stev2sph.m

Transforms the coefficients in front of Stevens operators, as produced by stevens.m, into the coefficients before the irreducible spherical tensor operators, as produced by irr_sph_ten.m function. Works up to 6th spherical rank. Source: http://dx.doi.org/10.1088/0022-3719/18/7/009

Syntax

    Bkq=stev2sph(k,Bkq)

Parameters

    k    - the spherical rank in question

   Bkq   - a column of 2k+1 real coefficients
           in front of Stevens operators, in
           increasing order of projections

Outputs

   Bkq   - a column of 2k+1 complex coefficients
           in front of irreducible spherical 
           tensor operators, in decreasing order
           of projections

Notes

K.W.H. Stevens has done a disservice to Magnetic Resonance by his ill-considered choice of basis operators for the crystal field theory he was developing. Choosing irreducible spherical tensors instead would have saved many days to nearly everybody in this field. At the moment, the community is stuck with the ridiculously bad definitions that do not follow the 3D rotation group - "for historical reasons". Someone would have created crystal field theory if Stevens hadn't - but he had poisoned it forever by doing it badly.

See also

stevens.m, irr_sph_ten.m, pauli.m, clebsch_gordan.m

SU(2), SO(3), and other groups

Version 2.8, authors: Ilya Kuprov, Elizaveta Suturina