Octupolar tensors are third order, completely symmetric and traceless tensors.Whereas in 2D an octupolar tensor has the same symmetries as an equilateral triangle andcan ultimately be identified with a vector in the plane, the symmetries that it enjoys in 3D arequite different, and only exceptionally reduce to those of a regular tetrahedron. By use of theoctupolar potential, that is, the cubic form associated on the unit sphere with an octupolartensor, we shall classify all inequivalent octupolar symmetries. This is a mathematical studywhich also reviews and incorporates some previous, less systematic attempts.
The Symmetries of Octupolar Tensors
Virga, Epifanio G.
2019-01-01
Abstract
Octupolar tensors are third order, completely symmetric and traceless tensors.Whereas in 2D an octupolar tensor has the same symmetries as an equilateral triangle andcan ultimately be identified with a vector in the plane, the symmetries that it enjoys in 3D arequite different, and only exceptionally reduce to those of a regular tetrahedron. By use of theoctupolar potential, that is, the cubic form associated on the unit sphere with an octupolartensor, we shall classify all inequivalent octupolar symmetries. This is a mathematical studywhich also reviews and incorporates some previous, less systematic attempts.File in questo prodotto:
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