## 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. |

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**represent**sets of microscopic states of the subsystems (while those of uncorrelated combined systems would be represented by their direct products). Ë¹éÒ 25

... his memory capacity (“blank paper”), which

... his memory capacity (“blank paper”), which

**represents**non-maximal entropy. ...**represent**the unknown property-to-be-measured (see the first step of Fig. Ë¹éÒ 26

Dashed lines before the collapse now

Dashed lines before the collapse now

**represent**quantum entanglement. (Compare the ensemble entropies with those of Fig. 2.1!) Increase of physical entropy ... Ë¹éÒ 30

In order to

In order to

**represent**a subjective observer, such a physical system must be in a definite state with respect to properties of which he/she/it is aware. Ë¹éÒ 34

Expectation values of a restricted set of observables would again

Expectation values of a restricted set of observables would again

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1 | |

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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 |

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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