Extracting linear and bilinear factors in Feynman's operational calculi

DOI10.1023/A:1024049113118zbMath1051.47013MaRDI QIDQ1404337

Gerald W. Johnson, Byoung Soo Kim

Publication date: 21 August 2003

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

zbMATH Keywords

disentanglingautonomous bracketsextracting linear and bilinear factorsFeynman's operational calculus for non-commuting operators

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) General quantum mechanics and problems of quantization (81S99)

Related Items (11)

Feynman's operational calculus with arbitrary measures: an evolution equation in the general case and examples ⋮ Measure decomposing disentangling in Feynman's operational calculus ⋮ Feynman's operational calculi: Methods for iterative disentangling ⋮ Towards a comprehensive stability theory for Feynman's operational calculus: the time-dependent setting ⋮ Measure permutation formulas in Feynman's operational calculi ⋮ Feynman's operational calculi: decomposing disentanglings ⋮ Unnamed Item ⋮ Feynman's operational calculi: spectral theory for noncommuting self-adjoint operators ⋮ Stability properties for Feynman's operational calculus in the combined continuous/discrete setting ⋮ Generalized measure permutation formulas in Feynman's operational calculi ⋮ Towards a comprehensive stability theory for Feynman's operational calculus: the time independent setting

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