Local Quantum Physics

Author : Rudolf Haag
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642614583

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Local Quantum Physics by Rudolf Haag Pdf

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 : Christian Beck
Publisher : Springer Nature
Page : 392 pages
File Size : 43,8 Mb
Release : 2021-08-17
Category : Science
ISBN : 9783030675332

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Local Quantum Measurement and Relativity by Christian Beck Pdf

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 : Runsheng Tu
Publisher : Cambridge Scholars Publishing
Page : 320 pages
File Size : 54,6 Mb
Release : 2018-10-19
Category : Science
ISBN : 9781527519978

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Quantum Mechanics’ Return to Local Realism by Runsheng Tu Pdf

This book proposes a model of the light knot electronic structure and the theory of quantum inverse measurement, showing that diffraction experiments can be explained by directional quantization. It points out that there exists a logical loophole in the interpretation process of quantum entanglement, and proves that there is a paradox in the uncertainty relationship. As such, the book lays the foundation for the establishment of local-realism quantum mechanics and successfully establishes the quantum mechanics of localized realism and determinism is successfully established. It will appeal to university students, teachers, and scientists, as well as science lovers.

Author : Società italiana di fisica
Publisher : Unknown
Page : 0 pages
File Size : 44,9 Mb
Release : 1969
Category : Differential equations, Partial
ISBN : OCLC:1087906543

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Local Quantum Theory by Società italiana di fisica Pdf

Algébres d'opérateurs / J. Dixmier -- Introduction aux équations aux dérivées partielles / B. Malgrange -- Local quantum theory I / H. Araki -- Models for quantum field theory / J. Glimm -- Constructing the [lambda] ([phi]4)2 theory / A.M. Jaffe-- Euclidean quantum field theory / K. Symanzik -- Integration in function space / J. Glimm -- Remarks on the operator solution of the scalar-field model / M. Guenin -- Current commutation relations, continuous tensor products and infinitely divisible group representations / R. Streater.

Author : Res Jost,Società italiana di fisica
Publisher : Unknown
Page : 302 pages
File Size : 41,8 Mb
Release : 1969
Category : Differential equations, Partial
ISBN : UCAL:B3764002

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Local Quantum Theory by Res Jost,Società italiana di fisica Pdf

Author : N.N. Bogolubov,Anatoly A. Logunov,A.I. Oksak,I. Todorov
Publisher : Springer Science & Business Media
Page : 714 pages
File Size : 44,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400904910

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General Principles of Quantum Field Theory by N.N. Bogolubov,Anatoly A. Logunov,A.I. Oksak,I. Todorov Pdf

The majority of the "memorable" results of relativistic quantum theory were obtained within the framework of the local quantum field approach. The explanation of the basic principles of the local theory and its mathematical structure has left its mark on all modern activity in this area. Originally, the axiomatic approach arose from attempts to give a mathematical meaning to the quantum field theory of strong interactions (of Yukawa type). The fields in such a theory are realized by operators in Hilbert space with a positive Poincare-invariant scalar product. This "classical" part of the axiomatic approach attained its modern form as far back as the sixties. * It has retained its importance even to this day, in spite of the fact that nowadays the main prospects for the description of the electro-weak and strong interactions are in connection with the theory of gauge fields. In fact, from the point of view of the quark model, the theory of strong interactions of Wightman type was obtained by restricting attention to just the "physical" local operators (such as hadronic fields consisting of ''fundamental'' quark fields) acting in a Hilbert space of physical states. In principle, there are enough such "physical" fields for a description of hadronic physics, although this means that one must reject the traditional local Lagrangian formalism. (The connection is restored in the approximation of low-energy "phe nomenological" Lagrangians.

Author : Haag
Publisher : Unknown
Page : 128 pages
File Size : 41,8 Mb
Release : 1993
Category : Electronic
ISBN : OCLC:249173643

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Local Quantum Physics ... by Haag Pdf

Author : Romeo Brunetti,Claudio Dappiaggi,Klaus Fredenhagen,Jakob Yngvason
Publisher : Springer
Page : 453 pages
File Size : 45,5 Mb
Release : 2015-09-04
Category : Science
ISBN : 9783319213538

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Advances in Algebraic Quantum Field Theory by Romeo Brunetti,Claudio Dappiaggi,Klaus Fredenhagen,Jakob Yngvason Pdf

This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest. The book is divided in thematic chapters covering both introductory and more advanced topics. These include the algebraic, perturbative approach to interacting quantum field theories, algebraic quantum field theory on curved spacetimes (from its structural aspects to the applications in cosmology and to the role of quantum spacetimes), algebraic conformal field theory, the Kitaev's quantum double model from the point of view of local quantum physics and constructive aspects in relation to integrable models and deformation techniques. The book is addressed to master and graduate students both in mathematics and in physics, who are interested in learning the structural aspects and the applications of algebraic quantum field theory.

