Lectures on The Many-Body Problems V2

Lectures on The Many-Body Problems V2

1st Edition - January 1, 1964

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  • Editor: E.R. Caianiello
  • eBook ISBN: 9780323156660

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Lectures on the Many-Body Problem is a compilation of papers delivered at the Fifth International School of Physics, held at Ravello, Italy in April 1963. The book is devoted to the techniques of many-body theory, which are used in finding solutions to difficult problems encountered in solid-state physics. The text discusses such topics as the discontinuities in the drift velocity of ions in liquid helium; density fluctuation excitations in many-particle systems; tunneling from a many-particle point of view; the mathematics of second quantization for systems of fermions; and correlation functions and macroscopic equations. Theoretical physicists will find the monograph invaluable.

Table of Contents

  • Contributors


    Introductory Remarks on Solid-State Physics

    Discontinuities in the Drift Velocity of Ions in Liquid Helium


    Density Fluctuation Excitations in Many-Particle Systems

    I. Density Fluctuation Excitations: Collective Modes in Fermion Systems

    II. Correlation and Response for Neutral Systems

    III. Correlation and Response: Homogeneous Electron Systems


    The Electron-Phonon Interaction in Normal and Superconducting Metals

    I. Correlation Function Approach

    II. Green's Function Approach

    III. Specialization to a Metal

    IV. The Superconductor


    Special Effects in Superconductivity

    I. Introduction

    II. "Weak Superconductivity": The Josephson Tunneling Effect

    III. Observability and Fluctuations

    IV. Connection to General Many-Body Theory of Condensed States and "Broken Symmetry"


    Tunneling from a Many-Particle Point of View


    Superconductivity with p- and d-Wave Pairing

    I. Introduction

    II. The p-Wave Pairing

    III. The d-Wave Pairing


    Electrons in Disordered Systems

    I. Introduction

    II. Weak Potentials

    III. Polycrystalline Materials

    IV. Strong Potentials

    V. Krönig-Penney Model

    VI. Tight-Binding Case

    VII. Three-Dimensional Problem


    Oscillations of a Quantum Electron Gas in a Uniform Magnetic Field

    I. Introduction

    II. RPA Calculation of the Resonances


    Temperature-Dependent Random Phase Approximations for the Heisenberg Ferromagnet

    I. Introduction

    II. Equations of Motion for Heisenberg Ferromagnet

    III. Low Temperature Results

    IV. High Temperature Results

    V. The High-Density Expansion and RPA


    Renormalization in Equilibrium Statistical Mechanics

    I. Introduction

    II. Normal Systems

    III. Superfluid Systems

    IV. Explicit Construction of the Functionals


    Liouville Representation of Quantum Mechanics with Application to Relaxation Processes

    I. Introduction

    II. The Liouville Representation

    III. Interaction with a Reservoir


    The Mathematics of Second Quantization for Systems of Fermions

    I. Introduction

    II. The Operation in Configuration Space

    III. The Operation in Second Quantization


    Correlation Functions and Macroscopic Equations

    I. Illustrative Example

    II. Application to One-Component Fluids

    Author Index

    Subject Index

Product details

  • No. of pages: 306
  • Language: English
  • Copyright: © Academic Press 1964
  • Published: January 1, 1964
  • Imprint: Academic Press
  • eBook ISBN: 9780323156660

About the Editor

E.R. Caianiello

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