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arXiv · 1209.4583

Geometrical description of algebraic structures: Applications to Quantum Mechanics

José F. Cariñena·Alberto Ibort·Giuseppe Marmo·Giuseppe Morandi
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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.

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José F. Cariñena, Alberto Ibort, Giuseppe Marmo, Giuseppe Morandi. 2012-09-20. Geometrical description of algebraic structures: Applications to Quantum Mechanics. https://doi.org/10.1063/1.3146238

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