Theory of Quantum Fluids
- 1st Edition - December 3, 2012
- Latest edition
- Author: Eugene Feenberg
- Language: English
Theory of Quantum Fluids is a concise report on the microscopic description of liquid 4He and liquid 3He in the physical density range using simple forms of the potential function… Read more
Theory of Quantum Fluids is a concise report on the microscopic description of liquid 4He and liquid 3He in the physical density range using simple forms of the potential function between pairs of neutral atoms and the properties of the ground states and limited ranges of low excited states. The monograph covers the properties of the radial distribution function and the three-particle distribution particle; the classical sound field and the correspondence principle; paired phonon states in the free- phonon approximation; the uniform limit and the charged boson system; and the microscopic theory of a single 3He atom in the 4He liquid. Theoretical and experimental physicists will find the book very interesting.
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
- Edition: 1
- Latest edition
- Published: December 3, 2012
- Language: English
Read Theory of Quantum Fluids on ScienceDirect