Author : F. Selleri
Publisher : Springer Science & Business Media
Page : 470 pages
File Size : 51,9 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781468487749

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Quantum Mechanics Versus Local Realism by F. Selleri Pdf

If you have two small objects, one here on Earth and the other on the planet Pluto, what would you say of the following statement: No modification of the properties of the object on the earth can take place as a consequence of an interaction of the distant object with a third body also located on Pluto? The opinion that the previous statement is correct is very natural, but modern quantum theory implies that it must be wrong in certain cases. Consider in fact two arbitrary objects separated by such a large distance that they are unable to exert any important mutual influence. It is possible to show rigorously that a measurable physical quantity exists, with a value more than 40% different from the value theoretically predicted by quantum mechanics. Necessarily then, either space is largely an illusion of our senses and it does not exist objectively, or information can be sent from the future to the past, or ... something important has to be changed in modern physics. This is the essence of the Einstein-Podolsky-Rosen (EPR) paradox. A paradox is an argument that derives absurd conclusions by valid deduction from acceptable premises. In the case of the EPR paradox the absurd conclusion is that Bell's observable d should have two different values d = 2.Ji and The "acceptable premises" are the following: 1. All the empirical predictions of the existing quantum theory are correct.

Author : Ole Keller
Publisher : Springer Science & Business Media
Page : 670 pages
File Size : 54,6 Mb
Release : 2012-02-02
Category : Science
ISBN : 9783642174100

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Quantum Theory of Near-Field Electrodynamics by Ole Keller Pdf

"Quantum Theory of Near-field Electrodynamics" gives a self-contained account of the fundamental theory of field-matter interaction on a subwavelength scale. The quantum physical behavior of matter (atoms and mesoscopic media) in both classical and quantum fields is treated. The role of local-field effects and nonlocal electrodynamics, and the tight links to the theory of spatial photon localization are emphasized. The book may serve as a reference work in the field, and is of general interest for physicists working in quantum optics, mesoscopic electrodynamics and physical optics. The macroscopic and microscopic classical theories form a good starting point for the quantum approach, and these theories are presented in a manner appropriate for graduate students entering near-field optics.

Author : Gábor Hofer-Szabó,Péter Vecsernyés
Publisher : Springer
Page : 59 pages
File Size : 43,9 Mb
Release : 2018-02-20
Category : Science
ISBN : 9783319739335

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Quantum Theory and Local Causality by Gábor Hofer-Szabó,Péter Vecsernyés Pdf

​This book summarizes the results of research the authors have pursued in the past years on the problem of implementing Bell's notion of local causality in local physical theories and relating it to other important concepts and principles in the foundations of physics such as the Common Cause Principle, Bell's inequalities, the EPR (Einstein-Podolsky-Rosen) scenario, and various other locality and causality concepts. The book is intended for philosophers of science with an interest in the formal background of sciences, philosophers of physics and physicists working in foundation of physics.

Author : Jens Boos
Publisher : Springer
Page : 0 pages
File Size : 41,8 Mb
Release : 2022-10-29
Category : Science
ISBN : 303082912X

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Effects of Non-locality in Gravity and Quantum Theory by Jens Boos Pdf

This thesis is devoted to the systematic study of non-local theories that respect Lorentz invariance and are devoid of new, unphysical degrees of freedom. Such theories are attractive for phenomenological applications since they are mostly unconstrained by current experiments. Non-locality has played an increasingly important role in the physics of the last decades, appearing in effective actions in quantum field theory, and arising naturally in string theory and non-commutative geometry. It may even be a necessary ingredient for quantum theories of gravity. It is a feature of quantum entanglement, and may even solve the long-standing black hole information loss problem. “Non-locality” is a broad concept with many promising and fruitful applications in theoretical and mathematical physics. After a historical and pedagogical introduction into the concept of non-locality the author develops the notion of non-local Green functions to study various non-local weak-field problems in quantum mechanics, quantum field theory, gravity, and quantum field theory in curved spacetime. This thesis fills a gap in the literature by providing a self-contained exploration of weak-field effects in non-local theories, thereby establishing a “non-local intuition” which may serve as a stepping stone for studies of the full, non-linear problem of non-locality.

