Lectures on The Many-Body Problems V2, Volume 2E.R. Caianiello 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. |
Contents
| 1 | |
| 11 | |
| 15 | |
Chapter 4 The ElectronPhonon Interaction in Normal and Superconducting Metals | 77 |
Chapter 5 Special Effects in Superconductivity | 113 |
Chapter 6 Tunneling from a ManyParticle Point of View | 137 |
Chapter 7 Superconductivity with p and dWave Pairing | 147 |
Chapter 8 Electrons in Disordered Systems | 159 |
Chapter 10 TemperatureDependent Random Phase Approximations for the Heisenberg Ferromagnet | 179 |
Chapter 11 Renormalization in Equilibrium Statistical Mechanics | 203 |
Chapter 12 Liouville Representation of Quantum Mechanics with Application to Relaxation Processes | 217 |
Chapter 13 The Mathematics of Second Quantization for Systems of Fermions | 241 |
Chapter 14 Correlation Functions and Macroscopic Equations | 247 |
| 287 | |
| 291 | |
Chapter 9 Oscillations of a Quantum Electron Gas in a Uniform Magnetic Field | 169 |
Common terms and phrases
approximation average behavior boson calculation classical plasma coefficient collective mode commutation configurations conservation consider correlation function corresponding coupling defined definition density fluctuation density matrix depends discussion dispersion relation dissipative dynamic form factor effect eigenstates energy equation of motion equilibrium expansion expression external Fermi fermion ferromagnet find finite temperatures first fixed Fourier transform frequency Green’s function Hamiltonian hydrodynamic infinite interaction Josephson Landau damping lattice Liouville Liouville representation long-wavelength limit longitudinal low temperatures macroscopic magnetic field many-body matrix element momentum q normal fluid obtain operator order parameter P. W. Anderson pair excitations particle particle-hole pair perturbation phase phonon Phys physical plasma oscillations plasmon potential properties quantum quasi-particle renormalization represents response function satisfied second quantization space spin wave ST(q sum rule superconductor superfluid system of interest thermal thermodynamic tion tunneling vanishes variables vector velocity wave function wavelength zero