Superconductivity and Quantum Fluids (eBook)

International Series of Monographs in Natural Philosophy

Zygmunt M. Galasiewicz (Autor)

eBook Download: PDF

2013 | 1. Auflage
248 Seiten
Elsevier Science (Verlag)
978-1-4831-5719-1 (ISBN)

Infos

Superconductivity and Quantum Fluids, Volume 29 presents the microscopic theory of superconductivity and superfluidity. This book discusses the characteristics of niobium, which is a type II superconductor. Organized into two parts encompassing eight chapters, this volume begins with an overview of the special Bogoliubov transformation that connects fermions with opposite spins and momenta. This text then describes the collective oscillations of the system in the cases of charged and uncharged particles. Other chapters consider the dynamical system of Fermi particles in a weak external field. This book discusses as well the theoretical explanation of superfluidity, which is as a second, very interesting phenomenon observed at low temperatures. The final chapter illustrates the linearized hydrodynamic equations and explains the mean value expressed in terms of the Fourier components of the retarded Green functions. This book is a valuable resource for physicists. Students and researchers who are interested in the fields of superconductivity and superfluidity will also find this book useful.

Inhalt

Front Cover 1
Superconductivity and Quantum Fluids 4
Copyright Page 5
Table of Contents 6
PREFACE 8
PART I. SUPERCONDUCTIVITY 10
INTRODUCTION 12
CHAPTER I. THEORY OF THE GROUND STATE 42
§ 1. The generalized Bogoliubov transformation and the principle of compensation of "dangerous" diagrams 42
§ 2. The generalized variational principle in many-body theory 47
§ 3. Solution of the general variational principle describing the superconducting state 51
§ 4. Stability of the solution describing the superconducting state 64
CHAPTER II. THERMODYNAMICS 71
§ 1. The mean value of the Hamiltonian 71
§ 2. Temperature dependence of the energy gap 75
§ 3. Thermodynamic potential 79
§ 4. Entropy and specific heat 87
§ 5. Critical magnetic field 90
CHATTER III. COLLECTIVE OSCILLATIONS 94
§ 1. The approximate second quantization Hamiltonian 94
§ 2. Diagonalization of the asq Hamiltonian and collective oscillations 98
CHAPTER IV. ELECTRODYNAMICS 112
§ 1. The asq Hamiltonian in the case of weak external fields 112
§ 2. Sum rule 116
§ 3. Gauge invariance of the current and the Meissner effect 117
PART II. QUANTUM FLUIDS 124
INTRODUCTION 126
CHAPTER V. BASIC IDENTITIES AND RELATIONS 141
§ 1. Time derivatives of some "local quantities" for Bose systems 141
§ 2. Time derivatives of some "local quantities" for Fermi systems 147
§ 3. The relations between the retarded Green functions and the variations of average values 151
§ 4. Gauge transformations and Green functions 156
CHAPTER VI. ORDINARY BOSE AND FERMI FLUIDS 162
§ 1. Hydrodynamic equations for ordinary Bose and Fermi fluids 162
§ 2. Linearized hydrodynamic equations and the retarded Green functions 172
CHAPTER VII. THE BOSE SUPERFLUID 180
§ 1. Hydrodynamic equations without viscous terms 180
§ 2.The Hydrodynamic equations with viscous terms 193
§ 3. Hydrodynamic equations in the acoustic approximation 197
§ 4. The solution of the acoustic equations and the calculation of the Green functions 201
CHAPTER VIII. THE FERMI SUPERFLUID 218
§ 1. Hydrodynamic equations 218
§ 2. The linearized hydrodynamic equations and the Green functions 229
REFERENCES 236
INDEX 244
Other Titles in the Series 248

Produkt-Details

• Erscheint lt. Verlag: 22.10.2013
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Elektrodynamik
• Themenwelt: Technik
• ISBN-10: 1-4831-5719-9 / 1483157199
• ISBN-13: 978-1-4831-5719-1 / 9781483157191