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Author: Christian Beck Publisher: Springer Nature ISBN: 3030675335 Category : Science Languages : en Pages : 392
Book Description
This book treats various aspects of the quantum theory of measurement, partially in a relativistic framework. Measurement(-like) processes in quantum theory are identified and analysed; and the quantum operator formalism is derived in full generality without postulating operators as observables. Consistency conditions are derived, expressing the requirement of Lorentz-frame independence of outcomes of spacelike separated measurements and implying the impossibility of using quantum nonlocality to send signals faster than light. Local commutativity is scrutinized. The localization problem of relativistic quantum theory is studied, including comprehensive derivation of the theorems of Hegerfeld, Malament and Reeh-Schlieder. Finally, the quantum formalism is derived from the dynamics of particles with definite positions in Bohmian mechanics.
Author: Christian Beck Publisher: Springer Nature ISBN: 3030675335 Category : Science Languages : en Pages : 392
Book Description
This book treats various aspects of the quantum theory of measurement, partially in a relativistic framework. Measurement(-like) processes in quantum theory are identified and analysed; and the quantum operator formalism is derived in full generality without postulating operators as observables. Consistency conditions are derived, expressing the requirement of Lorentz-frame independence of outcomes of spacelike separated measurements and implying the impossibility of using quantum nonlocality to send signals faster than light. Local commutativity is scrutinized. The localization problem of relativistic quantum theory is studied, including comprehensive derivation of the theorems of Hegerfeld, Malament and Reeh-Schlieder. Finally, the quantum formalism is derived from the dynamics of particles with definite positions in Bohmian mechanics.
Author: Pierre Meystre Publisher: Springer Science & Business Media ISBN: 1461337127 Category : Science Languages : en Pages : 695
Book Description
This volume contains the Proceedings of the NATO Advanced Study Institute "Quantum Optics and Experimental General Relativity" which was held in Bad Windsheim, Federal Republic of Germany, from August 16 to 29, 1981. At first glance, one might wonder why a meeting should cover these two topics, and a good bit of quantum measurement theory as well, all of which seem to be completely unrelated. The key to what one may call this grand unification lies in the effort, underway in a number of laboratories around the world, to detect gravitational radiation. Present research is pursuing the development of two types of detectors: laser interferometers and resonant bar detectors. Be cause the signals that one is trying to measure are so weak the quan tum mechanical nature of the detectors comes into play. The analy sis of the effects which result from this is facilitated by the use of techniques which have been developed in quantum optics over the years. This analysis also forces one to confront certain issues in the quantum theory of measurement. The laser interferometer detectors, using as they do light, are clearly within the realm of subjects usually considered by quantum optics. For example, the analysis of the noise present in such a de tector can make use of the many techniques which have been developed in quantum optics.
Author: Rudolf Haag Publisher: Springer Science & Business Media ISBN: 3642614582 Category : Science Languages : en Pages : 400
Book Description
The new edition provided the opportunity of adding a new chapter entitled "Principles and Lessons of Quantum Physics". It was a tempting challenge to try to sharpen the points at issue in the long lasting debate on the Copenhagen Spirit, to assess the significance of various arguments from our present vantage point, seventy years after the advent of quantum theory, where, after ali, some problems appear in a different light. It includes a section on the assumptions leading to the specific mathematical formalism of quantum theory and a section entitled "The evolutionary picture" describing my personal conclusions. Alto gether the discussion suggests that the conventional language is too narrow and that neither the mathematical nor the conceptual structure are built for eter nity. Future theories will demand radical changes though not in the direction of a return to determinism. Essential lessons taught by Bohr will persist. This chapter is essentially self-contained. Some new material has been added in the last chapter. It concerns the char acterization of specific theories within the general frame and recent progress in quantum field theory on curved space-time manifolds. A few pages on renor malization have been added in Chapter II and some effort has been invested in the search for mistakes and unclear passages in the first edition. The central objective of the book, expressed in the title "Local Quantum Physics", is the synthesis between special relativity and quantum theory to gether with a few other principles of general nature.
