Theory of Quantum Fluids

Preface

Introduction

Chapter 1. Properties of the Radial Distribution Function


1.1. Definition and General Properties of Distribution Functions


1.2. Radial Distribution Function and Liquid Structure Function


1.3. Sum Rules Involving ρk


1.4. A Fluctuation Theorem for the Ground State


1.5. Examples: Ground States of Noninteracting Boson and Fermion Systems


1.6. Distribution Functions under Equilibrium Conditions


1.7. Necessary Conditions on the Radial Distribution and Liquid Structure Functions

Appendix 1-A. Fourier Analysis of Fluctuations

Appendix 1-B. Families of Radial Distribution Functions

References

Chapter 2. The Three Particle Distribution Function


2.1. Introduction


2.2. Approximate Forms


2.3. The Abe Form


2.4. The Abe Form in the Uniform Limit


2.5. The Hypernetted-Chain Approximation in the Uniform Limit


2.6. A Dynamical Consistency Condition

Appendix 2-A. A Convolution Form for p(4) and Asymmetrical Forms for p(3) and p(4)

Appendix 2-B. Reduction of Eq. (2.42) for Z3 + 1/3F3

References

Chapter 3. The Classical Sound Field and the Correspondence Principle


3.1. Introduction


3.2. Theory of Density Fluctuations


3.3. Quantum Theory of the Continuous Medium


3.4. Consequences of the Long-Range Correlations in the Particle Formulation

Appendix 3-A. Nonlocal Potential Energy in the Theory of Density Fluctuations in the Classical Fluid

Appendix 3-B. Variance and Independence in the