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Definite and Indefinite Unitary Time Representations for Hilbert and Non-Hilbert Spaces

2001/12/21 by Heinrich Saller, Saller, Heinrich
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Applications #Scientific Research and Discoveries #Statistical Mechanics and Entropy #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0112208

16 pages, latex, macros included

arxiv created 2001/12/21 · openalex publication_date 2001/12/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Stable states (particles), ghosts and unstables states (particles) are discussed with respect to the time representations involved, their unitary groups and the induced Hilbert spaces. Unstable particles with their decay channels are treated as higher dimensional probability collectives with nonabelian probability groups U(n) generalizing the individual abelian U(1)-normalization for stable states (particles).

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