Quantum Probability (ISSN)

Quantum probability is a subtle blend of quantum mechanics and classical probability theory. Its important ideas can be traced to the pioneering work of Richard Feynman in his path integral formalism. Only recently have the concept and ideas of quantum probability been presented in a rigorous axiomatic framework, and this book provides a coherent and comprehensive exposition of this approach. It gives a unified treatment of operational statistics, generalized measure theory and the path integral formalism that can only be found in scattered research articles. The first two chapters survey the necessary background in quantum mechanics and probability theory and therefore the book is fairly self-contained, assuming only an elementary knowledge of linear operators in Hilbert space. Quantum probability is a subtle blend of quantum mechanics and classical probability theory. Its important ideas can be traced to the pioneering work of Richard Feynman in his path integral formalism.
Only recently have the concept and ideas of quantum probability been presented in a rigorous axiomatic framework, and this book provides a coherent and comprehensive exposition of this approach. It gives a unified treatment of operational statistics, generalized measure theory and the path integral formalism that can only be found in scattered research articles.
The first two chapters survey the necessary background in quantum mechanics and probability theory and therefore the book is fairly self-contained, assuming only an elementary knowledge of linear operators in Hilbert space. Content: Front Matter, Page iii Copyright, Page iv Dedication, Page v Preface, Pages ix-xii 1 - Classical Probability Theory, Pages 1-35 2 - Traditional Quantum Mechanics, Pages 37-69 3 - Operational Statistics, Pages 71-115 4 - Amplitudes and Transition Amplitudes, Pages 117-167 5 - Generalized Probability Spaces, Pages 169-206 6 - Probability Manifolds, Pages 207-243 7 - Discrete Quantum Mechanics, Pages 245-302 Bibliography, Pages 303-309 Index, Pages 311-316 PROBABILITY AND MATHEMATICAL STATISTICS, Pages ibc1-ibc2