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 ˹éÒ 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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... O. Stamatescu . 357 8.1 The Question of State Vector Reduction . 8.1.1 Two Points of View 357 357 8.1.2 Decoherence , Collapse , Measurement 358 8.1.3 Various Approaches to Collapse . 8.2 Spontaneous Collapse Models Contents ΧΙ.
... O. Stamatescu . 357 8.1 The Question of State Vector Reduction . 8.1.1 Two Points of View 357 357 8.1.2 Decoherence , Collapse , Measurement 358 8.1.3 Various Approaches to Collapse . 8.2 Spontaneous Collapse Models Contents ΧΙ.
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... vectors " , which he proposed as a complete1 and general concept to characterize quantum states , regardless of any basis of representation . They were later recognized by von Neumann as forming an abstract Hilbert space . The inner ...
... vectors " , which he proposed as a complete1 and general concept to characterize quantum states , regardless of any basis of representation . They were later recognized by von Neumann as forming an abstract Hilbert space . The inner ...
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... vectors and their inner products , as described above . = Physical states are assumed to vary in time in accordance with a dynam- – iðt | a ) ical law in quantum mechanics of the form iota ) Ha ) . In contrast , a measurement device is ...
... vectors and their inner products , as described above . = Physical states are assumed to vary in time in accordance with a dynam- – iðt | a ) ical law in quantum mechanics of the form iota ) Ha ) . In contrast , a measurement device is ...
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... vector revival " ( Rempe , Walther and Klein 1987 ) . An even more complex experiment exhibiting coherent state vector re- vival was performed by means of spin waves ( Rhim , Pines and Waugh 1971 ) . In general , however , the decay ...
... vector revival " ( Rempe , Walther and Klein 1987 ) . An even more complex experiment exhibiting coherent state vector re- vival was performed by means of spin waves ( Rhim , Pines and Waugh 1971 ) . In general , however , the decay ...
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... vector , π¿ since 1 Ep.q ( Z , z ' ) : = -—-—_ eip ( z − 2 ' ) 5 б ( q = = = ) 2π 2 + 2 is a generalization of the Pauli matrices ( with an index pair p , q instead of the vector index i = 1,2,3 see also Sect . 4.4 of Zeh 2001 ) ...
... vector , π¿ since 1 Ep.q ( Z , z ' ) : = -—-—_ eip ( z − 2 ' ) 5 б ( q = = = ) 2π 2 + 2 is a generalization of the Pauli matrices ( with an index pair p , q instead of the vector index i = 1,2,3 see also Sect . 4.4 of Zeh 2001 ) ...
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1 | |
6 | |
41 | |
Decoherence in Quantum Field Theory | 181 |
Consistent Histories and Decoherence | 227 |
Giulini | 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 collapse commute components corresponding coupling decay decohered decoherence defined degrees of freedom density matrix dependence derived described diagonal Diósi discussed dynamics eigenstates electromagnetic ensemble entanglement entropy environment equation of motion evolution example exponential field formal Gaussian Ghirardi given Hamiltonian Heisenberg picture hence Hilbert space initial interaction interference interpretation Kiefer leads linear macroscopic master equation models molecules momentum Neumann nonlocal observables oscillator parameter particle phase space photon Phys physical pointer position probability projection properties pure quantum mechanics quantum system quantum theory quantum Zeno effect reduced density matrix representation represented result rotation scattering Schrödinger equation Sect spacetime spatial statistical operator stochastic subspaces subsystem superposition principle superselection rules superselection sectors symmetry timescale tion transition unitary variables vector wave function wave packets Wigner function Zurek