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On the notion of phase in mechanics
Responsible organisation
2004 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, 7297-7314 p.Article in journal (Refereed) Published
Abstract [en]

The notion of phase plays an essential role in both semiclassical and quantum mechanics. But what is exactly a phase, and how does it change with time? It turns out that the most universal definition of a phase can be given in terms of Lagrangian manifolds by exploiting the properties of the Poincare-Cartan form. Such a phase is defined, not in configuration space, but rather in phase-space and is thus insensitive to the appearance of caustics. Surprisingly enough, this approach allows us to recover the Heisenberg-Weyl formalism without invoking commutation relations for observables.

Place, publisher, year, edition, pages
BRISTOL: IOP PUBLISHING LTD , 2004. 7297-7314 p.
National Category
Geometry
Identifiers
URN: urn:nbn:se:bth-8142DOI: 10.1088/0305-4407/37/29/008ISI: 000223254200012Local ID: oai:bth.se:forskinfo64E8863AB995863FC12575B0002123AEOAI: oai:DiVA.org:bth-8142DiVA: diva2:835831
Available from: 2012-09-18 Created: 2009-05-08 Last updated: 2015-06-30Bibliographically approved

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CiteExportLink to record
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