International Journal of Geometric Methods in Modern Physics

FOLDING AND UNFOLDING QUANTUM STATES

Leonardo Ferro, Alberto Ibort

Published Mar 1, 2012• 2 citations

Abstract

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.

DOI: 10.1142/s0219887812600286

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