Statistical physics part II/
E.M. Lifshitz and L.P. Pitaevshii
- Oxford: Butterworth, 2005.
- x, 387 p. : ill. ; 24 cm.
I THE NORMAL FERMI LIQUID 1. Elementary exitations in a quantum Fermi liquid 2. Interaction of quasi-particles 3. Magnetic susceptibility of a Fermi liquid 4. Zero sound 5. Spin waves in a Fermi liquid 6. A degenerate almost ideal Fermi gas with repulsion between the particles
II GREEN'S FUNCTIONS IN A FERMI SYSTEM AT T = 0 7. Green's functions in a macroscopic system 8. Determination of the energy spectrum from the Green's function 9.Green's function of an ideal Fermi gas 10. Particle momentum distribution in a Fermi liquid 11. Calculation of thermodynamic quantities from the Green's function 12. y operators in the interaction representation 13. The diagram technique for Fermi systems 14. The self-energy function 15. The two-particle Green's function 16. The relation of the vertex function of the quasi-particle scattering amplitude 17. The vertex function for small momentum transfers 18. The relation of the vertex function to the quasi-particle interaction function 19. Identities for derivatives of the Green's function § 20. Derivation of the relation between the limiting momentum and the density 21. Green's function of an almost ideal Fermi gas
III SUPERFLUIDITY 22. Elementary excitations in a quantum Bose liquid 23. Superfluidity 24. Phonons ina liquid 25. A degenerate almost ideal Bose gas 26. The wave function of the condensate 27 Temperature dependence of the condensate density 28. Behaviour of the superfluid density near the A-point 29. Quantized vortex filaments 30. Avortex filament in an almost ideal Bose gas 31. Green's functions in a Bose liquid 32. The diagram technique for a Bose liquid 33. Self-energy functions 34. Disintegration of quasi-particles 35. Properties of the spectrum near its termination point
IV. GREEN'S FUNCTIONS AT NON-ZERO TEMPERATURES 36. Green's functions at non-zero temperatures 37. Temperature Green's functions 38. The diagram technique for temperature Green's functions
V. SUPERCONDUCTIVITY 39. A superfluid Fermi gas. The energy spectrum 40. A superfluid Fermi gas. Thermodynamic properties 41. Green's functions in a superfluid Fermi gas 42. Temperature Green's functions in a superfluid Fermi gas 43. Superconductivity in metals 44. The superconductivity current 45. The Ginzburg-Landau equations 46. Surface tension at the boundary of superconducting and normal phases 47. The two types of superconductor 48. The structure of the mixed state 49. Diamagnetic susceptibility above the transition point 50. The Josephson effect 51. Relation between current and magnetic field in a superconductor 52. Depth of penetration of a magnetic field into a superconductor 53. Superconducting alloys 54. The Cooper effect for non-zero orbital angular momenta of the pair
VI. ELECTRONS IN THE CRYSTAL LATTICE 55. An electron in a periocid field 56. Effect of an external field on electron motion in a lattice 57. Quasi-classical trajectories 58. Quasi-classical energy levels 59. The electron effective mass tensor in the lattice 60. Symmetry of electron states in a lattice in a magnetic field 61. Electronic spectra of normal metals 62. Green's function of electrons in a metal 63. The de Haas-van Alphen effect 64. Electron-phonon interaction 65. Effect of the electron-phonon interaction on the electron spectrum in a metal 66. The electron spectrum of solid insulators 67. Electrons and holes in semiconductors 68. The electron spectrum near the degeneracy point
VII. MAGNETISM 69. Equation of motion of the magnetic moment in a ferromagnet 70. Magnons in a ferromagnet.The spectrum 71. Magnons in a ferromagnet. Thermodynamic quantities 72. The spin Hamiltonian 73. Interaction of magnons 74. Magnons in an antiferromagnet
VIII ELECTROMAGNETIC FLUCTUATIONS 75. Green's function of a photon in a medium 76. Electromagnetic field fluctuations 77. Electromagnetic fluctuations in an infinite medium 78. Current fluctuations in linear circuits 79. Temperature Green's function of a photon in a medium 80. The van der Waals stress tensor 81. Forces of molecular interaction between solid bodies. The general formula 82. Forces of molecular interaction between solid bodies. Limiting cases 83. Asymptotic behaviour of the correlation function in a liquid 84. Operator expression for the permittivity 85. A degenerate plasma
IX. HYDRODYNAMIC FLUCTUATIONS 86. Dynamic form factor of a liquid 87. Summation rules for the form factor 88. Hydrodynamic fluctuations 89. Hydrodynamic fluctuations in an infinite medium 90. Operator expressions for the transport coefficients 91. Dynamic form factor of a Fermi liquid