Abstract
In this paper our goal is to study the quantum decomposition associated with the (p, q)-deformed square white noise processes based on the the Fock space Gamma(p,q)(H) constructed via a generalized (p, q)-deformed trace. More precisely, based on the orthogonalization of polynomials of noncommutative (p, q)-square white noise omega(t) := partial derivative(*2)(t) + partial derivative(2)(t), we give the chaos property of the noncommutative L-2-space with respect to the vacuum expectation tau.