Quantum Pascal white noise fields

By using a unitary isomorphism UP between the interacting Fock space FP(H) and the Pascal white noise space L2(S′,ΛP), we define a quantum Pascal white noise WP(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.