Superconductivity and Quantum Fluids

PrefacePart I. SuperconductivityIntroductionChapter I. Theory of the Ground State § 1. The Generalized Bogoliubov Transformations and the Principle of Compensation of "Dangerous" Diagrams § 2. The Generalized Variational Principle in Many-Body Theory § 3. Solution of the General Variational Principle Describing the Superconducting State § 4. Stability of the Solution Describing the Superconducting State Chapter II. Thermodynamics § 1. The Mean Value of the Hamiltonian § 2. Temperature Dependence of the Energy Gap § 3. Thermodynamic Potential § 4. Entropy and Specific Heat § 5. Critical Magnetic FieldChapter III. Collective Oscillations § 1. The Approximate Second Quantization Hamiltonian § 2. Diagonalization of the Asq Hamiltonian and Collective OscillationsChapter IV. Electrodynamics § 1. The Asq Hamiltonian in the Case of Weak External Fields § 2. Sum Rule § 3. Gauge Invariance of the Current and the Meissner EffectPart II. Quantum Fluids Introduction Chapter V. Basic Identities and Relations § 1. Time Derivatives of Some "Local Quantities" for Bose Systems § 2. Time Derivatives of Some "Local Quantities" for Fermi Systems § 3. The Relations Between the Retarded Green Functions and the Variations of Average Values § 4. Gauge Transformations and Green Functions Chapter VI. Ordinary Bose and Fermi Fluids § 1. Hydrodynamic Equations for Ordinary Bose and Fermi Fluids § 2. Linearized Hydrodynamic Equations and the Retarded Green FunctionsChapter VII. The Bose Superfluid § 1. Hydrodynamic Equations without Viscous Terms § 2. Hydrodynamic Equations with Viscous Terms § 3. Hydrodynamic Equations in the Acoustic Approximation § 4. The Solution of the Acoustic Equations and the Calculation of the Green Functions Chapter VIII. The Fermi Superfluid § 1. Hydrodynamic Equations § 2. The Linearized Hydrodynamic Equations and the Green Functions ReferencesIndex Other Titles in the Series