sle_operators.m

Wigner D function basis set and rotation generators required by the gridfree.m context. The function returns matrix representations of the angular momentum operators in the basis of Wigner D functions, matrix representations of Wigner D function product operators, and a descriptor of the basis itself.

Syntax

    [Lx,Ly,Lz,D,space_basis]=sle_operators(max_rank,int_ranks)

Parameters

    max_rank   - maximum L rank for Wigner D functions

    int_ranks  - row vector of interaction ranks for which
                 product superoperators are required; may
                 be empty if only rotation generators are
                 needed

Outputs

    space_basis  -   lab space basis set descriptor, in
                     [L M N] format, giving indices of
                     each Wigner function in the basis.

    Lx,Ly,Lz  - representations of lab space rotation
                generators in the Wigner function basis,
                to be used in the building of the lab
                space diffusion operator.

    D         - a cell array with one element per interac-
                tion rank r in int_ranks, each a cell array
                of Wigner function product superoperators,
                corresponding to multiplication by D[r,M,N]
                of the basis Wigner functions, to be used
                in the building of the spin Hamiltonian
                operator; D{r} has dimensions (2r+1)x(2r+1)

Notes

Automatic caching is implemented - the function would not recompute operator sets that it can find on disk.

Building product superoperators for interaction ranks other than 2 calls clebsch_gordan.m, which requires the Java virtual machine; cached operator sets load without it.

See also

wigner.m, gridfree.m, v2fplanck.m, irr_sph_ten.m, clebsch_gordan.m, wigner_3j.m, wigner_6j.m, add_spins.m, cg_fast.m, comm.m, hilb2liouv.m, ist_product_table.m, lorentz.m, mat2sphten.m, multipack.m, pauli.m, perm_group.m, rocomm.m, rwalk.m, sorensen.m, spher_harmon.m, sphten2mat.m, stev2sph.m, stevens.m, superop.m, twospinist.m, Kernel_utilities

Version 2.8, authors: Ilya Kuprov, Luke Edwards