Generalized Dyson Series, Generalized Feynman Diagrams, the Feynman Integral and Feynman's Operational Calculus.
- 1st ed.
- 1 online resource (88 pages)
- Memoirs of the American Mathematical Society ; v.62 .
- Memoirs of the American Mathematical Society .
Intro -- Contents -- 0. Introduction and Preliminaries -- 0.1. Introduction -- 0.2. Notation and Preliminaries -- 1. A Simple Generalized Dyson Series (η = μ + ω& -- #948[sub(τ)]) -- 2. The Generalized Dyson Series -- 3. Examples of Perturbation Expansions -- 3.1. A Single Measure and Potential -- 3.2. Several Measures and Potentials -- 4. Stability Results -- 4.1. Stability in the Potentials -- 4.2. Stability in the Measures -- 5. Generalized Feynman Diagrams -- 6. The Banach Algebra of Functionals. Connections with Feynman's Operational Calculus -- Acknowledgments -- References.