2005/10/16 by A. Yu. Ignatiev, V.A. Kuzmin, V. A. Kuzmin · 8 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Commutation #Context (archaeology) #History #Limit (mathematics) #Mathematical analysis #Mathematics #Noncommutative and Quantum Gravity Theories #Pauli exclusion principle #Physics #Quantum mechanics #Random Matrices and Applications #Statistics #hep-ph
paper · pdf · doi:10.1016/j.physleta.2006.05.083
published in Physics Letters A 359(1), 26-30 (Elsevier BV) · 11 pages, RevTeX4
arxiv created 2005/10/16 · openalex publication_date 2006/06/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Recently it was suggested that the neutrino may violate the Pauli exclusion Principle (PEP). This renews interest in the systematic search for bilinear commutation relations that could describe deviations from PEP. In the context of this search we prove a no-go theorem which forbids a finite occupancy limit for an arbitrary system with a bilinear commutation relation. In other words, either the upper limit on the occupancy number is 1 (the ordinary fermionic case) or there is no upper limit at all. Some examples of the latter class include the usual Bose statistics, as well as non-standard quon statistics and infinite statistics.