Many-Body Theory of Solids

1. Front Matter

   Pages i-x

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2. The Interacting System

   • John C. Inkson

   Pages 1-25

3. Green’s Functions of the Single-Particle Schrödinger Equation

   • John C. Inkson

   Pages 27-41

4. Quantization of Waves (Second Quantization)

   • John C. Inkson

   Pages 43-66

5. Representations of Quantum Mechanics

   • John C. Inkson

   Pages 67-89

6. Interacting Systems and Quasiparticles

   • John C. Inkson

   Pages 91-111

7. Many-Body Green’s Functions

   • John C. Inkson

   Pages 113-134

8. The Self-Energy and Perturbation Series

   • John C. Inkson

   Pages 135-156

9. Diagrammatic Interpretation of the Green’s Function Series

   • John C. Inkson

   Pages 157-181

10. The Normal System

    • John C. Inkson

    Pages 183-217

11. Thermal Effects on the Green’s Function

    • John C. Inkson

    Pages 219-238

12. Boson Particles

    • John C. Inkson

    Pages 239-263

13. Special Methods

    • John C. Inkson

    Pages 265-287

14. Superconductivity

    • John C. Inkson

    Pages 289-310

15. Back Matter

    Pages 311-331

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here exists a gap in the present literature on quantum mechanics T and its application to solids. It has been difficult to find an intro­ ductory textbook which could take a student from the elementary quan­ tum mechanical ideas of the single-particle Schrodinger equations, through the formalism and new physical concepts of many-body theory, to the level where the student would be equipped to read the scientific literature and specialized books on specific topics. The present book, which I believe fills this gap, grew out of two courses which I have given for a number of years at the University of Cambridge: "Advanced Quan­ tum Mechanics," covering the quantization of fields, representations, and creation and annihilation operators, and "Many Body Theory," on the application of quantum field theory to solids. The first course is a final-year undergraduate physics course while the second is a joint first­ and fourth-year undergraduate math­ year postgraduate physics course ematics course. In an American context this would closely correspond to a graduate course at the masters level. In writing this book I have tried to stress the physical aspects of the mathematics preferring where possible to introduce a technique by using a simple illustrative example rather than develop a purely formal treat­ ment. In order to do this I have assumed a certain familiarity with solid­ state physics on the level of a normal undergraduate course, but the book should also be useful to those without such a background.

• electron
• field theory
• fields
• many-body theory
• mathematics
• mechanics
• physical concepts
• physics
• quantization
• quantum field
• quantum field theory
• quantum mechanics
• superconductivity

• Cavendish Laboratory, University of Cambridge, Cambridge, England

  John C. Inkson

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