Statistical Physics: Theory of the Condensed StateThe second part of 'Statistical Physics' deals with the quantum theory of the condensed state of matter. This volume is essentially an entirely new book, based on the large amount of new material which has become available in statistical physics since' Part 1' was published. |
Contents
THE NORMAL FERMI LIQUID 1 Elementary exitations in a quantum Fermi liquid | 1 |
Interaction of quasiparticles | 11 |
Magnetic susceptibility of a Fermi liquid | 12 |
Zero sound | 15 |
Spin waves in a Fermi liquid | 19 |
A degenerate almost ideal Fermi gas with repulsion between the particles ix | 21 |
GREENS FUNCTIONS IN A FERMI SYSTEM AT T 0 | 30 |
Greens functions in a macroscopic system | 31 |
Diamagnetic susceptibility above the transition point | 201 |
The Josephson effect | 204 |
Relation between current and magnetic field in a superconductor | 208 |
Depth of penetration of a magnetic field into a superconductor | 214 |
Superconducting alloys | 216 |
The Cooper effect for nonzero orbital angular momenta of the pair | 219 |
ELECTRONS IN THE CRYSTAL LATTICE 55 An electron in a periocid field | 223 |
Effect of an external field on electron motion in a lattice | 232 |
Determination of the enregy spectrum from the Greens function 9 Greens function of an ideal Fermi | 39 |
Particle momentum distribution in a Fermi liquid | 41 |
Calculation of thermodynamic quantities from the Greens function | 42 |
operators in the interaction representation | 43 |
The diagram technique for Fermi systems | 47 |
The selfenergy function | 55 |
The twoparticle Greens function | 63 |
The relation of the vertex function of the quasiparticle scattering amplitude 17 The vertex function for small momentum transfers | 65 |
The relation of the vertex function to the quasiparticle interaction function | 68 |
Identities for derivatives of the Greens function | 75 |
Derivation of the relation between the limiting momentum and the density | 76 |
Greens function of an almost ideal Fermi gas LL113826 33 | 83 |
SUPERFLUIDITY | 85 |
Elementary excitations in a quantum Bose liquid | 87 |
Superfluidity | 89 |
Phonons in a liquid | 95 |
A degenerate almost ideal Bose | 99 |
The wave function of the condensate | 103 |
Temperature dependence of the condensate density | 107 |
Behaviour of the superfluid density near the 2point | 109 |
Quantized vortex filaments | 115 |
A vortex filament in an almost ideal Bose | 117 |
Greens functions in a Bose liquid | 119 |
The diagram technique for a Bose liquid | 125 |
V | 127 |
Disintegration of quasiparticles | 131 |
Properties of the spectrum near its termination point | 135 |
GREENS FUNCTIONS AT NONZERO TEMPERATURES 36 Greens functions at nonzero temperatures | 141 |
Temperature Greens functions | 146 |
The diagram technique for temperature Greens functions | 149 |
SUPERCONDUCTIVITY 39 A superfluid Fermi gas The energy spectrum | 153 |
A superfluid Fermi gas Thermodynamic properties | 159 |
Greens functions in a superfluid Fermi gas | 164 |
Temperature Greens functions in a superfluid Fermi gas | 169 |
Superconductivity in metals | 171 |
The superconductivity current | 173 |
The GinzburgLandau equations | 178 |
Surface tension at the boundary of superconducting and normal phases | 184 |
The two types of superconductor | 190 |
The structure of the mixed state | 193 |
Quasiclassical trajectories | 236 |
Quasiclassical energy levels | 240 |
The electron effective mass tensor in the lattice | 243 |
Symmetry of electron states in a lattice in a magnetic field | 247 |
Electronic spectra of normal metals | 251 |
Greens function of electrons in a metal | 255 |
The de Haasvan Alphen effect | 259 |
Electronphonon interaction | 266 |
Effect of the electronphonon interaction on the electron spectrum in a metal | 270 |
The electron spectrum of solid insulators | 274 |
Electrons and holes in semiconductors | 277 |
The electron spectrum near the degeneracy point | 279 |
MAGNETISM 69 Equation of motion of the magnetic moment in a ferromagnet | 284 |
Magnons in a ferromagnet The spectrum | 289 |
Magnons in a ferromagnet Thermodynamic quantities | 294 |
85 | 295 |
The spin Hamiltonian | 300 |
Interaction of magnons | 305 |
Magnons in an antiferromagnet | 310 |
ELECTROMAGNETIC FLUCTUATIONS 75 Greens function of a photon in a medium | 314 |
Electromagnetic field fluctuations | 319 |
Electromagnetic fluctuations in an infinite medium | 321 |
Current fluctuations in linear circuits | 326 |
Temperature Greens function of a photon in a medium | 327 |
The van der Waals stress tensor | 331 |
Forces of molecular interaction between solid bodies The general formula | 338 |
Forces of molecular interaction between solid bodies Limiting cases | 342 |
Asymptotic behaviour of the correlation function in a liquid | 347 |
Operator expression for the permittivity | 350 |
A degenerate plasma | 353 |
HYDRODYNAMIC FLUCTUATIONS 86 Dynamic form factor of a liquid | 360 |
Summation rules for the form factor | 364 |
Hydrodynamic fluctuations | 368 |
88 | 369 |
Hydrodynamic fluctuations in an infinite medium | 373 |
Operator expressions for the transport coefficients | 378 |
Dynamic form factor of a Fermi liquid | 380 |
| 385 | |
| 386 | |
Other editions - View all
Statistical Physics: Theory of the Condensed State, Volume 9 E.M. Lifshitz,L. P. Pitaevskii Limited preview - 2013 |
Statistical Physics: Theory of the Condensed State Lev Davidovich Landau,E.M. Lifshitz,L. P. Pitaevskii No preview available - 1980 |
Common terms and phrases
atoms axis body calculation chemical potential coefficient commutation condensate condition constant coordinates correlation function corresponding crystal curl d³x definition denote density dependence derivative determined diagram technique distances distribution elementary excitations energy spectrum equation equilibrium expansion expressed in terms external field Fermi gas Fermi liquid Fermi surface ferromagnet finite fluctuations formula Fourier components free energy given gives Green's function Hamiltonian Heisenberg Hence integrand integration with respect interaction k₂ limit linear macroscopic magnetic field magnetic moment magnon matrix elements mean value medium metal momenta momentum motion non-zero obtain operator P₁ pair parameter perturbation theory phase phonon pole problem properties quantum quasi-momentum quasi-particle r₁ range relation replaced representation result satisfied solution spin Substituting suffix summation superconductivity superfluid symmetry temperature tensor tion transformation transition variable velocity vertex function volume vortex filaments wave function zero