Geometrical description of algebraic structures: Applications to Quantum Mechanics

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

Published 2012-09-20Version 1

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.