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001471946 001__ 1471946
001471946 003__ OCoLC
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001471946 0247_ $$a10.1007/978-981-99-3530-7$$2doi
001471946 035__ $$aSP(OCoLC)1390921185
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001471946 050_4 $$aQC174.45
001471946 08204 $$a530.143$$223/eng/20230726
001471946 1001_ $$aMoshayedi, Nima.
001471946 24510 $$aQuantum field theory and functional integrals :$$ban introduction to Feynman path integrals and the foundations of axiomatic field theory /$$cNima Moshayedi.
001471946 260__ $$aSingapore :$$bSpringer,$$c2023.
001471946 300__ $$a1 online resource (126 p.).
001471946 4901_ $$aSpringerBriefs in Physics
001471946 5058_ $$a4.4.2 Wick Ordering as a Value of Feynman Diagrams -- 4.4.3 Abstract Point of View on Wick Ordering -- 4.5 Bosonic Fock Spaces -- 5 Construction of Quantum Field Theories -- 5.1 Free Scalar Field Theory -- 5.1.1 Locally Convex Spaces -- 5.1.2 Dual of a Locally Convex Space -- 5.1.3 Gaussian Measures on the Dual of Fréchet Spaces -- 5.1.4 The Operator ([delta]+m2)-1 -- 5.2 Construction of Self-Interacting Theories -- 5.2.1 More Random Variables -- 5.2.2 Generalized Feynman Diagrams -- 5.2.3 Theories with Exponential Interaction -- 5.2.4 The Osterwalder-Schrader Axioms
001471946 5050_ $$aIntro -- Preface -- Contents -- 1 Introduction -- 2 A Brief Recap of Classical Mechanics -- 2.1 Newtonian Mechanics -- 2.1.1 Conservation of Energy -- 2.2 Hamiltonian Mechanics -- 2.2.1 The General Formulation -- 2.2.2 The Poisson Bracket -- 2.3 Lagrangian Mechanics -- 2.3.1 Lagrangian System -- 2.3.2 Hamilton's Least Action Principle -- 2.4 The Legendre Transform -- 3 The Schrödinger Picture of Quantum Mechanics -- 3.1 Postulates of Quantum Mechanics -- 3.1.1 First Postulate -- 3.1.2 Second Postulate -- 3.1.3 Third Postulate -- 3.1.4 Summary of Classical and Quantum Mechanics
001471946 5058_ $$a3.2 Elements of Functional Analysis -- 3.2.1 Bounded Operators -- 3.2.2 Unbounded Operators -- 3.2.3 Adjoint of an Unbounded Operator -- 3.2.4 Sobolev Spaces -- 3.3 Quantization of a Classical System -- 3.3.1 Definition -- 3.3.2 Eigenvalues of a Single Harmonic Oscillator -- 3.3.3 Weyl Quantization on mathbbR2n -- 3.4 Schrödinger Equations, Fourier Transforms and Propagators -- 3.4.1 Solving the Schrödinger Equation -- 3.4.2 The Schrödinger Equation for the Free Particle Moving on mathbbR -- 3.4.3 Solving the Schrödinger Equation with Fourier Transform
001471946 5058_ $$a4 The Path Integral Approach to Quantum Mechanics -- 4.1 Feynman's Formulation of the Path Integral -- 4.1.1 The Free Propagator for the Free Particle on mathbbR -- 4.2 Construction of the Wiener Measure -- 4.2.1 Towards Nowhere Differentiability of Brownian Paths -- 4.2.2 The Feynman-Kac Formula -- 4.3 Gaussian Measures -- 4.3.1 Gaussian Measures on mathbbR -- 4.3.2 Gaussian Measures on Finite-Dimensional Vector Spaces -- 4.3.3 Gaussian Measures on Real Separable Hilbert Spaces -- 4.3.4 Standard Gaussian Measure on mathcalH -- 4.4 Wick Ordering -- 4.4.1 Motivating Example and Construction
001471946 5058_ $$a5.3 QFT as an Operator-Valued Distribution -- 5.3.1 Relativistic Quantum Mechanics -- 5.3.2 Garding-Wightman Formulation of QFT -- 5.4 Outlook -- 5.4.1 Generalization and Gauge Theories -- 5.4.2 TQFTs and the Functorial Approach -- Appendix Bibliography
001471946 506__ $$aAccess limited to authorized users.
001471946 520__ $$aDescribed here is Feynman's path integral approach to quantum mechanics and quantum field theory from a functional integral point of view. Therein lies the main focus of Euclidean field theory. The notion of Gaussian measure and the construction of the Wiener measure are covered. As well, the notion of classical mechanics and the Schrdinger picture of quantum mechanics are recalled. There, the equivalence to the path integral formalism is shown by deriving the quantum mechanical propagator from it. Additionally, an introduction to elements of constructive quantum field theory is provided for readers.
001471946 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed July 26, 2023).
001471946 650_0 $$aQuantum field theory.
001471946 650_0 $$aFeynman integrals.
001471946 655_0 $$aElectronic books.
001471946 77608 $$iPrint version:$$aMoshayedi, Nima$$tQuantum Field Theory and Functional Integrals$$dSingapore : Springer,c2023$$z9789819935291
001471946 830_0 $$aSpringerBriefs in physics.
001471946 852__ $$bebk
001471946 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-99-3530-7$$zOnline Access$$91397441.1
001471946 909CO $$ooai:library.usi.edu:1471946$$pGLOBAL_SET
001471946 980__ $$aBIB
001471946 980__ $$aEBOOK
001471946 982__ $$aEbook
001471946 983__ $$aOnline
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