- March 2012
- 2 (1260028)
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- 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