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
Authors e-mail:
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