Published January 2010 | Version v1
Journal article

Algebraic complementarity in quantum theory

Creators

  • 1. Alfred Renyi Institute of Mathematics, P.O. Box 127, H-1364 Budapest (Hungary) and Department for Mathematical Analysis, BUTE, P.O. Box 91, H-1521 Budapest (Hungary)

Description

This paper is an overview of the concept of complementarity, the relation to state estimation, to Connes-Stoermer conditional (or relative) entropy, and to uncertainty relation. Complementary Abelian and noncommutative subalgebras are analyzed. All the known results about complementary decompositions are described and several open questions are included. The paper contains only few proofs, typically references are given.

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Mathematical Physics
Journal Volume
51
Journal Issue
1
Journal Page Range
p. 015215-015215.11
ISSN
0022-2488
CODEN
JMAPAQ

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41072089
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
COMMUTATION RELATIONS; EIGENFUNCTIONS; EIGENVALUES; ENTROPY; QUANTUM MECHANICS
Descriptors DEC
FUNCTIONS; MECHANICS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES

Optional Information

Notes
(c) 2010 American Institute of Physics