Feynman's operational calculi: spectral theory for noncommuting self-adjoint operators

DOI10.1007/s11040-007-9021-8zbMath1180.47013OpenAlexW1970458680MaRDI QIDQ1016736

Gerald W. Johnson, Lance Nielsen, Brian R. F. Jefferies

Publication date: 22 May 2009

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-007-9021-8

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

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Two approaches to the use of unbounded operators in Feynman's operational calculus ⋮ Towards a comprehensive stability theory for Feynman's operational calculus: the time-dependent setting ⋮ Towards a comprehensive stability theory for Feynman's operational calculus: the time independent setting

Cites Work

• Time dependent stability for Feynman's operational calculus
• Feynman's operational calculi for noncommuting operators: definitions and elementary properties
• Extracting linear and bilinear factors in Feynman's operational calculi
• Feynman's operational calculus for families of noncommuting operators: tensor products, ordered supports, and the disentangling of an exponential factor
• Stability properties of Feynman's operational calculus for exponential functions of noncommuting operators
• Spectral properties of noncommuting operators
• Effects of absolute continuity in Feynman’s operational calculus
• FEYNMAN'S OPERATIONAL CALCULI FOR NONCOMMUTING OPERATORS: SPECTRAL THEORY
• Functions of Several Self-Adjoint Operators
• An Operator Calculus Having Applications in Quantum Electrodynamics
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