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| preface to the dover edition . preface part one introduction chapter 1 second quantization 1 the schrodinger equation in first and second quantization bosons many-particle hilbert space and creation and destruction operators fermions 2 fields 3 example: degenerate electron gas chapter 2 statistical mechanics 4 review of thermodynamics and statistical mechanics 5 ideal gas bosons fermions part two ground-state (zero-temperature) formalism chapter3 green's functions and field theory (fermions) 6 pictures schrodinger picture interaction picture .heisenberg picture adiabatic "switching on" gell-mann and low theorem on the ground state in quantum field theory 7 green's functions definition relation to observables example: free fermions the lehmann representation physical interpretation of the green's function 8 wick's theorem 9 diagrammatic analysis of perturbation theory feynman diagrams in coordinate space feynman diagrams in momentum space dyson's equations goldstone's theorem chapter 4 fermi systems 10 hartree-fock approximation 11 imperfect fermi gas scattering from a hard sphere scattering theory in momentum space ladder diagrams and the bethe-salpeter equation galitskii's integral equations the proper self-energy physical quantities justification of terms retained 12 degenerate electron gas ground-state energy and the dielectric constant ring diagrams evaluation of ii0 correlation energy effective interaction chapter 5 linear response and collective modes 13 general theory of linear response to an external perturbation 14 screening in an electron gas 15 plasma oscillations in an electron gas 16 zero sound in an imperfectfermi gas 17 inelastic electron scattering chapter 6 bose systems 18 formulation of the problem 19 green's functions 20 perturbation theory and feynman rules interaction picture feynman rules in coordinate space feynman rules in momentum space dyson's equations lehmann representation 21 weakly interacting bose gas 22 dilute bose gas with repulsive cores part three finite-temperature formalism chapter 7 field theory at finite temperature 23 temperature green's functions definition relation to observables example: noninteracting system 24 perturbation theory and wick's theorem for finite temperatures interaction picture periodicity proof of wick's theorem 25 diagrammatic analysis feynman rules in coordinate space feynman rules in momentum space evaluation of frequency sums 26 dyson's equations chapter 8 physical systems at finite temperature 27 hartree-fock approximation 28 imperfect bose gas near tc 29 specific heat of an imperfect fermi gas at low temperature low-temperature expansion hartree-fock approximation evaluation of the entropy 30 electron gas .. approximate proper self-energy summation of ring diagrams approximate thermodynamic potential classical limit zero-temperature limit chapter 9 real-time green's functions and linear response 31 generalized lehmann representation definition of g retarded and advanced functions temperature green's functions and analytic continuation 32 linear response at finite temperature general theory density correlation function 33 screening in an electron gas 34 plasma oscillations in an electron gas part four canonical transformations chapter 10 canonical transformations 35 interacting bose gas 36 cooper pairs 37 interacting fermi gas part five applications to physical systems chapter 11 nuclear matter 38 nuclear forces: a review 39 nuclear matter nuclear radii and charge distributions the semiempirical mass formula 40 independent-particle (fermi-gas) model 41 independent-pair approximation (brueckner's theory) self-consistent bethe-goldstone equation solution for a nonsingular square-well potential solution for a pure hard-core potential properties of nuclear matter with a "realistic" potential 42 relation to green's functions and bethe-salpeter equation 43 the energy gap in nuclear matter chapter 12 phonons and electrons 44 the noninteracting phonon system lagrangian and hamiltonian debye theory of the specific heat 45 the electron-phonon interaction 46 the coupled-field theory feynman rules for t= 0 the equivalent electron-electron interaction vertex parts and dyson's equations 47 migdal's theorem chapter 13 superconductivity 48 fundamental properties of superconductors basic experimental facts thermodynamic relations 49 london-pippard phenomenological theory derivation of london equations solution for halfspace and slab conservation and quantization of fiuxoid pippard's generalized equation 50 ginzburg-landau phenomenological theory expansion of the free energy solution in simple cases flux quantization surface energy 51 microscopic (bcs) theory general formulation solution for uniform medium determination of the gap function △(t) thermodynamic functions 52 linear response to a weak magnetic field derivation of the general kernel meissner effect penetration depth in pippard (nonlocal) limit nonlocal integral relation 53 microscopic derivation of ginzburg-landau equations chapter 14 superfluid helium 54 fundamental properties of he ii basic experimental facts landau's quasiparticle model 55 weakly interacting bose gas general formulation uniform condensate nonuniform condensate chapter 15 applications to finite systems: the atomic nucleus 56 general canonical transformation to particles and holes 57 the single-particle shell model approximate hartree-fock wave functions and level orderings in a central potential spin-orbit splitting single-particle matrix elements 58 many particles in a shell two valence particles: general interaction and δ(x) force several particles: normal coupling the pairing-force problem the boson approximation the bogoliubov transformation 59 excited states: linearization of the equations of motion tamm-dancoff approximation (tda) random-phase approximation (rpa) reduction of the basis solution for the [1si-dimensional supermultiplet with a δ(x) force an application to nuclei: ot6 60 excited states: green's function methods the polarization propagator random-phase approximation tamm-dancoff approximation construction of ii(w) in the rpa 61 realistic nuclear forces two nucleons outside closed shells: the independent-pair approximation bethe-goldstone equation harmonic-oscillator approximation pauli principle correction extensions and calculations of other quantities appendixes definite integrals review of the theory of angular momentum basic commutation relations coupling of two angular moments: clebsch-gordan coefficients coupling of three angular momenta: the 6-j coefficients irreducible tensor operators and the wigner-eckart theorem tensor operators in coupled schemes index ... |
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