Quantum Physics: A Functional Integral Point of View

Author:   James Glimm ,  Arthur Jaffe ,  A Jaffe ,  Arthur Jaffe
Publisher:   Springer-Verlag New York Inc.
Edition:   2nd ed. 1987
ISBN:  

9780387964775


Pages:   535
Publication Date:   04 May 1987
Format:   Paperback
Availability:   In Print   Availability explained
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Quantum Physics: A Functional Integral Point of View


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Overview

Describes fifteen years' work which has led to the construc- tion of solutions to non-linear relativistic local field e- quations in 2 and 3 space-time dimensions. Gives proof of the existence theorem in 2 dimensions and describes many properties of the solutions.

Full Product Details

Author:   James Glimm ,  Arthur Jaffe ,  A Jaffe ,  Arthur Jaffe
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2nd ed. 1987
Dimensions:   Width: 15.50cm , Height: 2.80cm , Length: 23.50cm
Weight:   0.838kg
ISBN:  

9780387964775


ISBN 10:   0387964770
Pages:   535
Publication Date:   04 May 1987
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

I An Introduction to Modern Physics.- 1 Quantum Theory.- 2 Classical Statistical Mechanics.- 3 The Feynman-Kac Formula.- 4 Correlation Inequalities and the Lee-Yang Theorem.- 5 Phase Transitions and Critical Points.- 6 Field Theory.- Appendix to Part I. Hilbert Space Operators and Functional Integrals.- II Function Space Integrals.- 7 Covariance Operator = Green’s Function = Resolvent Kernel = Euclidean Propagator = Fundamental Solution.- 8 Quantization = Integration over Function Space.- 9 Calculus and Renormalization on Function Space.- 10 Estimates Independent of Dimension.- 11 Fields Without Cutoffs.- 12 Regularity and Axioms.- III The Physics of Quantum Fields.- 13 Scattering Theory: Time-Dependent Methods.- 14 Scattering Theory: Time-Independent Methods.- 15 The Magnetic Moment of the Electron.- 16 Phase Transitions.- 17 The ?4 Critical Point.- 18 The Cluster Expansion.- 19 From Path Integrals to Quantum Mechanics.- 20 The Polymer Expansion.- 21 Random Path Representations.- 22 Constructive Gauge Theory and Phase Cell Localization.- 23 Further Directions.

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