1987

Quantum Physics

A Functional Integral Point of View

Authors:

ISBN: 978-0-387-96477-5 (Print) 978-1-4612-4728-9 (Online)

Table of contents (23 chapters)

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  1. Front Matter

    Pages i-xxii

  2. An Introduction to Modern Physics

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-27

      Quantum Theory

    3. No Access

      Book Chapter

      Pages 28-42

      Classical Statistical Mechanics

    4. No Access

      Book Chapter

      Pages 43-55

      The Feynman-Kac Formula

    5. No Access

      Book Chapter

      Pages 56-72

      Correlation Inequalities and the Lee-Yang Theorem

    6. No Access

      Book Chapter

      Pages 73-89

      Phase Transitions and Critical Points

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      Book Chapter

      Pages 90-121

      Field Theory

    8. Back Matter

      Pages 122-155

  3. Function Space Integrals

    1. Front Matter

      Pages 157-157

    2. No Access

      Book Chapter

      Pages 159-179

      Covariance Operator = Green’s Function = Resolvent Kernel = Euclidean Propagator = Fundamental Solution

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      Book Chapter

      Pages 180-201

      Quantization = Integration over Function Space

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      Book Chapter

      Pages 202-228

      Calculus and Renormalization on Function Space

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      Book Chapter

      Pages 229-248

      Estimates Independent of Dimension

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      Book Chapter

      Pages 249-254

      Fields Without Cutoffs

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      Book Chapter

      Pages 255-269

      Regularity and Axioms

  4. The Physics of Quantum Fields

    1. Front Matter

      Pages 271-271

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      Book Chapter

      Pages 273-291

      Scattering Theory: Time-Dependent Methods

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      Book Chapter

      Pages 292-305

      Scattering Theory: Time-Independent Methods

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      Book Chapter

      Pages 306-315

      The Magnetic Moment of the Electron

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      Book Chapter

      Pages 316-338

      Phase Transitions

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      Book Chapter

      Pages 339-355

      The φ 4 Critical Point

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      Book Chapter

      Pages 356-378

      The Cluster Expansion

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      Book Chapter

      Pages 379-397

      From Path Integrals to Quantum Mechanics

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      Book Chapter

      Pages 398-418

      The Polymer Expansion

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