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Von Neumann’s uniqueness theorem in theories with nonphysical particles

2013/01/31 by K. V. Antipin, M. N. Mnatsakanova, Yu. S. Vernov
Computer Science · Mathematics · Physics and Astronomy · #Advanced Algebra and Logic #Advanced Operator Algebra Research #Boundary value problem #Class (philosophy) #Epistemology #Fixed-point theorem #Fock space #Mathematical analysis #Mathematical physics #Mathematics #Physics #Picard–Lindelöf theorem #Pure mathematics #Quantum mechanics #Random Matrices and Applications #Uniqueness #Uniqueness theorem for Poisson's equation #Von Neumann architecture #hep-th #math-ph #math.MP

paper · pdf · doi:10.1134/s1547477115020041

published in Physics of Particles and Nuclei Letters 12(2), 282-285 (Pleiades Publishing) · 10 pages

arxiv created 2013/01/31 · openalex publication_date 2015/03/01 · arxiv updated 2016/06/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

Von Neumann’s uniqueness theorem is extended to the class of anti-Fock representations of canonical commutation relations.

Citations