Time-ordered operators and Feynman–Dyson algebras

DOI10.1063/1.527499zbMath0637.58043OpenAlexW2051996763MaRDI QIDQ3777128

Woodford W. Zachary, Tepper L. Gill

Publication date: 1987

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527499

zbMATH Keywords

path integralsTrotter-Kato formulaFeynman- Dyson operatorFeynman-Dyson algebras

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Path integrals in quantum mechanics (81S40) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

Related Items (4)

Foundations for relativistic quantum theory. I. Feynman’s operator calculus and the Dyson conjectures ⋮ Propagators for relativistic systems with non-Abelian interactions ⋮ The Feynman integral and Feynman's operational calculus: A heuristic and mathematical introduction ⋮ Feynman operator calculus: The constructive theory

Cites Work

• T-product of hypoelliptic operators
• Trotter's product formula for nonlinear semigroups generated by the subdifferentials of convex functionals
• A Family of Integrals Serving to Connect the Wiener and Feynman Integrals
• ON THE CAUCHY PROBLEM ANDT-PRODUCTS FOR HYPOELLIPTIC SYSTEMS
• The Feynman maps and the Wiener integral
• A Foldy-Wouthuysen transformation for particles of arbitrary spin
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• The Feynman Operator Calculus
• Integration in Product Spaces, Including Wiener and Feynman Integration
• On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit
• An Operator Calculus Having Applications in Quantum Electrodynamics
• Divergence of Perturbation Theory in Quantum Electrodynamics

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