Cubic Matrices, Generalized Spin Algebra and Uncertainty Relation

2003/04/30 by Yoshiharu Kawamura · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #hep-th

paper · pdf · doi:10.1143/ptp.110.579

published as Prog.Theor.Phys. 110 (2003) 579-587 · Latex, 13pages

openalex publication_date 2003/09/01 · arxiv created 2004/04/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a generalization of spin algebra using three-index objects. Our results suggest the possibility that a triple commutation relation among three-index objects implies a kind of uncertainty relation involving their expectation values.

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