We discuss the relationship between exact solvability of the Schroedinger e
quation, due to a spatially dependent mass, and the ordering ambiguity. Som
e examples show that, even in this case, one can find exact solutions. Furt
hermore, it is demonstrated that operators with linear dependence on the mo
mentum are nonambiguous. (C) 2000 Elsevier Science B.V. All rights reserved
.