Corrfun.m

Wigner matrix element correlation function under isotropic, axial, and rhombic rotational diffusion.

Syntax

    [weights,rates,states]=corrfun(spin_system,n,k,m,p,q)

Parameters

    spin_system  - the output of create.m to which ro-
                   tational correlation time should have 
                   been supplied. For a single correlation
                   time, the isotropic rotational diffusi-
                   on model is used; a vector with two
                   correlation times is assumed to be cor-
                   relation times for rotation around and
                   perpendicularly to the main axis res-
                   pectively); a vector with three corre-
                   lation times is assumed to be the cor-
                   relation times for the rotation around
                   the XX, YY and ZZ direction respecti-
                   vely of the rotational diffusion tensor.

     n,k,m,p,q   - the five indices found in the ensemble-
                   averaged Wigner function product:

                         <D{n}{k,m}(0)*D{n}{p,q}(t)'>

Outputs

     weights     - a cell array (one element for each che-
                   mical species) of vectors listing the 
                   weights of the exponential components
                   of the decays

     rates       - a cell array (one element for each che-
                   mical species) of vectors listing the 
                   decay rates (negative numbers) of the
                   exponential components of the decays

     states      - a cell array (one element for each che-
                   mical species) of logical vectors indi-
                   cating which states in the basis set
                   belong to which chemical species

Notes

1. Wigner function indices are sorted in descending order, that is, k=[1 2 3 4 5] in the input represents [2 1 0 -1 -2] for n=2.
2. Second rank rotational correlation times (as per Spinach input) will be updated automatically if other ranks are specified.

See also

relaxation.m, lindbladian.m, rwalk.m, create.m, adelim.m, blinv.m, blprod.m, fdhess.m, fdkup.m, fdlap.m, fdmat.m, fdvec.m, fdweights.m, fpl2phan.m, fpl2rho.m, hydrodynamics.m, interpmat.m, magpump.m, ngce.m, oscillator.m, overwound.m, phan2fpl.m, qxspen_kernel.m, rlx_scalar.m, rlx_split.m, rlx_t1_t2.m, sec2kite.m, spden.m, Kernel_utilities

Version 2.3, authors: Ilya Kuprov