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**Local quantum physics. Fields, particles, algebras.
2nd., rev. and enlarged ed.**
*(English)*
Zbl 0857.46057

Texts and Monographs in Physics. Berlin: Springer-Verlag. xv, 390 p. (1996).

The second edition of this book is rich of a new chapter entitled “Principles and lessons of quantum physics” in which the author discusses the points at issue in the long lasting debate on the interpretation of quantum theory. The review Zbl 0777.46037 of the first edition is still appropriate. So we concentrate here on the supplementary chapter VII.

The first section of chapter VII is concerned with the Copenhagen spirit and its criticisms. The following points are discussed: Niels Bohr’s epistemological considerations, realism, physical systems and the division problem, persistent non-classical correlations, collective coordinates, decoherence and the classical approximation, measurements, correspondence and quantization, time reflection asymmetry of statistical conclusions. The second section is devoted to the mathematical formalism: Operational assumptions, quantum logic, convex cones. Finally, in the third section the author presents his personal point of view that he calls the evolutionary picture; to quote “it replaces measurement result by the more general notion of event and may be regarded either as a different idealization from the one implied by the Bohr-Heisenberg cut or more ambitiously, as part of the conceptual structure of a wide theory to be developed”.

In this second edition bibliography grows richer in about twenty references on recent works on local quantum physics and in two books (in particular the important book by R. Omnès: “The interpretation of quantum mechanics”, Princeton (1994) in which the notion of decoherence is discussed at length).

The first section of chapter VII is concerned with the Copenhagen spirit and its criticisms. The following points are discussed: Niels Bohr’s epistemological considerations, realism, physical systems and the division problem, persistent non-classical correlations, collective coordinates, decoherence and the classical approximation, measurements, correspondence and quantization, time reflection asymmetry of statistical conclusions. The second section is devoted to the mathematical formalism: Operational assumptions, quantum logic, convex cones. Finally, in the third section the author presents his personal point of view that he calls the evolutionary picture; to quote “it replaces measurement result by the more general notion of event and may be regarded either as a different idealization from the one implied by the Bohr-Heisenberg cut or more ambitiously, as part of the conceptual structure of a wide theory to be developed”.

In this second edition bibliography grows richer in about twenty references on recent works on local quantum physics and in two books (in particular the important book by R. Omnès: “The interpretation of quantum mechanics”, Princeton (1994) in which the notion of decoherence is discussed at length).

Reviewer: P.Hillion (Le Vesinet)

### MSC:

46N50 | Applications of functional analysis in quantum physics |

46-02 | Research exposition (monographs, survey articles) pertaining to functional analysis |

00A79 | Physics |

81-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory |

81P15 | Quantum measurement theory, state operations, state preparations |

46L60 | Applications of selfadjoint operator algebras to physics |

81T10 | Model quantum field theories |