Commuting Position and Momentum Operators, Exact Decoherence and Emergent Classicality

Details Commuting Position and Momentum Operators, Exact Decoherence and Emergent Classicality Commuting Position and Momentum Operators, Exact Decoherence and Emergent Classicality

2005-07-14

arxiv.org/abs/quant-ph/0507136v1

Phys Rev A 72, 042109 (2005)

Physics

Quantum Physics

28 pages, RevTex

Scientific paper

10.1103/PhysRevA.72.042109

Inspired by an old idea of von Neumann, we seek a pair of commuting operators X,P which are, in a specific sense, "close" to the canonical non-commuting position and momentum operators, x,p. The construction of such operators is related to the problem of finding complete sets of orthonormal phase space localized states, a problem severely constrained by the Balian-Low theorem. Here these constraints are avoided by restricting attention to situations in which the density matrix is reasonably decohered (i.e., spread out in phase space). Commuting position and momentum operators are argued to be of use in discussions of emergent classicality from quantum mechanics. In particular, they may be used to give a discussion of the relationship between exact and approximate decoherence in the decoherent histories approach to quantum theory.

Affiliated with

Also associated with

No associations

Rating

Commuting Position and Momentum Operators, Exact Decoherence and Emergent Classicality does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Commuting Position and Momentum Operators, Exact Decoherence and Emergent Classicality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Commuting Position and Momentum Operators, Exact Decoherence and Emergent Classicality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-575845