Computer-aided methods can considerably simplify the use of the product ope
rator formalism for theoretical analysis of NMR phenomena, which otherwise
becomes unwieldy for anything but simple spin systems and pulse sequences.
In this report, two previously available programming approaches using symbo
lic algebra (J. Shriver, Concepts Magn. Reson. 4, 1-33, 1992) and numerical
simulation using object-oriented programming (S. A. Smith, T. O. Levante,
B. H. Meier, and R. R. Emst, J. Magn. Reson. A 106, 75-105, 1994) have been
extended to include the use of gradient operators for simulation of spatia
lly localized NMR spectroscopy and gradient coherence selection. These meth
ods are demonstrated using an analysis of the response of an AX(3) spin sys
tem to the STEAM pulse sequence and verified with experimental measurements
on lactate. (C) 1999 Academic Press.