Abstract
We introduce a new notion of quantum white noise (QWN) first-order Wick differential operators with variable coefficients on the topological nuclear algebra L (F-theta(N'), F-theta*(N')) endowed with theWick product andwe give their chaos expansions in terms of the QWN-derivatives {D-z(-), D-z(+) : z is an element of N}. We also study a generalized transport equation associated to a class of QWN-first-order Wick differential operators.