## SuperconductivityThis is a text on superconductivity, an area of intense research activity worldwide. The book is in three parts. The first covers the London, Pippard and GinzburgSHLandau theories, which are used to discuss a wide range of phenomena involving surface energies, vorticity, the intermediate and mixed states, boundaries and boundary conditions, the upper critical field in bulk, thin film and anisotropic superconductors, and surface superconductivity. The second part discusses the microscopic theory of Bardeen, Cooper and Schrieffer. The theory is used to discuss quasi particle tunneling and the Josephson effects from a microscopic point of view. The final part of the book treats nonuniform superconductors using the BogoliubovSHde Gennes approach with which it is possible to extract many important results without invoking Green's function methods. This text will be of great interest to graduate students taking courses in superconductivity, superfluidity, many body theory, and quantum liquids. It will also be of value to research workers in the field of superconductivity. |

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### Contents

the Josephson lattice in 2D and 3D | 91 |

Flux pinning and flux motion | 110 |

Timedependent GL theory | 140 |

GL theory of an unconventional superfluid | 152 |

Landau Fermi liquid theory | 180 |

The microscopic theory of a uniform superconductor | 195 |

Nonuniform superconductivity | 257 |

Boundary conditions | 298 |

The isolated vortex line | 360 |

Timedependent Bogoliubov equations | 369 |

The Bogoliubov equations for an unconventional superfluid | 380 |

Superfluid 3He | 397 |

Collective modes in normal and superfluid Fermi systems | 406 |

Greens functions | 421 |

the occupation number | 458 |

Appendix B Some calculations involving the BCS wavefunction | 467 |

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### Common terms and phrases

amplitude approximation associated assume BCS theory behavior Bogoliubov equations boundary conditions calculate coefficients coherence length collective modes components constant correlation function corresponding current density defined denote dependence distribution function effect eigenfunctions eigenvalue electron equation of motion equilibrium evaluate expansion expression factor Fermi surface flux lines Fourier transform free energy frequency G-L equation G-L theory gap function Green's function Hamiltonian hence Inserting integral interaction introduce involving Josephson Josephson junction Landau layer limit linear magnetic field matrix element mean field metal normal Note obtain operator order parameter pairing potential particles perturbation phase phonon pinning force plane quantum numbers quasiclassical quasiparticle respectively resulting rewrite self-consistency shown in Fig singlet solution spin Subsec supercurrent superfluid symmetry thermodynamic time-dependent transition temperature triplet tunneling Type II superconductor upper critical field vanishes variables vector potential velocity vortex vortices wave vector wavefunction write yields zero