Theory of quantum liquids

Cover......Page 1
Half Title......Page 2
Title Page......Page 4
Copyright Page......Page 5
Editor’s Foreword......Page 8
Volume I......Page 10
 Special Preface......Page 14
 Preface......Page 18
 Table of Contents......Page 22
 Introduction......Page 26
 Chapter 1: Neutral Fermi Liquids......Page 30
  1.1. The Quasiparticle Concept......Page 32
  1.2. Interaction Between Quasiparticles: Landau\'s Theory of Fermi Liquids......Page 39
  1.3. Equilibrium Properties......Page 45
  1.4. Transport Equation for Quasiparticles......Page 53
  1.5. Calculation of the Current Density......Page 59
  1.6. Localized Quasiparticle Excitations......Page 64
  1.7. Collective Modes......Page 70
  1.8. Quasiparticle Collisions......Page 82
  1.9. Zero Sound vs. First Sound......Page 92
  1.10. Properties of Degenerate 3He......Page 97
  1.11. Conclusion......Page 104
  PROBLEMS......Page 105
  REFERENCES......Page 106
 Chapter 2: Response and Correlation in Neutral Systems......Page 107
  2.1. Scattering of a Particle in the Born Approximation......Page 108
  2.2. Particle Conservation: The F-Sum Rule......Page 115
  2.3. Linear Response Function......Page 120
  2.4. Qualitative Behavior of the Dynamic Form Factor for a Neutral Fermi Liquid......Page 132
  2 5. Calculation of the Density Response Function by the Landau Theory......Page 145
  2.6. Response and Correlation at Finite Temperatures......Page 155
  2.7. The Hydrodynamic Limit......Page 161
  2.8. Conclusion......Page 169
  PROBLEMS......Page 170
  REFERENCES......Page 171
 Chapter 3: Charged Fermi Liquids......Page 172
  3.1. Screening and Plasma Oscillation: An Elementary Introduction......Page 173
  3.2. Dielectric Response Function......Page 179
  3.3. Macroscopic Transport Equation......Page 182
  3.4. Macroscopic Dielectric Response of a Quantum Plasma......Page 189
  3.5. Backflow......Page 197
  3.6. Response to Electromagnetic Fields......Page 201
  3.7. Impurity Scattering......Page 212
  3.8. Electrons in Metals......Page 220
  PROBLEMS......Page 225
  REFERENCES......Page 226
 Chapter 4: Response and Correlation in Homogeneous Electron Systems......Page 227
  4.1. Dielectric Response Functions......Page 229
  4.2. Density-Fluctuation Excitations......Page 235
  4.3. Screening and Plasma Oscillation......Page 244
  4.4. Energy Loss by a Fast Electron......Page 248
  4.5. Response to a Phonon Field......Page 260
  4.6. Screening......Page 268
  4.7. Response to an Electromagnetic Field......Page 276
  PROBLEMS......Page 292
  REFERENCES......Page 293
 Chapter 5: Microscopic Theories of the Electron Liquid......Page 295
  5.1. Hartree-Fock Approximation......Page 297
  5.2. Random Phase Approximation......Page 304
  5.3. Ground State Energy in the RPA......Page 320
  5.4. Quasiparticle Properties in the RPA......Page 330
  5.5. Equations of Motion and the Generalized RPA......Page 335
  5.6. Equilibrium Properties of Simple Metals......Page 350
  PROBLEMS......Page 366
  REFERENCES......Page 368
 Appendix. Second Quantization......Page 370
 Index......Page 376
Volume II......Page 382
 Special Preface......Page 384
 Preface......Page 388
 Table of Contents......Page 392
 Introduction......Page 396
  1.1. Introduction......Page 398
  1.2. Early Experimental Evidence for the Superfluid Phase......Page 399
  1.3. Development of the Two-Fluid Model......Page 401
  1.4. Elementary Excitations: Theory and Experiment......Page 404
  1.5. Rotational Flow: Quantization of Vorticity......Page 409
  1.6. Nature of the λ-Transition......Page 413
  2.1. Non-Interacting Bose Gas......Page 414
  2.2. Quasi-particles......Page 415
  2.3. Equilibrium Distribution of Quasi-Particles at Finite Temperatures......Page 418
  2.4. Density Fluctuation Excitation Spectrum......Page 420
 Chapter 3: Elementary Excitations in He II......Page 424
  3.1. Neutron Scattering......Page 425
  3.2. Theoretical Analysis......Page 428
  3.3. Feynman Excitation Spectrum......Page 432
  3.4. Feynman-Cohen Theory......Page 434
  3.5. What is a Roton?......Page 437
  3.6. Quasi-Particle Excitations at Finite Temperatures......Page 440
 Chapter 4: Superfluid Behavior: Response to a Transverse Probe. Qualitative Behavior of a Superfluid......Page 444
  4.1. Rotating Bucket Experiment: The Transverse Response Function......Page 447
  4.2. The Transverse Response Function......Page 448
  4.3. Longitudinal vs. Transverse Response: Long Range Order......Page 451
  4.4. Coherence Length......Page 454
 Chapter 5: Superfluid Flow: Macroscopic Limit......Page 456
  5.1. Description of Condensate Motion......Page 458
  5.2. Density, Current, and Energy Associated with Condensate Motion......Page 464
  5.3. Irrotational Character of Superfluid Flow......Page 468
  5.4. Quantization of Circulation......Page 469
  5.5. Flow Without Resistance: Landau Criterion......Page 470
  5.6. Condensate Response as Superfluid Motion......Page 474
  5.7. Dynamical Properties of Condensate Motion......Page 477
  6.1. On the Calculation of pn......Page 480
  6.2. A Response-Function Definition of pn......Page 483
  6.3. Superfluid Flow......Page 485
  6.4. Response to a Longitudinal Probe......Page 489
  6.5. Experimental Measurements of pn in He II......Page 490
  7.1. Collisionless vs. Hydrodynamic Regimes......Page 492
  7.2. Two-Fluid Hydrodynamics: First and Second Sound......Page 495
  7.3. Quasi-Particle Sound......Page 501
  7.4. Transition from Quasi-Particle Sound to First Sound......Page 508
  8.1. Structure of a Vortex Line......Page 510
  8.2. Dynamics of a Vortex Line......Page 514
  8.3. Interaction Between Vortex Lines and the Normal Fluid: Mutual Friction......Page 518
  8.4. Vortex Lines in a Rotating Bucket......Page 520
  8.5. Critical Velocity for Superfluid Flow......Page 524
 Chapter 9: Microscopic Theory: Uniform Condensate......Page 528
  9.1. Basic Hamiltonian......Page 529
  9.2. Weak Coupling Approximation......Page 533
  9.3. Dilute Bose Gas......Page 540
  9.4. Application to He II......Page 545
  10.1. Condensate Wave Function......Page 548
  10.2. Dynamics of Condensate Motion......Page 554
  10.3. Simple Solutions of the Condensate Equation of Motion......Page 556
  10.4. Coherence Length......Page 559
  10.5. Microscopic Structure of a Vortex Line......Page 561
  10.6. Elementary Excitations for a Non-Uniform Condensate......Page 563
 Chapter 11: Conclusion......Page 566
 References......Page 568
 Index......Page 572