Probabilistic and Statistical Aspects of Quantum Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Probabilistic and Statistical Aspects of Quantum Theory write by Alexander S. Holevo. This book was released on 2011-05-05. Probabilistic and Statistical Aspects of Quantum Theory available in PDF, EPUB and Kindle. This book is devoted to aspects of the foundations of quantum mechanics in which probabilistic and statistical concepts play an essential role. The main part of the book concerns the quantitative statistical theory of quantum measurement, based on the notion of positive operator-valued measures. During the past years there has been substantial progress in this direction, stimulated to a great extent by new applications such as Quantum Optics, Quantum Communication and high-precision experiments. The questions of statistical interpretation, quantum symmetries, theory of canonical commutation relations and Gaussian states, uncertainty relations as well as new fundamental bounds concerning the accuracy of quantum measurements, are discussed in this book in an accessible yet rigorous way. Compared to the first edition, there is a new Supplement devoted to the hidden variable issue. Comments and the bibliography have also been extended and updated.
Probabilistic and Statistical Aspects of Quantum Theory
Probabilistic and Statistical Aspects of Quantum Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Probabilistic and Statistical Aspects of Quantum Theory write by Aleksandr Semenovich Kholevo. This book was released on 1982. Probabilistic and Statistical Aspects of Quantum Theory available in PDF, EPUB and Kindle.
Statistical Structure of Quantum Theory
Statistical Structure of Quantum Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Statistical Structure of Quantum Theory write by Alexander S. Holevo. This book was released on 2001-06-20. Statistical Structure of Quantum Theory available in PDF, EPUB and Kindle. New ideas on the mathematical foundations of quantum mechanics, related to the theory of quantum measurement, as well as the emergence of quantum optics, quantum electronics and optical communications have shown that the statistical structure of quantum mechanics deserves special investigation. In the meantime it has become a mature subject. In this book, the author, himself a leading researcher in this field, surveys the basic principles and results of the theory, concentrating on mathematically precise formulations. Special attention is given to the measurement dynamics. The presentation is pragmatic, concentrating on the ideas and their motivation. For detailed proofs, the readers, researchers and graduate students, are referred to the extensively documented literature.
Quantum Probability
Quantum Probability - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Probability write by Stanley P. Gudder. This book was released on 2014-06-28. Quantum Probability available in PDF, EPUB and Kindle. 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.
Probabilities in Physics
Probabilities in Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Probabilities in Physics write by Claus Beisbart. This book was released on 2011-09-15. Probabilities in Physics available in PDF, EPUB and Kindle. Many results of modern physics—those of quantum mechanics, for instance—come in a probabilistic guise. But what do probabilistic statements in physics mean? Are probabilities matters of objective fact and part of the furniture of the world, as objectivists think? Or do they only express ignorance or belief, as Bayesians suggest? And how are probabilistic hypotheses justified and supported by empirical evidence? Finally, what does the probabilistic nature of physics imply for our understanding of the world? This volume is the first to provide a philosophical appraisal of probabilities in all of physics. Its main aim is to make sense of probabilistic statements as they occur in the various physical theories and models and to provide a plausible epistemology and metaphysics of probabilities. The essays collected here consider statistical physics, probabilistic modelling, and quantum mechanics, and critically assess the merits and disadvantages of objectivist and subjectivist views of probabilities in these fields. In particular, the Bayesian and Humean views of probabilities and the varieties of Boltzmann's typicality approach are examined. The contributions on quantum mechanics discuss the special character of quantum correlations, the justification of the famous Born Rule, and the role of probabilities in a quantum field theoretic framework. Finally, the connections between probabilities and foundational issues in physics are explored. The Reversibility Paradox, the notion of entropy, and the ontology of quantum mechanics are discussed. Other essays consider Humean supervenience and the question whether the physical world is deterministic.
