Quantum Measurement (theoretical And Mathematical Physics)
by Paul Busch /
2016 / English / EPUB
13.8 MB Download
This is a book about the Hilbert space formulation of quantum
mechanics and its measurement theory. It contains a synopsis of
what became of the Mathematical Foundations of Quantum Mechanics
since von Neumann’s classic treatise with this title. Fundamental
non-classical features of quantum mechanics―indeterminacy and
incompatibility of observables, unavoidable measurement
disturbance, entanglement, nonlocality―are explicated and
analysed using the tools of operational quantum theory.
This is a book about the Hilbert space formulation of quantum
mechanics and its measurement theory. It contains a synopsis of
what became of the Mathematical Foundations of Quantum Mechanics
since von Neumann’s classic treatise with this title. Fundamental
non-classical features of quantum mechanics―indeterminacy and
incompatibility of observables, unavoidable measurement
disturbance, entanglement, nonlocality―are explicated and
analysed using the tools of operational quantum theory.
The book is divided into four parts: 1. Mathematics provides a
systematic exposition of the Hilbert space and operator theoretic
tools and relevant measure and integration theory leading to the
Naimark and Stinespring dilation theorems; 2. Elements develops
the basic concepts of quantum mechanics and measurement theory
with a focus on the notion of approximate joint measurability; 3.
Realisations offers in-depth studies of the fundamental
observables of quantum mechanics and some of their measurement
implementations; and 4. Foundations discusses a selection of
foundational topics (quantum-classical contrast, Bell
nonlocality, measurement limitations, measurement problem,
operational axioms) from a measurement theoretic perspective.
The book is divided into four parts: 1. Mathematics provides a
systematic exposition of the Hilbert space and operator theoretic
tools and relevant measure and integration theory leading to the
Naimark and Stinespring dilation theorems; 2. Elements develops
the basic concepts of quantum mechanics and measurement theory
with a focus on the notion of approximate joint measurability; 3.
Realisations offers in-depth studies of the fundamental
observables of quantum mechanics and some of their measurement
implementations; and 4. Foundations discusses a selection of
foundational topics (quantum-classical contrast, Bell
nonlocality, measurement limitations, measurement problem,
operational axioms) from a measurement theoretic perspective.
The book is addressed to physicists, mathematicians and
philosophers of physics with an interest in the mathematical and
conceptual foundations of quantum physics, specifically from the
perspective of measurement theory.
The book is addressed to physicists, mathematicians and
philosophers of physics with an interest in the mathematical and
conceptual foundations of quantum physics, specifically from the
perspective of measurement theory.