Spherical Tensor Operators

Ingvar Lindgren, John Morrison

D. A. Sadovskiı́

S. J. Ashby, Graham J. Bowden, M. J. Prandolini

J -M Normand, Jacques Raynal

Explicit formulae that relate Cartesian and spheric components of irreducible Cartesian tensors are derived. For the description of spin-s particles, explicit formulae for the Cartesian tensors and the spherical tensors are given in terms of symmetrised products of spin operators.

Robert Gilmore

The Q and P-representatives for the irreducible spherical tensor operators Y M L (J) are proportional to the corresponding spherical harmonics Y M L ( theta , phi ). In the coherent state basis associated with the (2j+1)-dimensional unitary irreducible representation of SU(2), the proportionality factors are (2j)!/(2j-L)!2 L and (2j+1+L)!/(2j+1)!2 L , respectively.

Edgard Elbaz