Symplectic quantam cells and Wigner and Husimi functions
| Document type: | Journal Articles |
|---|---|
| Article type: | Original article |
| Peer reviewed: | Yes |
| Author(s): | Maurice de Gosson |
| Title: | Symplectic quantam cells and Wigner and Husimi functions |
| Journal: | Bulletin des Sciences Mathematiques |
| Year: | 2005 |
| Volume: | 129 |
| Issue: | 3 |
| Pagination: | 211-226 |
| ISSN: | 0007-4497 |
| Publisher: | Elsevier |
| URI/DOI: | 10.1016/j.bulsci.2004.06.003 |
| Organization: | Blekinge Institute of Technology |
| Department: | Department of Health, Science and Mathematics (Institutionen för hälso- och naturvetenskap) Dept. of Health, Science and Mathematics S-371 79 Karlskrona +46 455 38 50 00 http://www.bth.se/ihn/ |
| Language: | English |
| Abstract: | We propose a definition of quantum cells which is invariant under symplectic transformations. We use this notion to the study of positivity properties of the Wigner and Husimi functions, which allows us to precise and to improve known results. © 2004 Elsevier SAS. Tous droits réservés. |
| Subject: | Mathematics\Geometry |
| Keywords: | Quantum cell, symplectique capacity, Wigner, Husimi |
