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
	Department of Medical Biochemistry
	Southern Illinois University
	Carbondale, IL  62901

	jshriver@som.siu.edu

--------------------------------------------------------------------