02760nam 2200637 450 991081163620332120170821171906.01-4704-0767-1(CKB)3360000000464535(EBL)3113978(SSID)ssj0000973564(PQKBManifestationID)11504633(PQKBTitleCode)TC0000973564(PQKBWorkID)10984298(PQKB)10073540(MiAaPQ)EBC3113978(RPAM)1461101(PPN)195412338(EXLCZ)99336000000046453520140905h19861986 uy 0engur|n|---|||||txtccrGeneralized Dyson series, generalized Feynman diagrams, the Feynman integral, and Feynman's operational calculus /Gerald W. Johnson and Michel L. LapidusProvidence, Rhode Island :American Mathematical Society,1986.©19861 online resource (88 p.)Memoirs of the American Mathematical Society,0065-9266 ;Number 351"July 1986, Volume 62, Number 351 (fifth of 6 numbers)."0-8218-2413-9 Includes bibliographical references.""Contents""; ""0. Introduction and Preliminaries""; ""0.1. Introduction""; ""0.2. Notation and Preliminaries""; ""1. A Simple Generalized Dyson Series (η = Î? + Ï?δ[sub(Ï?)])""; ""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""Memoirs of the American Mathematical Society ;Number 351.Perturbation (Quantum dynamics)Integrals, GeneralizedFeynman diagramsOperator theoryCommutative algebraPerturbation (Quantum dynamics)Integrals, Generalized.Feynman diagrams.Operator theory.Commutative algebra.530.1/2Johnson Gerald W.1939-1622200Lapidus Michel L(Michel Laurent),1956-MiAaPQMiAaPQMiAaPQBOOK9910811636203321Generalized Dyson series, generalized Feynman diagrams, the Feynman integral, and Feynman's operational calculus3955916UNINA