Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778850 | Indagationes Mathematicae | 2017 | 15 Pages |
Abstract
By using a unitary isomorphism UP between the interacting Fock space FP(H) and the Pascal white noise space L2(Sâ²,ÎP), 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Habib Rebei, Anis Riahi, Hafedh Rguigui,