Phase Space Quantization and the Uncertainty Principle,
| Document type: | Journal Articles |
|---|---|
| Article type: | Original article |
| Peer reviewed: | Yes |
| Author(s): | Maurice de Gosson |
| Title: | Phase Space Quantization and the Uncertainty Principle, |
| Journal: | Physics Letters : Section A |
| Year: | 2003 |
| Volume: | 317 |
| Issue: | 5-6 |
| Pagination: | 365-369 |
| ISSN: | 0375-9601 |
| Publisher: | NA |
| City: | NA |
| URI/DOI: | 10.1016/j.physleta.2003.09.008 |
| ISI number: | 000186248100005 |
| 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/ |
| Authors e-mail: | mdg@bth.se |
| Language: | English |
| Abstract: | We replace the usual heuristic notion of quantum cell by that of 'quantum blob', which does not depend on the dimension of phase space. Quantum blobs, which are defined in terms of symplectic capacities, are canonical invariants. They allow us to prove an exact uncertainty principle for semiclassically quantized Hamiltonian systems. (C) 2003 Elsevier B.V. All rights reserved. |
| Summary in Swedish: | symplektisk topologi |
| Subject: | Mathematics\Geometry Mathematics\Probability and Statistics |
| Keywords: | symplectic topology, uncertainty principle |
