New Foundations Of Quantum Mechanics
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New Foundations Of Quantum Mechanics
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Author : Alfred Lande
language : en
Publisher: Cambridge University Press
Release Date : 2015-12-03
New Foundations Of Quantum Mechanics written by Alfred Lande and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-03 with Science categories.
Originally published in 1965, the aim of this book was to challenge the dualistic view of physics, that is, the assumption that beams of electrons consist of discrete particles and of waves. Lande argues that this dualistic view is unnecessary, not only on methodological grounds but also from the standpoint of physics. Lande sets out to point out that there are faults in the purely physical arguments, which have led to the dualistic doctrine and shows that by making use of the quantum rule for the exchange of linear momentum, established by W. Duane in 1923, wave-like phenomena can be fully explained on a unitary particle theory of matter. Chapters cover a variety of subjects and range from 'Dualism versus quantum mechanics' to the 'Origin of the quantum rules'. Appendices are included for reference. This book will be of value to students and scholars of the history of physics.
New Foundations For Information Theory
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Author : David Ellerman
language : en
Publisher: Springer Nature
Release Date : 2021-10-30
New Foundations For Information Theory written by David Ellerman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-30 with Philosophy categories.
This monograph offers a new foundation for information theory that is based on the notion of information-as-distinctions, being directly measured by logical entropy, and on the re-quantification as Shannon entropy, which is the fundamental concept for the theory of coding and communications. Information is based on distinctions, differences, distinguishability, and diversity. Information sets are defined that express the distinctions made by a partition, e.g., the inverse-image of a random variable so they represent the pre-probability notion of information. Then logical entropy is a probability measure on the information sets, the probability that on two independent trials, a distinction or “dit” of the partition will be obtained. The formula for logical entropy is a new derivation of an old formula that goes back to the early twentieth century and has been re-derived many times in different contexts. As a probability measure, all the compound notions of joint, conditional, and mutual logical entropy are immediate. The Shannon entropy (which is not defined as a measure in the sense of measure theory) and its compound notions are then derived from a non-linear dit-to-bit transform that re-quantifies the distinctions of a random variable in terms of bits—so the Shannon entropy is the average number of binary distinctions or bits necessary to make all the distinctions of the random variable. And, using a linearization method, all the set concepts in this logical information theory naturally extend to vector spaces in general—and to Hilbert spaces in particular—for quantum logical information theory which provides the natural measure of the distinctions made in quantum measurement. Relatively short but dense in content, this work can be a reference to researchers and graduate students doing investigations in information theory, maximum entropy methods in physics, engineering, and statistics, and to all those with a special interest in a new approach to quantum information theory.
An Axiomatic Basis For Quantum Mechanics
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Author : G. Ludwig
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Axiomatic Basis For Quantum Mechanics written by G. Ludwig and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
This book is the first volume of a two-volume work, which is an improved version of a preprint [47] published in German. We seek to deduce the funda mental concepts of quantum mechanics solely from a description of macroscopic devices. The microscopic systems such as electrons, atoms, etc. must be detected on the basis of the macroscopic behavior of the devices. This detection resembles the detection of the dinosaurs on the basis offossils. In this first volume we develop a general description of macroscopic systems by trajectories in state spaces. This general description is a basis for the special de scription of devices consisting of two parts, where the first part is acting on the second. The microsystems are discovered as systems transmitting the action. Axioms which describe general empirical structures of the interactions between the two parts of each device, give rise to a derivation of the Hilbert space structure of quantum mechanics. Possibly, these axioms (and consequently the Hilbert space structure) may fail to describe other realms than the structure of atoms and mole cules, for instance the "elementary particles". This book supplements ref. [2]. Both together not only give an extensive foundation of quantum mechanics but also a solution in principle of the measuring problem.
An Axiomatic Basis For Quantum Mechanics
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Author : Günther Ludwig
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Axiomatic Basis For Quantum Mechanics written by Günther Ludwig and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
In the first volume we based quantum mechanics on the objective description of macroscopic devices. The further development of the quantum mechanics of atoms, molecules, and collision processes has been described in [2]. In this context also the usual description of composite systems by tensor products of Hilbert spaces has been introduced. This method can be formally extrapolated to systems composed of "many" ele mentary systems, even arbitrarily many. One formerly had the opinion that this "extrapolated quantum mechanics" is a more comprehensive theory than the objec tive description of macrosystems, an opinion which generated unsurmountable diffi culties for explaining the measuring process. With respect to our foundation of quan tum mechanics on macroscopic objectivity, this opinion would mean that our founda tion is no foundation at all. The task of this second volume is to attain a compatibility between the objective description of macrosystems and an extrapolated quantum mechanics. Thus in X we establish the "statistical mechanics" of macrosystems as a theory more compre hensive than an extrapolated quantum mechanics. On this basis we solve the problem of the measuring process in quantum mechan ics, in XI developing a theory which describes the measuring process as an interaction between microsystems and a macroscopic device. This theory also allows to calculate "in principle" the observable measured by a device. Neither an incorporation of consciousness nor a mysterious imagination such as "collapsing" wave packets are necessary.
