Abstract
In this paper the quantum decomposition associated with the noncommutative analog of Gaussian white noise processes for the relation of the Chakrabarti-Jagannathan deformed quantum oscillator algebra is investigated. The constructed decomposition with the (p, q)-deformed commutation relations of the pointwise creation and annihilation operators is used to solve the problem of normal wick ordering for white noise operators on the (p, q)-deformed Fock space.