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  A quantum is a complex structure on classical phase space

Isidro, J. M. (2005). A quantum is a complex structure on classical phase space. International Journal of Geometric Methods in Modern Physics, 2(4), 633-655.

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 Urheber:
Isidro, Jose M.1, Autor
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Schlagwörter: quantum mechanics; classical phase space; complex-analytic functions; duality
 Zusammenfassung: Duality transformations within the quantum mechanics of a finite number of degrees of freedom can be regarded as the dependence of the notion of a quantum, i.e., an elementary excitation of the vacuum, on the observer on classical phase space. Under an observer we understand, as in general relativity, a local coordinate chart. While classical mechanics can be formulated using a symplectic structure on classical phase space, quantum mechanics requires a complex-differentiable structure on that same space. Complex-differentiable structures on a given real manifold are often not unique. This article is devoted to analysing the dependence of the notion of a quantum on the complex-differentiable structure chosen on classical phase space. For that purpose we consider Kähler phase spaces, endowed with a dynamics whose Hamiltonian equals the local Kähler potential.

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Sprache(n): eng - English
 Datum: 2005-08
 Publikationsstatus: Erschienen
 Seiten: -
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: eDoc: 251050
ISI: 000231775300007
 Art des Abschluß: -

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Titel: International Journal of Geometric Methods in Modern Physics
  Alternativer Titel : Int. J. Geom. Methods Mod. Phys.
Genre der Quelle: Zeitschrift
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: -
Seiten: - Band / Heft: 2 (4) Artikelnummer: - Start- / Endseite: 633 - 655 Identifikator: ISSN: 0219-8878