Geometrical description of algebraic structures: Applications to Quantum Mechanics

Authors :: Cariñena, José F.
Ibort, Alberto
Marmo, Giuseppe
Morandi, Giuseppe
Source :: In the book: Geometry and Physics, AIP Conference Proceedings Series, 1130, pp. 47--59, F. Etayo, M. Fioravanti and R. Santamar\'{\i}a eds, (2009)
Publication Year :: 2012
Abstract: Geometrization of physical theories have always played an important role in their analysis and development. In this contribution we discuss various aspects concerning the geometrization of physical theories: from classical mechanics to quantum mechanics. We will concentrate our attention into quantum theories and we will show how to use in a systematic way the transition from algebraic to geometrical structures to explore their geometry, mainly its Jordan-Lie structure.<br />Comment: Old paper (2009) posted for archival purposes

Database :: arXiv
Journal :: In the book: Geometry and Physics, AIP Conference Proceedings Series, 1130, pp. 47--59, F. Etayo, M. Fioravanti and R. Santamar\'{\i}a eds, (2009)
Publication Type :: Report
Accession number :: edsarx.1209.4583
Document Type :: Working Paper
Full Text :: https://doi.org/10.1063/1.3146238

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