# NOTES on using the Mathematica Product Operator Notebooks

These Notebooks were written on a 19" monitor. We have recently

become aware that loading them on a computer with a small screen

(e.g. an SE) can result in line returns being entered which are

interpreted as multiplication. Even worse, commas can be removed

leaving a space, again implying multiplication. If you encounter

problems with these programs, this is most likely the reason.

Two Product Operator Notebooks are supplied here: Prod_Op_Cart

and Prod_Op_Sphere. The first uses product operators in the Cartesian

basis and the latter in the spherical basis. Documentation is included as

text in the notebooks themselves. Examples are included with both

programs in the individual command sections and at the end of the

programs at the beginning of the Workspace.

The notebooks are used by first initializing them, followed by entering

the commands in an interactive manner in the Workspace at the end

of the notebook. Both require that a working version of Mathematica

be installed. (They have been written using Mathematica version 1.2

and have been tested with version 2.03.)

Prod_Op_Cart was described in a paper in J. Magn. Res. 94, 612 (1991).

It contains a fairly large list of algebraic rules that continues to evolve

as we use the notebook. We have not taken the time to optimize this

list since we are running with a Silicon Graphics kernel. If you are

running on a Macintosh with a standard version of Mathematica, you

will find that use of the algebraic rules can become quite slow. If you

know of some tricks to make this run faster, we would certainly like to

hear about them.

Prod_Op_Sphere is adapted from Nakashima and McClung's paper (J.

Magn. Res. 70, 187 (1986)) and is described in a paper by myself that will

appear in the January issue of Concepts in Magnetic Resonance entitled

"Product Operators and Coherence Transfer in Multiple Pulse NMR

Experiments". A much smaller list of algebraic rules is needed here.

Please send any comments or modifications that you have found to be

useful to:

John W. Shriver

Chemistry Department

University of Alabama Huntsville

Huntsville, AL 35899

shriverj@uah.edu