Author: Heinz-Peter Breuer Publisher: Springer Science & Business Media ISBN: 9783540659785 Category : Science Languages : en Pages : 256
Book Description
This book treats modern aspects of open systems, measurement, and decoherence in relativistic quantum theory. It starts with a comprehensive introduction to the problems related to measuring local and nonlocal observables and the constraints imposed by the causality principle. In the articles that follow, the emphasis lies on new theoretical models. Quantum dynamical semigroups and stochastic processes in Hilbert space are introduced, as are dynamical reduction models. Further topics include relativistic generalizations of the continuous spontaneous localization model and of the quantum state diffusion model and decoherence and the dynamical selection of preferred basis sets in the framework of continuous measurement theory and of the decoherent histories approach. Mathematical aspects of quantum measurement theory and dynamical entropies are also studied from the viewpoint of the operational approach to quantum mechanics.
Author: Margaret Prugovecki Publisher: Springer Science & Business Media ISBN: 9400944926 Category : Science Languages : en Pages : 319
Book Description
The principal intent of this monograph is to present in a systematic and self-con tained fashion the basic tenets, ideas and results of a framework for the consistent unification of relativity and quantum theory based on a quantum concept of spacetime, and incorporating the basic principles of the theory of stochastic spaces in combination with those of Born's reciprocity theory. In this context, by the physicial consistency of the present framework we mean that the advocated approach to relativistic quantum theory relies on a consistent probabilistic interpretation, which is proven to be a direct extrapolation of the conventional interpretation of nonrelativistic quantum mechanics. The central issue here is that we can derive conserved and relativistically convariant probability currents, which are shown to merge into their nonrelativistic counterparts in the nonrelativistic limit, and which at the same time explain the physical and mathe matical reasons behind the basic fact that no probability currents that consistently describe pointlike particle localizability exist in conventional relativistic quantum mechanics. Thus, it is not that we dispense with the concept oflocality, but rather the advanced central thesis is that the classical concept of locality based on point like localizability is inconsistent in the realm of relativistic quantum theory, and should be replaced by a concept of quantum locality based on stochastically formulated systems of covariance and related to the aforementioned currents.
Author: M. Ferrero Publisher: Springer Science & Business Media ISBN: 9401585296 Category : Science Languages : en Pages : 372
Book Description
For many physicists quantum theory contains strong conceptual difficulties, while for others the apparent conclusions about the reality of our physical world and the ways in which we discover that reality remain philosophically unacceptable. This book focuses on recent theoretical and experimental developments in the foundations of quantum physics, including topics such as the puzzles and paradoxes which appear when general relativity and quantum mechanics are combined; the emergence of classical properties from quantum mechanics; stochastic electrodynamics; EPR experiments and Bell's Theorem; the consistent histories approach and the problem of datum uniqueness in quantum mechanics; non-local measurements and teleportation of quantum states; quantum non-demolition measurements in optics and matter wave properties observed by neutron, electron and atomic interferometry. Audience: This volume is intended for graduate students of physics and those interested in the foundations of quantum theory.
Author: Richard Healey Publisher: U of Minnesota Press ISBN: 9780816630653 Category : Science Languages : en Pages : 205
Book Description
Together with relativity theory, quantum mechanics stands as the conceptual foundation of modern physics. It forms the basis by which we understand the minute workings of the subatomic world. But at its core lies a paradox--it is unmeasurable. This book presents a powerful and energetic new approach to the measurement dilemma.
Author: Christian Beck
Author: Christian Beck
Author: Richard H. Hellman
Author: Bert Schroer
Author: Pierre Meystre
Author: Rudolf Haag
Author: Heinz-Peter Breuer
Author: Margaret Prugovecki
Author: M. Ferrero
Author: Jacob Dunningham
Author: Richard Healey