An Introduction to the Theory of Superfluidity

Isaac M. Khalatnikov, Isaac Markovich Khalatnikov0738203009, 9780738203003, 9781429493482

A classic from 1965, this book covers the main aspects of the theory of quantum liquids, including the elementary excitation spectrum, hydrodynamics, and kinetic phenomena. The book requires no special training and assumes only general knowledge of the fundamentals of theoretical physics. It was developed from studies at the Institute of Physical Problems of the U.S.S.R. Academy of Sciences and can be used as a guide for professors teaching quantum liquid theory or as a text for graduate students.
Read and cited by scientists worldwide, Advanced Book Classics are works that continue to inform today’s groundbreaking research efforts. Redesigned and newly released in paperback, these graduate-level texts and monographs are now available to an even wider audience. Written by the most influential physicists of the twentieth century, these Advanced Book Classics promise to enrich and inspire a new generation of physicists.

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Table of contents :
Contents ……Page 14
Part I: Elementary Excitations ……Page 18
1 The Energy Spectrum of a Quantum Liquid and Superfluidity ……Page 20
2 The Thermodynamic Functions of Helium II ……Page 27
3 The Quantization of the Motion of Liquid ……Page 33
4 The Relation between the Energy Spectrum of Excitations and the Structure Factor of Liquid Helium II ……Page 37
5 The Energy Spectrum of a Weakly Nonideal Bose Gas ……Page 44
6 On the Form of the Elementary Excitation Spectrum in the Vicinity of Singular Points ……Page 49
7 Interactions between Elementary Excitations ……Page 57
Part II: Hydrodynamics ……Page 70
8 The Hydrodynamics of Superfluids ……Page 72
9 The Dissipative Terms in the Hydrodynamic Equations ……Page 80
10 The Propagation of Sound in a Superfluid ……Page 84
11 The Excitation of Sound Waves in a Superfluid ……Page 89
12 The Absorption of Sound ……Page 95
13 Discontinuities in a Superfluid ……Page 98
14 Fourth Sound ……Page 105
15 Capillary Waves ……Page 107
16 The Hydrodynamics of a Rotating Superfluid ……Page 110
17 Superfluid Hydrodynamics near the λ-point ……Page 122
Part III: Kinetic Phenomena ……Page 128
18 The Kinetic Equation for Elementary Excitations ……Page 130
19 Thermal Conductivity ……Page 137
20 The First Viscosity ……Page 143
21 The Coefficients of Second Viscosity of Helium II ……Page 146
22 Sound in Helium II near Zero Temperature ……Page 152
23 Heat Exchange between a Solid and Helium II ……Page 155
Part lV: Impurities in Helium II ……Page 164
24 Solutions of Impurities in Helium II ……Page 167
25 The Diffusion Coefficient and Thermal Conductivity in Weak Solutions He[sup(3)] in Helium II ……Page 182
References ……Page 188
Supplementary References ……Page 191
Part V: Reprints ……Page 200
“The Theory of Superfluidity of Helium II”, Journal of Physics, V, 71-90 (1941) ……Page 202
“On the Theory of Superfluidity of Helium II”, in “Letters to the Editor”, Journal of Physics, XI, 91-92 (1947) ……Page 222