Quantum Phase Space from Schwinger's Measurement Algebra

Watson, P. and Bracken, A. J. (2014) Quantum Phase Space from Schwinger's Measurement Algebra. Foundations of Physics, 44 7: 762-780. doi:10.1007/s10701-014-9813-1

Author Watson, P.
Bracken, A. J.
Title Quantum Phase Space from Schwinger's Measurement Algebra
Journal name Foundations of Physics   Check publisher's open access policy
ISSN 0015-9018
Publication date 2014-06-15
Sub-type Article (original research)
DOI 10.1007/s10701-014-9813-1
Open Access Status Not Open Access
Volume 44
Issue 7
Start page 762
End page 780
Total pages 19
Place of publication New York, NY, United States
Publisher Springer
Language eng
Subject 3100 Physics and Astronomy
Abstract Schwinger's algebra of microscopic measurement, with the associated complex field of transformation functions, is shown to provide the foundation for a discrete quantum phase space of known type, equipped with a Wigner function and a star product. Discrete position and momentum variables label points in the phase space, each taking (Formula presented.) distinct values, where (Formula presented.) is any chosen prime number. Because of the direct physical interpretation of the measurement symbols, the phase space structure is thereby related to definite experimental configurations.
Keyword Discrete quantum phase space
Schwinger's measurement algebra
Star product
Wigner function
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2015 Collection
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 0 times in Thomson Reuters Web of Science Article
Scopus Citation Count Cited 0 times in Scopus Article
Google Scholar Search Google Scholar
Created: Sun, 17 Aug 2014, 10:09:55 EST by System User on behalf of Scholarly Communication and Digitisation Service