Lectures on The Many-Body Problems V2 - 1st Edition - ISBN: 9780123956163, 9780323156660

Lectures on The Many-Body Problems V2

1st Edition

Editors: E.R. Caianiello
eBook ISBN: 9780323156660
Imprint: Academic Press
Published Date: 1st January 1964
Page Count: 306
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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



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


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© Academic Press 1964
Academic Press
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About the Editor

E.R. Caianiello

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