## Quantum Tunnelling in Condensed MediaYu. Kagan, A.J. Leggett The essays in this book deal with of the problem of quantum tunnelling and related behavior of a microscopic or macroscopic system, which interacts strongly with an "environment" - this being some form of condensed matter. The "system" in question need not be physically distinct from its environment, but could, for example, be one particular degree of freedom on which attention is focussed, as in the case of the Josephson junction studied in several of the papers. This general problem has been studied in many hundreds, if not thousands, of articles in the literature, in contexts as diverse as biophysics and quantum cosmology. The editors have grouped together papers which are representative of the main trends in this area in the last fifteen years or so and sufficiently related in general spirit and terminology that common themes can be discerned. The contributions are primarily theoretical, but the comparison with experiment is discussed wherever possible. |

### Contents

CHAPTER 2 Quantum Tunneling Diffusion in Solids | 37 |

CHAPTER 3 The Decay of a Metastable State in a Multidimensional Configuration Space | 145 |

CHAPTER 4 Dissipative Quantum Mechanics of Josephson Junctions | 231 |

CHAPTER 5 Quantum Tunneling in a HighFrequency Field | 265 |

CHAPTER 6 Macroscopic Quantum Effects in the CurrentBiased Josephson Junction | 313 |

CHAPTER 7 Theory of Nonradiative Trapping in Crystals | 347 |

CHAPTER 8 Assisted Tunneling in Metallic Systems | 427 |

467 | |

477 | |

481 | |

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### Common terms and phrases

action adiabatic alternating ﬁeld amplitude approximation atoms barrier to ST behavior calculated classical coefﬁcient coherent condition consider contour corresponding coupling crystal curve deﬁned deﬁnition density matrix Devoret eigenvalue eikonal equation Eksp electron energy environment equation escape path exciton experimental exponential expression factor ﬁnd ﬁnite ﬁrst ﬂips ﬂuctuations frequency given by eq Grabert Hamiltonian instanton integral interaction Josephson junction Kagan and Prokof’ev Kondo Kondo problem Larkin and Ovchinnikov lattice Leggett Lett limit linear low temperatures macroscopic matrix element Mel’nikov metastable motion muonium obtained orbit oscillations parameters particle perturbation theory phase phonons Phys polaron polaron effect potential pre-exponential factor probability problem quantity quantum mechanics quantum tunneling quasiclassical Rashba reﬂected regime region renormalization resonance result scale semiclassical shown in ﬁg solution speciﬁc superconducting temperature dependence Teor thermal transition trapping two-phonon Vladar wave function zero