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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.
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
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
II. The p-Wave Pairing
III. The d-Wave Pairing
Electrons in Disordered Systems
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
II. RPA Calculation of the Resonances
Temperature-Dependent Random Phase Approximations for the Heisenberg Ferromagnet
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
II. Normal Systems
III. Superfluid Systems
IV. Explicit Construction of the Functionals
Liouville Representation of Quantum Mechanics with Application to Relaxation Processes
II. The Liouville Representation
III. Interaction with a Reservoir
The Mathematics of Second Quantization for Systems of Fermions
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
- No. of pages:
- © Academic Press 1964
- 1st January 1964
- Academic Press
- eBook ISBN:
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