2003/03/18 by Eric A. Galapon, Galapon, Eric A.
Medicine · Physics and Astronomy · #Biofield Effects and Biophysics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Relativity and Gravitational Theory #hep-th #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0303106
To appear in the proceedings of the ``International Colloquium in Time and Matter,'' Venice, Italy, August 11-24, 2002 (World Scientific). 12 pages
arxiv created 2003/03/18 · openalex publication_date 2003/03/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Pauli's theorem asserts that the canonical commutation relation [T,H]=iI only admits Hilbert space solutions that form a system of imprimitivities on the real line, so that only non-self-adjoint time operators exist in single Hilbert quantum mechanics. This, however, is contrary to the fact that there is a large class of solutions to [T,H]=iI, including self-adjoint time operator solutions for semibounded and discrete Hamiltonians. Consequently the theorem has brushed aside and downplayed the rest of the solution set of the time-energy canonical commutation relation.