Geometrical description of algebraic structures: Applications to Quantum Mechanics
Mathematical Physics
2015-06-11 v1 math.MP
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.
Keywords
Cite
@article{arxiv.1209.4583,
title = {Geometrical description of algebraic structures: Applications to Quantum Mechanics},
author = {José F. Cariñena and Alberto Ibort and Giuseppe Marmo and Giuseppe Morandi},
journal= {arXiv preprint arXiv:1209.4583},
year = {2015}
}
Comments
Old paper (2009) posted for archival purposes