Time-Ordered Operators. II

DOI10.2307/1999556zbMath0544.47034OpenAlexW4245810328MaRDI QIDQ3333602

Tepper L. Gill

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999556

zbMATH Keywords

evolution operatortransition kerneltime-ordered integralsgeneralized additivity of unbounded operatorsgenerators of contraction semigroupslinear time- ordered evolution equationsoperator-valued path integralperturbation expansion of the S-matrix

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Perturbation theories for operators and differential equations in quantum theory (81Q15) Linear differential equations in abstract spaces (34G10) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (1)

The Feynman integral and Feynman's operational calculus: A heuristic and mathematical introduction

Cites Work

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• Infinite tensor products of Banach spaces I
• A linear evolution equation without a common dense core for the generators
• Hilbertian operators and reflexive tensor products
• Time-Ordered Operators. I. Foundations for an Alternate View of Reality
• On the Absence of Necessary Conditions For Linear Evolution Operators
• Product formulas, nonlinear semigroups, and addition of unbounded operators
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• "Closing-Up" of Sequence Spaces
• An Operator Calculus Having Applications in Quantum Electrodynamics

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