## The Quantum Theory of Measurement, Volume 2The amazing accuracy in verifying quantum effects experimentally has recently renewed interest in quantum mechanical measurement theory. In this book the authors give within the Hilbert space formulation of quantum mechanics a systematic exposition of the quantum theory of measurement. Their approach includes the concepts of unsharp objectification and of nonunitary transformations needed for a unifying description of various detailed investigations. The book addresses advanced students and researchers in physics and philosophy of science. In this second edition Chaps. II-IV have been substantially rewritten. In particular, an insolubility theorem for the objectification problem has been formulated in full generality, which includes unsharp object observables as well as unsharp pointers. |

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### Contents

I | 1 |

II | 2 |

III | 4 |

IV | 7 |

V | 11 |

VI | 13 |

VII | 14 |

IX | 15 |

XXXVI | 65 |

XXXVII | 69 |

XXXVIII | 72 |

XXXIX | 73 |

XL | 75 |

XLI | 77 |

XLII | 79 |

XLIII | 81 |

X | 17 |

XI | 18 |

XII | 21 |

XIII | 22 |

XIV | 25 |

XV | 27 |

XVI | 28 |

XVII | 31 |

XVIII | 33 |

XIX | 34 |

XX | 35 |

XXI | 38 |

XXII | 41 |

XXIII | 43 |

XXIV | 44 |

XXV | 46 |

XXVI | 49 |

XXVII | 50 |

XXVIII | 51 |

XXIX | 55 |

XXX | 57 |

XXXI | 58 |

XXXII | 59 |

XXXIII | 60 |

XXXIV | 63 |

XXXV | 64 |

### Common terms and phrases

characterisations classical observable commute compound system concepts Copenhagen interpretation d-ideal decoherence decomposition deficiency of information defined definite discrete observable discrete sharp observable dynamics eigenstate eigenvalues ensemble ensemble interpretation equation equivalent final component formulation Foundations of Quantum Gemenge Gleason's theorem Hence hidden variable Hilbert space ignorance interpretation interaction interpretation of quantum Joensuu Lahti Liiders measurement macroscopic many-worlds interpretation meas measured observable measurement coupling measurement outcomes measurement problem measurement scheme measurement theory measuring apparatus measuring process minimal interpretation modal interpretations Neumann notion object system objectification problem objectification requirement operator orthogonal Physical Review pointer mixture pointer objectification pointer observable pointer value-definiteness possible probabilistic probability measures probability reproducibility condition proper quantum system properties Quantum Logic Quantum Measurement quantum mechanics quantum theory reading scale relative frequency repeatable measurement result Schrodinger Sect self-adjoint operator statistical stochastic superselection rules Theorem theory of measurement transformer unitary measurement unitary premeasurement unsharp objectification urement vector