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| Nozieres P., Pines D. — The theory of quantum liquids |
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| Предметный указатель |
 -point 46
-transition in He II 4 18
Backflow 39
Bare particle distribution 25
Bogoliubov approximation 143
Bose liquid 3
Bose liquid, excited states 97
Bose liquid, well behaved 20
Bose statistics 13
Bose — Einstein equilibrium distribution 91
Capillary flow 8 50 75
Characteristic length 140
chemical potential 21 159
Coherence length 59 164
Coherence length of dilute Bose gas 148
Collisionless regime 33 98
Compressibility sum rule 26 108—109 112 144
condensate 6
Condensate motion 50
Condensate motion, current density 69
Condensate motion, density 69
Condensate motion, description 63
Condensate motion, dynamic equation 100
Condensate motion, dynamics 82 159
Condensate motion, energy 71
Condensate wave function 63 153 156 162 166
Condensate wave function, dynamical equation of 161
Condensate, density 157
Condensate, depletion of 141 155
Condensate, equation of motion, simple solutions to 161
Condensate, non-uniform, microscopic theory 153
Condensate, response, finite temperature 94
Condensate, spatially varying 164
Condensate, structure 159
Condensate, uniform, microscopic theory 133
Conservation of entropy 100
Conservation of local density 100
Correlation function longitudinal current-current 94
Critical temperature for liquefaction of  4
Critical velocity 77
Critical velocity for appearance of first vortex line 15 128
Critical velocity for superfluid flow 15 129—132
Current density 66
Current density fluctuation, matrix element for 111
Density fluctuation 19 81 162
Density fluctuation in a Bose liquid 25
Density fluctuation of condensate 157
Density fluctuation, excitations 27
Density fluctuation, excitations, spectrum 25
Density fluctuation, spectrum 20 98
Density fluctuation, total 158
Density matrix 153
Density matrix of superfluid system in arbitrary state 156
Density matrix of superfluid system in ground state 155
Density of condensate 157
Density of normal fluid 10
Density of normal fluid in He II 95
Density, current 66
Density, mass 86
Density, particle 66
Density-density correlation function of dilute Bose gas 148
Density-density response function 98 141
Depletion of ground state for dilute Bose gas 148
Differential cross-section 32 34
Dilute Bose gas 145
Dilute Bose gas, properties of 148
Dispersion relations for wave propagation 102
Distribution function 19
Distribution function for thermal quasi-particles 100
Distribution function of free Bose gas 23
Distribution function, equilibrium 24
Distribution function, finite temperature 23
Distribution function, quasi-particle 24
Dynamic equation, governing condensate motion 100
Dynamic equation, governing entire liquid motion 100
Dynamic form factor 25—26 30 36 41 141
Elementary excitation spectrum 11 13
Elementary excitation spectrum in He II 29 37
Elementary excitations 14 19
Elementary excitations for non-uniform condensate 168
Elementary excitations, spectrum, for non-uniform condensate 169
Entropy of liquid 8
Entropy, conservation of 100
Entropy, equation of motion 101
Entropy, filter 8
Equilibrium distribution function 24
Excitation spectrum of dilute Bose gas 148
Excitation spectrum, Feynman 15 37
Excitation spectrum, higher order calculations 149
Excitations, types of for non-uniform condensate 169
Excited states of Bose liquid 97
f-sum rule 26 38 57 89 94 108 112 144
Factorization approximation 161
Fermi liquid, normal 21
Fermion system 19
Feynman excitation spectrum 13 37
Feynman — Cohen quasi-particle 41
Feynman — Cohen theory 39
First sound 9 99
First sound, propagation of 99
First sound, velocity 10
Fountain effect 5 8
Gauge invariance 57
Ground state 19
Ground state energy of dilute Bose gas 148
Ground state energy, higher order calculations 149
Hartree — Fock approximation 141 144 147
Helium II, elementary excitation spectrum 29 37
Helium II, experimental measurements of normal fluid density 95
Helium II, microscopic theory 150
Hydrodynamic regime 98
Impurity atom 43
Impurity current 43
Induced current 54
Induced current, density in condensate 53
Induced current, paramagnetic 94
Interaction force 123
Irrotational flow 15 49 73
Kramers — Kronig relations 108
Landau criterion 77
London wave function 67 157 165
