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On the classical and quantum evolution of Lagrangian half-forms in phase space
Responsible organisation
1999 (English)In: ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE, ISSN 0246-0211, 547-573 p.Article in journal (Refereed) Published
Abstract [en]

The local expressions of a Lagrangian half-form on a quantized Lagrangian submanifold of phase space are the wavefunctions of quantum mechanics. We show that one recovers Maslov's asymptotic formula for the solutions to Schrodinger's equation if one transports these half-forms by the flow associated with a Hamiltonian H. We then consider the case when the Hamiltonian flow is replaced by the flow associated with the Bohmian, and are led to the conclusion that the use of Lagrangian half-forms leads to a quantum mechanics on phase space. (C) Elsevier, Paris.

Place, publisher, year, edition, pages
PARIS: GAUTHIER-VILLARS/EDITIONS ELSEVIER , 1999. 547-573 p.
National Category
Geometry
Identifiers
URN: urn:nbn:se:bth-8143ISI: 000081314300003Local ID: oai:bth.se:forskinfoB5A383822077AACFC12575B0002121FBOAI: oai:DiVA.org:bth-8143DiVA: diva2:835832
Available from: 2012-09-18 Created: 2009-05-08 Last updated: 2015-06-30Bibliographically approved

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
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