The Theory of Quantum Liquids, Volume 2 : superfluid bose liquids

This book provides a unified account of the theory of quantum liquid and discusses the mathematical theory of linear response and correlations. It is helpful for experimental physicists working in the fields of low-temperature or solid-state physics. Cover 1 Half Title 2 Title Page 4 Copyright Page 5 Publisher's Foreword 8 Advanced Book Classics 9 Special Preface 12 Preface 16 Introduction 20 Table of Contents 22 Chapter 1: Experimental and Theoretical Background on He II 28 1.1. Introduction 28 1.2. Early Experimental Evidence for the Superfluid Phase 29 1.3. Development of the Two-Fluid Model 31 1.4. Elementary Excitations: Theory and Experiment 34 15. Rotational Flow: Quantization of Vorticity 39 1.6. Nature of the ⋋-Transition 43 Chapter 2: Elementary Excitations 44 2.1. Non-Interacting Bose Gas 44 2.2. Quasi-particles 45 2.3. Equilibrium Distribution of Quasi-Particles at Finite Temperatures 48 2.4. Density Fluctuation Excitation Spectrum 50 Chapter 3: Elementary Excitations in He II 54 3.1. Neutron Scattering 55 3.2. Theoretical Analysis 58 3.3. Feynman Excitation Spectrum 62 3.4. Feynman-Cohen Theory 64 3.5. What is a Roton? 67 3.6. Quasi-Particle Excitations at Finite Temperatures 70 Chapter 4: Superfluid Behavior: Response to a Transverse Probe. Qualitative Behavior of a Superfluid 74 4.1. Rotating Bucket Experiment: The Transverse Response Function 77 4.2. The Transverse Response Function 78 4.3. Longitudinal vs. Transverse Response: Long Range Order 81 4.4. Coherence Length 84 Chapter 5: Superfluid Flow: Macroscopic Limit 86 5.1. Description of Condensate Motion 88 5.2. Density, Current, and Energy Associated with Condensate Motion 94 5.3. Irrotational Character of Superfluid Flow 98 5.4. Quantization of Circulation 99 5.5. Flow Without Resistance: Landau Criterion 100 5.6. Condensate Response as Superfluid Motion 104 5.7. Dynamical Properties of Condensate Motion 107 Chapter 6: Basis for the Two-Fluid Model 110 6.1. On the Calculation of pn 110 6.2. A Response-Function Definition of pn 113 6.3. Superfluid Flow 115 6.4. Response to a Longitudinal Probe 119 6.5. Experimental Measurements of pn in He II 120 Chapter 7: First, Second, and Quasi-Particle Sound 122 7.1. Collisionless vs. Hydrodynamic Regimes 122 7.2. Two-Fluid Hydrodynamics: First and Second Sound 125 7.3. Quasi-Particle Sound 131 7.4. Transition from Quasi-Particle Sound to First Sound 138 Chapter 8: Vortex Lines 140 8.1. Structure of a Vortex Line 140 8.2. Dynamics of a Vortex Line 144 8.3. Interaction Between Vortex Lines and the Normal Fluid: Mutual Friction 148 8.4. Vortex Lines in a Rotating Bucket 150 8.5. Critical Velocity for Superfluid Flow 154 Chapter 9: Microscopic Theory: Uniform Condensate 158 9.1. Basic Hamiltonian 159 9.2. Weak Coupling Approximation 163 9.3. Dilute Bose Gas 170 9.4. Application to He II 175 Chapter 10: Microscopic Theory: Non-Uniform Condensate 178 10.1. Condensate Wave Function 178 10.2. Dynamics of Condensate Motion 184 10.3. Simple Solutions of the Condensate Equation of Motion 186 10.4. Coherence Length 189 10.5. Microscopic Structure of a Vortex Line 191 10.6. Elementary Excitations for a Non-Uniform Condensate 193 Chapter 11: Conclusion 196 References 198 Index 202 Superfluid Bose Liquids This book is concerned with a single group of quantum liquids, normal Fermi liqztids, discussing the nature of elementary excitations, the central concept of response functions. It is intended as a text for a graduate course in quantum statistical mechanics or low temperature theory. V. 1. Normal Fermi Liquids. [by] David Pines [and] Philippe Nozières. V. 2 Published By Addison-wesley Publishing Co., Inc. Includes Bibliographies; V. 2, Pp.173-175.