A Representation of Quantum Measurement in Order-Unit Spaces

Details A Representation of Quantum Measurement in Order-Unit Spaces A Representation of Quantum Measurement in Order-Unit Spaces

2010-01-15

arxiv.org/abs/1001.3633v1

2008 Found. Phys. 38, 783 - 795

Physics

Mathematical Physics

12 pages, the original publication is available at htt://www.springerlink.com

Scientific paper

10.1007/s10701-008-9236-y

A certain generalization of the mathematical formalism of quantum mechanics beyond operator algebras is considered. The approach is based on the concept of conditional probability and the interpretation of the Lueders - von Neumann quantum measurement as a probability conditionalization rule. A major result shows that the operator algebras must be replaced by order-unit spaces with some specific properties in the generalized approach, and it is analyzed under which conditions these order-unit spaces become Jordan algebras. An application of this result provides a characterization of the projection lattices in operator algebras.

Affiliated with

Also associated with

No associations

Rating

A Representation of Quantum Measurement in Order-Unit Spaces 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 A Representation of Quantum Measurement in Order-Unit Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Representation of Quantum Measurement in Order-Unit Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-88561