1997/02/27 by M. Toller, Toller, M. · 7 citations
Mathematics · Physics and Astronomy · #Algorithm #Computer science #Covariant transformation #Event (particle physics) #FOS: Physical sciences #Mathematical physics #Mathematics #Measure (data warehouse) #Minkowski space #Noncommutative and Quantum Gravity Theories #Object (grammar) #Operator (biology) #Physics #Projection (relational algebra) #Pure mathematics #Quantum #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum mechanics #Representation (politics) #Space (punctuation) #Spacetime #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/9702060
published in arXiv (Cornell University) (Cornell University) · 21 pages, LATEX, no figures. This revised version contains several more important references and a short section on non-normalized positive operator valued measures
openalex publication_date 1997/02/27 · arxiv created 1997/03/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This paper gives a representation of the most general positive operator valued measure in Minkowski space-time, covariant with respect to the Poincare' group. It provides the correct mathematical description of the space-time coordinates of a quantum event, described by a quantum object with suitable properties. It is known that these coordinates cannot be represented by self-adjoint operators or by the corresponding projection valued measure.