Folding and unfolding quantum states Articles uri icon

publication date

  • March 2012

start page

  • 1

end page

  • 13


  • 2 (1260028)


  • 9

International Standard Serial Number (ISSN)

  • 0219-8878

Electronic International Standard Serial Number (EISSN)

  • 1793-6977


  • The reduction of a quantum system ("folding" a quantum system) is described as the reduction of its Lie&-Jordan Banach algebra of observables with respect to Lie&-Jordan Banach subalgebras and Jordan ideals. The space of states of the reduced Lie&-Jordan Banach algebra is described in terms of unreduced states ("unfolding" states) as well as the GNS construction. A few examples are discussed.


  • lie-jordan algebras; reduction; geometry quantum mechanics