Document type
Journal articles
Document subtype
Full paper
Title
Non-commutative probability and non-commutative processes: Beyond the Heisenberg algebra
Participants in the publication
R. Vilela Mendes (Author)
CMAFcIO
Summary
A probability space is a pair (A, ?) where A is an algebra and ? is a state on the algebra. In classical probability, A is the algebra of linear combinations of indicator functions on the sample space, and in quantum probability, A is the Heisenberg or Clifford algebra. However, other algebras are of interest in noncommutative probability. After a short review of the framework of classical and quantum probability, other noncommutative probability spaces are discussed, in particular those associated with noncommutative space-time.
Date of Publication
2019-09
Where published
Journal of Mathematical Physics
Publication Identifiers
ISSN - 0022-2488,1089-7658
Publisher
AIP Publishing
Document Identifiers
DOI -
https://doi.org/10.1063/1.5089500
URL -
http://dx.doi.org/10.1063/1.5089500