1999/08/02 by Adam D. Helfer, Helfer, Adam D. · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Applications #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9908012
27 pages, Latex2e with AMS packages, typos corrected
openalex publication_date 1999/08/02 · arxiv created 2003/08/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For linear bose field theories, I show that if a classical Hamiltonian function is strictly positive, then there is a canonical transformation making the evolution orthogonal. This structure theorem is used to analyze the corresponding quantum theories. It is shown that there is an intimate connection between boundedness-below and self-adjoint implementability. Finally, it is shown that there is a broad class of "quantum inequalities:" any timelike component of the four-momentum density operator, averaged over a compact region in curved space-time, must be bounded below.