Logic And Probability In Quantum Mechanics
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Author : Patrick Suppes
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Logic And Probability In Quantum Mechanics written by Patrick Suppes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.
During the academic years 1972-1973 and 1973-1974, an intensive sem inar on the foundations of quantum mechanics met at Stanford on a regular basis. The extensive exploration of ideas in the seminar led to the org~ization of a double issue of Synthese concerned with the foundations of quantum mechanics, especially with the role of logic and probability in quantum meChanics. About half of the articles in the volume grew out of this seminar. The remaining articles have been so licited explicitly from individuals who are actively working in the foun dations of quantum mechanics. Seventeen of the twenty-one articles appeared in Volume 29 of Syn these. Four additional articles and a bibliography on -the history and philosophy of quantum mechanics have been added to the present volume. In particular, the articles by Bub, Demopoulos, and Lande, as well as the second article by Zanotti and myself, appear for the first time in the present volume. In preparing the articles for publication I am much indebted to Mrs. Lillian O'Toole, Mrs. Dianne Kanerva, and Mrs. Marguerite Shaw, for their extensive assistance.
New Foundation In The Sciences
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Author : V. Christianto, F. Smarandache, R.N. Boyd
language : en
Publisher: Infinite Study
Release Date :
New Foundation In The Sciences written by V. Christianto, F. Smarandache, R.N. Boyd and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
It is widely known among the Frontiers of physics, that “sweeping under the rug” practice has been quite the norm rather than exception. In other words, the leading paradigms have strong tendency to be hailed as the only game in town.
Hilbert G Ttingen And The Development Of Modern Mathematics
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Author : Joan Roselló
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2019-02-01
Hilbert G Ttingen And The Development Of Modern Mathematics written by Joan Roselló and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-01 with Mathematics categories.
David Hilbert is one of the outstanding mathematicians of the twentieth century and probably the most influential. This book highlights Hilbert’s contributions to mathematics, putting them in their historical, social and cultural context. In doing so, particular attention is paid to Hilbert’s axiomatic method and his proposal for the foundations of mathematics, the so-called Hilbert’s program. The book also discusses the development of algebraic number theory, the theory of integral equations, modern algebra and the structural image of mathematics. In addition, it considers the famous list of Mathematical Problems presented in Paris in 1900, the mathematical tradition of the University of Göttingen, the great debate on the foundations of mathematics in the twenties between formalists and intuitionists, and, finally, Hilbert’s work on the theory of relativity and the foundations of quantum mechanics. The book will primarily appeal to an academic audience, although it will also be of interest to general-interest science readers.
A New Foundation Of Physical Theories
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Author : Günther Ludwig
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-11
A New Foundation Of Physical Theories written by Günther Ludwig and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-11 with Science categories.
Written in the tradition of G. Ludwig’s groundbreaking works, this book aims to clarify and formulate more precisely the fundamental ideas of physical theories. By introducing a basic descriptive language of simple form, in which it is possible to formulate recorded facts, ambiguities of physical theories are avoided as much as possible. In this approach the field of physics that should be described by a theory is determined by basic concepts only, i.e. concepts that can be explained without a theory. In this context the authors introduce a new concept of idealization and review the process of discovering new concepts. They believe that, when the theories are formulated within an axiomatic basis, solutions can be found to many difficult problems such as the interpretation of physical theories, the relations between theories as well as the introduction of physical concepts. The book addresses both physicists and philosophers of science and should encourage the reader to contribute to the understanding of the lasting core of physical knowledge about the real structures of the world.
Mathematical And Conceptual Foundations Of 20th Century Physics
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Author : G.G. Emch
language : en
Publisher: Elsevier
Release Date : 2000-04-01
Mathematical And Conceptual Foundations Of 20th Century Physics written by G.G. Emch and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-01 with Science categories.
This book is primarily intended for Mathematicians, but students in the physical sciences will find here information not usually available in physics texts.The main aim of this book is to provide a unified mathematical account of the conceptual foundations of 20th-Century Physics, in a form suitable for a one-year survey course in Mathematics or Mathematical Physics. Emphasis is laid on the interlocked historical development of mathematical and physical ideas.
Physical Sciences And History Of Physics
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Author : Robert S. Cohen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Physical Sciences And History Of Physics written by Robert S. Cohen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
These essays on the conceptual understanding of modern physics strike directly at some of the principal difficulties faced by contemporary philos ophers of physical science. Moreover, they reverberate to earlier and classical struggles with those difficulties. Each of these essays may be seen as both a commentary on our predecessors and an original analytic interpretation. They come from work of the past decade, most from meetings of the Boston Colloquium for the Philosophy of Science, and they demonstrate again how problematic the fundamentals of our understanding of nature still are. The themes will seem to be familiar but the variations are not only ingenious but also stimulating, in some ways counterpoint. And so once again we are confronted with issues of space and time, irreversibility and measurement, matter and process, hypothetical reality and verifiability, explanation and reduction, phenomenal base and sophisticated theory, unified science and the unity of nature, and the limits of conventionalism. We are grateful for the cooperation of our contributors, and in particular for the agreement of George Ellis and C. F. von Weizsiicker to allow us to use previously published papers.