quantum mechanical wave functions, among which symmetry-adapted basis consists of harmonics and covariants. Also, irreducible components of polar and axial vectors and second-rank tensors are found.
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References
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Damnjanović, M., Milošsević, I. (2010). Tensors. In: Line Groups in Physics. Lecture Notes in Physics, vol 801. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11172-3_5
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DOI: https://doi.org/10.1007/978-3-642-11172-3_5
Publisher Name: Springer, Berlin, Heidelberg
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