Abstract
By using a unitary isomorphism mu(p) between the interacting Fock space F-P (H) and the Pascal white noise space L-2(S', Lambda(p)), we define a quantum Pascal white noise W-p (t) and we study its representation in terms of the S -transform. As application, we will give a unitary equivalent description of the quantum field realized in a weighted Fock space and we identify the representation of the square white noise algebra with the Pascal quantum field. (C) 2017 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.