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Quantum Field Theory II: Quantum Electrodynamics : A Bridge between Mathematicians and Physicists / by Eberhard Zeidler

Edition 1st ed. 2009.
Publisher (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year 2009
Size XXXVII, 1101 p : online resource
Authors *Zeidler, Eberhard author
SpringerLink (Online service)
Subjects LCSH:Mathematical analysis
LCSH:Differential equations
LCSH:Mathematical physics
LCSH:Functional analysis
LCSH:Geometry
FREE:Analysis
FREE:Differential Equations
FREE:Mathematical Methods in Physics
FREE:Theoretical, Mathematical and Computational Physics
FREE:Functional Analysis
FREE:Geometry
Notes Prologue -- Mathematical Principles of Modern Natural Philosophy -- The Basic Strategy of Extracting Finite Information from Infinities – Ariadne’s Thread in Renormalization Theory -- The Power of Combinatorics -- The Strategy of Equivalence Classes in Mathematics -- Basic Ideas in Classical Mechanics -- Geometrical Optics -- The Principle of Critical Action and the Harmonic Oscillator – Ariadne’s Thread in Classical Mechanics -- Basic Ideas in Quantum Mechanics -- Quantization of the Harmonic Oscillator – Ariadne’s Thread in Quantization -- Quantum Particles on the Real Line – Ariadne’s Thread in Scattering Theory -- A Glance at General Scattering Theory -- Quantum Electrodynamics (QED) -- Creation and Annihilation Operators -- The Basic Equations in Quantum Electrodynamics -- The Free Quantum Field of Electrons, Positrons, and Photons -- The Interacting Quantum Field, and the Magic Dyson Series for the S-Matrix -- The Beauty of Feynman Diagrams in QED -- Applications to Physical Effects -- Renormalization -- The Continuum Limit -- Radiative Corrections of Lowest Order -- A Glance at Renormalization to all Orders of Perturbation Theory -- Perspectives
This is the second volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists ranging from advanced undergraduate students to professional scientists. This book seeks to bridge the existing gap between the different languages used by mathematicians and physicists. For students of mathematics it is shown that detailed knowledge of the physical background helps to discover interesting interrelationships between quite diverse mathematical topics. For students of physics fairly advanced mathematics, beyond that included in the usual curriculum in physics, is presented. The present volume concerns a detailed study of the mathematical and physical aspects of the quantum theory of light
HTTP:URL=https://doi.org/10.1007/978-3-540-85377-0
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Springer eBooks 9783540853770
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EB00208141

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Material Type E-Book
Classification LCC:QA299.6-433
DC23:515
ID 4000117539
ISBN 9783540853770

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