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On the classical an...
On the classical and quantum evolution of Lagrangian half-forms in phase space
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Gosson, Maurice de (author)
- PARIS : GAUTHIER-VILLARS/EDITIONS ELSEVIER, 1999
- 1999
- English.
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In: ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE. - PARIS : GAUTHIER-VILLARS/EDITIONS ELSEVIER. - 0246-0211. ; , s. 547-573
- Related links:
-
https://urn.kb.se/re...
Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
Publication and Content Type
- ref (subject category)
- art (subject category)
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