Difference between revisions of "Irr sph ten.m"
(→See also) |
|||
| Line 1: | Line 1: | ||
| − | {{DISPLAYTITLE:irr_sph_ten.m}} | + | {{DISPLAYTITLE:irr_sph_ten.m}} __NOTOC__ |
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: | 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: | ||
Revision as of 10:02, 25 July 2023
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
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
SU(2), SO(3), and other groups
Version 2.8, authors: Ilya Kuprov