Author : Robert Nadeau,Menas Kafatos
Publisher : Oxford University Press
Page : 256 pages
File Size : 43,8 Mb
Release : 2001-05-31
Category : Science
ISBN : 9780190286811

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The Non-Local Universe by Robert Nadeau,Menas Kafatos Pdf

Classical physics states that physical reality is local--a point in space cannot influence another point beyond a relatively short distance. However, In 1997, experiments were conducted in which light particles (photons) originated under certain conditions and traveled in opposite directions to detectors located about seven miles apart. The amazing results indicated that the photons "interacted" or "communicated" with one another instantly or "in no time." Since a distance of seven miles is quite vast in quantum physics, this led physicists to an extraordinary conclusion--even if experiments could somehow be conducted in which the distance between the detectors was half-way across the known universe, the results would indicate that interaction or communication between the photons would be instantaneous. What was revealed in these little-known experiments in 1997 is that physical reality is non-local--a discovery that Robert Nadeau and Menas Kafatos view as "the most momentous in the history of science." In The Non-Local Universe, Nadeau and Kafatos offer a revolutionary look at the breathtaking implications of non-locality. They argue that since every particle in the universe has been "entangled" with other particles like the two photons in the 1997 experiments, physical reality on the most basic level is an undivided wholeness. In addition to demonstrating that physical processes are vastly interdependent and interactive, they also show that more complex systems in both physics and biology display emergent properties and/or behaviors that cannot be explained in the terms of the sum of parts. One of the most startling implications of non-locality in human terms, claim the authors, is that there is no longer any basis for believing in the stark division between mind and world that has preoccupied much of western thought since the seventeenth century. And they also make a convincing case that human consciousness can now be viewed as emergent from and seamlessly connected with the entire cosmos. In pursuing this groundbreaking argument, the authors not only provide a fascinating history of developments that led to the discovery of non-locality and the sometimes heated debate between the great scientists responsible for these discoveries. They also argue that advances in scientific knowledge have further eroded the boundaries between physics and biology, and that recent studies on the evolution of the human brain suggest that the logical foundations of mathematics and ordinary language are much more similar than we previously imagined. What this new knowledge reveals, the authors conclude, is that the connection between mind and nature is far more intimate than we previously dared to imagine. What they offer is a revolutionary look at the implications of non-locality, implications that reach deep into that most intimate aspect of humanity--consciousness.

Author : Gregg Jaeger
Publisher : Springer Science & Business Media
Page : 203 pages
File Size : 48,7 Mb
Release : 2013-08-27
Category : Science
ISBN : 9783642376290

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Quantum Objects by Gregg Jaeger Pdf

This monograph identifies the essential characteristics of the objects described by current quantum theory and considers their relationship to space-time. In the process, it explicates the senses in which quantum objects may be consistently considered to have parts of which they may be composed or into which they may be decomposed. The book also demonstrates the degree to which reduction is possible in quantum mechanics, showing it to be related to the objective indefiniteness of quantum properties and the strong non-local correlations that can occur between the physical quantities of quantum subsystems. Careful attention is paid to the relationships among such property correlations, physical causation, probability, and symmetry in quantum theory. In this way, the text identifies and clarifies the conceptual grounds underlying the unique nature of many quantum phenomena.

Author : Rudolf Haag
Publisher : Springer Science & Business Media
Page : 362 pages
File Size : 46,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642973062

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Local Quantum Physics by Rudolf Haag Pdf

Four years aga Walter Thirring suggested to me that it would be desirable to have a book describing recent results of the "algebraic approach" to quantum field theory and statistical mechanics. After long deliberations with my younger colleagues I decided to write a book but to enlarge the topic, the guiding line be ing expressed in the title "Local Quantum Physics". In essence this concerns the synthesis between special relativity and our understanding of quantum physics, together with a few other principles of a general nature. The algebraic approach, that is the characterization of the theory by a net of algebras of local observ ables, provides a concise language for this and an efficient tool for the study of the anatomy of the theory and of the relevance of various parts to qualita tive physical consequences. It is introduced in Chapter III. In compliance with the original suggestion its main results of more recent vintage are described in Chapters IV to VI. The first two chapters serve to place this material into context and make the book reasonably self contained. There is a rough tem poral order. Thus Chapter I briefly describes the pillars of the theory existing before 1950. Chapter II deals with progress in understanding and techniques in quantum field theory, achieved for the most part in the fifties and early sixties.