The Quantum Theory of MeasurementThe 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. |
Contents
Introduction | 1 |
Basic Features of Quantum Mechanics | 7 |
Probability Structure of Quantum Mechanics | 14 |
The Quantum Theory of Measurement | 25 |
Premeasurements | 31 |
Information Theoretical Aspects of Measurements | 64 |
6 | 72 |
8 | 83 |
9 | 89 |
Other editions - View all
The Quantum Theory of Measurement Paul Busch,Pekka J. Lahti,Peter Mittelstaedt No preview available - 2013 |
Common terms and phrases
Bibliography C*-algebra 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 finite formulation Foundations of Quantum Gdańsk Gemenge generalised Hence hidden variable Hilbert space ignorance interpretation interaction interpretation of quantum Joensuu Lahti Lüders measurement 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 P[pi Physical Review pointer objectification pointer observable pointer value-definiteness possible probabilistic probability measures probability reproducibility condition properties Quantum Logic Quantum Measurement quantum mechanics quantum theory reading scale relative frequency repeatable measurement result S(Hs Schrödinger Sect self-adjoint operator statistical stochastic superselection rules T(Hs Theorem theory of measurement tr[TE transformer unitary measurement unitary premeasurement urement vector