## 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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They were later recognized by von Neumann as forming an abstract

They were later recognized by von Neumann as forming an abstract

**Hilbert space**. The inner product (also needed to define a**Hilbert space**, and formally indicated by the distinction between “bra” and “ket” vectors) is not part of the ... Ë¹éÒ 17

... the number n has to be replaced with the continuous coordinates a, y, z, leading to the “improper” Hilbert states r). ... pure and exhaustive (that is, complete, XL P, = 1), they represent a basis of the corresponding

... the number n has to be replaced with the continuous coordinates a, y, z, leading to the “improper” Hilbert states r). ... pure and exhaustive (that is, complete, XL P, = 1), they represent a basis of the corresponding

**Hilbert space**. Ë¹éÒ 18

Its dependence on the complex coefficients c, requires that states which differ from one another by a numerical factor must be different “in reality”. This is true even though they represent the same “ray” in

Its dependence on the complex coefficients c, requires that states which differ from one another by a numerical factor must be different “in reality”. This is true even though they represent the same “ray” in

**Hilbert space**and cannot, ... Ë¹éÒ 19

While any basis {|n)} in

While any basis {|n)} in

**Hilbert space**defines formal probabilities, pn = |(n|a)|*, only a basis consisting of states that are not immediately destroyed by decoherence defines “realizable observables”. Since the latter usually form a ...Ë¹éÒ 48

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#### 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

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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 |

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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