London wave function, generalized 89
Long range order 58
Longitudinal probe 56
Longitudinal probe, response to 94
Macroscopic description, limit of 105
| Macroscopic occupation of a single quantum state 19 61 133 137 155
Macroscopic quantum current 6
Mass current 64 87
Mass current, density 8 87
Mass current, net 91
mass density 8 86
Mass density, calculation of 85
Matrix element, longitudinal current density function 111
Matrix element, scattering for quasi-particle 111
Mutual friction 16 123
Neutron scattering experiments 13 30 45
Neutron scattering experiments, temperature variation in 110
Non-interacting Bose gas 19
Non-uniform condensate microscopic theory 153
Oscillations of a single, vortex line 122
Particle density 66
Particle number operator 136
Perturbation expansion 142
Phase transition in He II 18
Phonon 13 27
Phonon, decay 22 33
Phonon, energy-momentum relation 9
Phonon, lifetime 22
Phonons 22
Quantization of circulation 74
Quantization of vortex, lines 126
Quantization of vorticity 14
Quasi-particle 20
Quasi-particle phonon energy, temperature dependence of 107
Quasi-particle sound 97 106
Quasi-particle sound, transition to first sound 113
Quasi-particle sound, velocity, temperature-dependent 110
Quasi-particle, bare 41
Quasi-particle, current 91
Quasi-particle, decay 33
Quasi-particle, distribution 24
Quasi-particle, energy 21 32 34
Quasi-particle, excitations 22
Quasi-particle, excitations at finite temperatures 45
Quasi-particle, Feynman — Cohen 41
Quasi-particle, matrix element for scattering 111
Quasi-particle, spectrum 107
Random phase approximation (RPA) 143
Resistance-free flow 50 75
Response function, density-density 98
Response function, finite temperature current-current 89
Response function, general 58
Response function, longitudinal current-current 57
Response function, transverse 52
Response function, transverse current-current 54
Rotating bucket experiment 49 51—52 86
Rotating bucket experiment, vortex lines in 125
Rotational flow 14
Rotational kinetic energy 117
Roton 13 42
Roton, energy 42—43 46
Roton, energy-momentum relation 10
Roton, excitations 29
Roton, line width 46
Roton, spectrum 11
Saperltud 3
Saperltud, behavior of 49
Saperltud, Bose system 155
Saperltud, turbulence 130
Scattering matrix, two-particle 146
Second sound 9 99
Second sound, attenuation 15
Second sound, propagation of 99
Second sound, velocity 10
Sound velocity of dilute Bose gas 148
Sound velocity, macroscopic 27
Sound wave attenuation 113
Specific heat of He II 18
Static form factor,  27 32 34
Sum rules 23 26—28 99 103—104 107—108 112 141
Sum rules, compressibility 26 108—109 112 144
Sum rules, f 26 38 57 89 94 108 112 144
Superfluid flow 14 50 61 90
Superfluid flow, equation of motion for 84
Superfluid flow, irrotational character 73
Superfluid flow, linearized equation of motion 82
Superfluid flow, longitudinal 73 79
Superfluid flow, macroscopic limit 61
Superfluid flow, steady 73
Theory, microscopic, He II 150
Theory, microscopic, non-uniform condensate 153
Theory, microscopic, uniform condensate 133
Thermal wave 9
Thermal wave, speed of propagation 11
Torsional oscillations 10
Transition temperature 23
Transverse probe 49 52
Turbulent state 130
Two-fluid model 7 9—11 85
Two-fluid model in narrow pipe 87
Two-fluid model, non-equilibrium situations 100
Ultrasonic attenuation 113
Upper threshold for vortices 128
Vector potential, longitudinal static 94
Velocity field 51
Velocity from curved vortex 118
Velocity of superfluid 70
Velocity of vortex line 121
Viscosity of He II 8
Viscosity, coefficient of 8
Vortex in rotating bucket 50 53
Vortex line, dynamics of 119
Vortex line, single quantized 16
Vortex lines 15—16 115
Vortex lines in a rotating bucket 125
Vortex lines, energy per unit length 168
Vortex lines, interaction energy between 119
Vortex lines, kinetic energy of an array 127
Vortex lines, microscopic structure of 166
Vortex lines, oscillations 122
Vortex lines, quantization of 116 126
Vortex lines, quantized 15
Vortex lines, structure of 115
Vortex lines, velocity 121
Vortex ring 117
Vortex ring, circular 120
Vortex ring, single quantized charged 17
Vortex, circulation quanta in 167
Vortex, critical velocity for 128
Vortex, upper threshold for 128
Weak coupling approximation 138
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