## Decoherence and the Appearance of a Classical World in Quantum TheoryErich Joos, H. Dieter Zeh, Claus Kiefer, Domenico J. W. Giulini, Joachim Kupsch, Ion-Olimpiu Stamatescu Springer Science & Business Media, 9 ÁÕ.¤. 2013 - 496 Ë¹éÒ When we were preparing the first edition of this book, the concept of de coherence was known only to a minority of physicists. In the meantime, a wealth of contributions has appeared in the literature - important ones as well as serious misunderstandings. The phenomenon itself is now experimen tally clearly established and theoretically well understood in principle. New fields of application, discussed in the revised book, are chaos theory, informa tion theory, quantum computers, neuroscience, primordial cosmology, some aspects of black holes and strings, and others. While the first edition arose from regular discussions between the authors, thus leading to a clear" entanglement" of their otherwise quite different chap ters, the latter have thereafter evolved more or less independently. While this may broaden the book's scope as far as applications and methods are con cerned, it may also appear confusing to the reader wherever basic assumptions and intentions differ (as they do). For this reason we have rearranged the or der of the authors: they now appear in the same order as the chapters, such that those most closely related to the "early" and most ambitious concept of decoherence are listed first. The first three authors (Joos, Zeh, Kiefer) agree with one another that decoherence (in contradistinction to the Copen hagen interpretation) allows one to eliminate primary classical concepts, thus neither relying on an axiomatic concept of observables nor on a probability interpretation of the wave function in terms of classical concepts. |

### ¨Ò¡´éÒ¹ã¹Ë¹Ñ§Ê×Í

Ë¹éÒ xi

350 7.7.1 Spaces of Linear Operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 350 7.7.2 Complete Positivity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 354 7.7.3

350 7.7.1 Spaces of Linear Operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 350 7.7.2 Complete Positivity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 354 7.7.3

**Entropy**Inequalities . Ë¹éÒ 23

According to deterministic dynamical laws, the ensemble

According to deterministic dynamical laws, the ensemble

**entropy**of the combined system, which initially contains the**entropy**corresponding to the unknown microscopic quantity, would remain constant if it were ... Ë¹éÒ 24

**Entropy**relative to the state of information in an ideal classical measurement. Areas represent sets of microscopic states of the subsystems (while those of uncorrelated combined systems would be represented by their direct products). Ë¹éÒ 25

This description is consistent with classical concepts, where a real physical state is represented by a point in the diagram, while physical

This description is consistent with classical concepts, where a real physical state is represented by a point in the diagram, while physical

**entropy**may be characterized by means of “representative ensembles” (cf. Zeh 2001). Ë¹éÒ 26

The initial

The initial

**entropy**is smaller by one bit than in Fig. 2.1 (and may in principle vanish), since there is no initial ensemble a, b for the property to be measured. Dashed lines before the collapse now represent quantum entanglement.### ¤ÇÒÁ¤Ô´àËç¹¨Ò¡¼ÙéÍ×è¹ - à¢ÕÂ¹º·ÇÔ¨ÒÃ³ì

#### LibraryThing Review

º·ÇÔ¨ÒÃ³ì¨Ò¡¼Ùéãªé - fpagan - LibraryThingDecoherence theory explains why quantum weirdness (superposition, entanglement, etc) is absent at the macroscopic level (except for such exotica as superfluidity, superconductivity, and Bose-Einstein ... ÍèÒ¹¤ÇÒÁ¤Ô´àËç¹©ºÑºàµçÁ

### à¹×éÍËÒ

1 | |

10 | |

41 | |

Decoherence in Quantum Field Theory | 181 |

Consistent Histories and Decoherence | 227 |

Superselection Rules and Symmetries | 259 |

Open Quantum Systems | 316 |

Stochastic Collapse Models | 357 |

Related Concepts and Methods | 383 |

A1 Equation of Motion of a Mass Point | 394 |

Green Functions | 402 |

A4 Quantum Correlations | 415 |

A6 Galilean Symmetry | 425 |

A7 Stochastic Processes | 432 |

Stochastic Differential Equations | 439 |

### ©ºÑºÍ×è¹æ - ´Ù·Ñé§ËÁ´

### ¤ÓáÅÐÇÅÕ·Õè¾ººèÍÂ

algebra approximation assumed atom Brownian motion Chap classical coherence commute components concept configuration consistent histories corresponding coupling decay decohered decoherence decoherence functional defined degrees of freedom density matrix dependence derived described Diósi discussed distribution dynamics eigenstates energy ensemble entanglement entropy environment environmental decoherence equation of motion evolution example expectation values factor field finite formal Ghirardi given Hamiltonian Heisenberg picture Hence Hilbert space initial interaction interference interpretation Joos Kiefer leads linear macroscopic master equation means molecules momentum Neumann nonlocal observables oscillator parameter particle phase space photon physical pointer position probability projection operators projectors properties pure quantum mechanics quantum theory quantum Zeno effect reduced density matrix represent representation result rotation scattering Schrödinger equation Sect spatial statistical operator subspaces subsystem superposition principle superselection rules superselection sectors theorem tion transition unitary variables vector wave function wave packets Wigner function Zeno effect Zurek