Irr sph ten.m

Single-spin irreducible spherical tensor operators T(k,m). The resulting spherical tensors are normalised in such a way as to obey the following commutation relation:

    [Lz,T_km]=m*T_km

Syntax

    T=irr_sph_ten(mult,k)

Parameters

    mult - multiplicity of the spin in question

       k - irreducible spherical tensor rank (optional)

Outputs

       T - a two-argument call returns a cell array of 
           tensors of rank k in the order of decreasing
           projection. A single argument call produces
           tensors of all ranks and puts them into a 
           cell array in the order of increasing rank.

Notes

Operator normalization in spin dynamics is a thorny question. The only way to make the resulting formalism independent of the total spin quantum number is to impose identical commutation relations rather than equal matrix norms.

See also

pauli.m, ist_product_table.m, stevens.m, stev2sph.m, superop.m, add_spins.m, cg_fast.m, clebsch_gordan.m, comm.m, hilb2liouv.m, lorentz.m, mat2sphten.m, multipack.m, perm_group.m, rocomm.m, rwalk.m, sle_operators.m, sorensen.m, spher_harmon.m, sphten2mat.m, twospinist.m, wigner.m, wigner_3j.m, wigner_6j.m, Kernel_utilities

Version 2.8, authors: Ilya Kuprov, Hannah Hogben