# irr_sph_ten.m

From Spinach Documentation Wiki

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

[Lz,T_km]=m*T_km

## Contents

## Syntax

T=irr_sph_ten(mult,k)

## Arguments

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, p_superop.m

*Version 2.2, authors: Ilya Kuprov, Hannah Hogben*