Sets of states and extreme points

Journal Article · Sun Jan 01 00:00:00 EST 1989 · Int. J. Theor. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00670369· OSTI ID:5850354

Keller, K

The natural embedding of orthoposets and quantum logics, equipped with certain sets of states, into their corresponding order-unit normed vector space is investigated. Necessary (resp, sufficient) conditions are stated for the case that the image of the embedding and the extreme points of the order interval, bounded by 0 and the order unit, coincide. Modifications of the state space are discussed from this point of view and the special case of a Boolean algebra is characterized.

• Research Organization: Ernst-Moritz-Arndt-Universitaet, Greifswald (East Germany)
• OSTI ID: 5850354
• Journal Information: Int. J. Theor. Phys.; (United States), Vol. 28:1
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MATHEMATICAL LOGIC
INVARIANT IMBEDDING
SET THEORY
ALGEBRA
BOUNDARY CONDITIONS
CONVEX MANIFOLDS
HILBERT SPACE
MINKOWSKI SPACE
PROJECTION OPERATORS
QUANTUM MECHANICS
TOPOLOGY
VECTORS
BANACH SPACE
MATHEMATICAL MANIFOLDS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
MECHANICS
SPACE
TENSORS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics