Geometrical description of algebraic structures: Applications to Quantum Mechanics
arXiv:1209.4583 · doi:10.1063/1.3146238
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.
Old paper (2009) posted for archival purposes