Spherical tensor representation
Copyright policy )Spherical tensor representation
The equivalence of "irreducibility" is discussed as characterizing symmetric and traceless tensors on the one hand and group-theoretica l properties on the other. The relation between the two points of view is shown explicitly by expressing the tensorial spherical harmonics in terms of scalar spherical harmonics and vice versa. Thus the connection between spherical and Cartesian tensor components is established, allowing a tensorial formulation of the Wigner-Eckart theorem.
- University of Duesseldorf Germany
Applications of group representations to physics and other areas of science, Differential geometric aspects in vector and tensor analysis, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Wigner- Eckart theorem, spherical harmonics, irreducible tensors, Spherical harmonics, spherical tensors, Vector and tensor algebra, theory of invariants
Applications of group representations to physics and other areas of science, Differential geometric aspects in vector and tensor analysis, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Wigner- Eckart theorem, spherical harmonics, irreducible tensors, Spherical harmonics, spherical tensors, Vector and tensor algebra, theory of invariants
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