Geometrical Description of Aglebraic Structures: Applications to Quantum Mechanics Articles uri icon

publication date

  • May 2009

start page

  • 47

end page

  • 59

volume

  • 1130

International Standard Serial Number (ISSN)

  • 0094-243X

Electronic International Standard Serial Number (EISSN)

  • 1551-7616

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