Discrete Quantum Mechanics

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Discrete Quantum Mechanics

Author : H. Thomas Williams
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681741253
Total Pages : 137 pages
Book Rating : 4.6/5 (817 download)

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Book Synopsis Discrete Quantum Mechanics by : H. Thomas Williams

Download or read book Discrete Quantum Mechanics written by H. Thomas Williams and published by Morgan & Claypool Publishers. This book was released on 2015-12-01 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: After a quarter century of discoveries that rattled the foundations of classical mechanics and electrodynamics, the year 1926 saw the publication of two works intended to provide a theoretical structure to support new quantum explanations of the subatomic world. Heisenberg's matrix mechanics and Schrodinger’s wave mechanics provided compatible but mathematically disparate ways of unifying the discoveries of Planck, Einstein, Bohr and many others. Efforts began immediately to prove the equivalence of these two structures, culminated successfully by John von Neumann’s 1932 volume "Mathematical Foundations of Quantum Mechanics." This forms the springboard for the current effort. We begin with a presentation of a minimal set of von Neumann postulates while introducing language and notation to facilitate subsequent discussion of quantum calculations based in finite dimensional Hilbert spaces. Chapters which follow address two-state quantum systems (with spin one-half as the primary example), entanglement of multiple two-state systems, quantum angular momentum theory and quantum approaches to statistical mechanics. A concluding chapter gives an overview of issues associated with quantum mechanics in continuous infinite-dimensional Hilbert spaces.

Discrete Quantum Mechanics

Author : H T Williams
Publisher : Myprint
ISBN 13 : 9781681747651
Total Pages : 138 pages
Book Rating : 4.7/5 (476 download)

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Book Synopsis Discrete Quantum Mechanics by : H T Williams

Download or read book Discrete Quantum Mechanics written by H T Williams and published by Myprint. This book was released on 2015-12-17 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Logic

Author : Karl Svozil
Publisher : Springer Science & Business Media
ISBN 13 : 9789814021074
Total Pages : 246 pages
Book Rating : 4.0/5 (21 download)

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Book Synopsis Quantum Logic by : Karl Svozil

Download or read book Quantum Logic written by Karl Svozil and published by Springer Science & Business Media. This book was released on 1998-09-01 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Logic deals with the foundations of quantum mechanics and, related to it, the behaviour of finite, discrete deterministic systems. The quantum logical approach is particulalry suitable for the investigation and exclusion of certain hidden parameter models of quantum mechanics. Conversely, it can be used to embed quantum universes into classical ones. It is also highly relevant for the characterization of finite automation. This book has been written with a broad readership in mind. Great care has been given to the motivation of the concepts and to the explicit and detailed discussions of examples.

The Origin of Discrete Particles

Author :
Publisher :
ISBN 13 : 9814468363
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis The Origin of Discrete Particles by :

Download or read book The Origin of Discrete Particles written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics on Quantum Information Science

Author : Sergio Curilef
Publisher : BoD – Books on Demand
ISBN 13 : 1839687681
Total Pages : 192 pages
Book Rating : 4.8/5 (396 download)

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Book Synopsis Topics on Quantum Information Science by : Sergio Curilef

Download or read book Topics on Quantum Information Science written by Sergio Curilef and published by BoD – Books on Demand. This book was released on 2021-12-08 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to current research topics in quantum information science. Chapters address issues related to the implementation of new quantum information technologies and discuss developments involving the application of information-theoretical ideas to the analysis of fundamental problems at the frontiers of contemporary physics.

Quantum Relativity

Author : David R. Finkelstein
Publisher : Springer Science & Business Media
ISBN 13 : 3642609368
Total Pages : 584 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Quantum Relativity by : David R. Finkelstein

Download or read book Quantum Relativity written by David R. Finkelstein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past years the author has developed a quantum language going beyond the concepts used by Bohr and Heisenberg. The simple formal algebraic language is designed to be consistent with quantum theory. It differs from natural languages in its epistemology, modal structure, logical connections, and copulatives. Starting from ideas of John von Neumann and in part also as a response to his fundamental work, the author bases his approach on what one really observes when studying quantum processes. This way the new language can be seen as a clue to a deeper understanding of the concepts of quantum physics, at the same time avoiding those paradoxes which arise when using natural languages. The work is organized didactically: The reader learns in fairly concrete form about the language and its structure as well as about its use for physics.

The Origin of Discrete Particles

Author : Ted Bastin
Publisher : World Scientific Publishing Company
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Origin of Discrete Particles by : Ted Bastin

Download or read book The Origin of Discrete Particles written by Ted Bastin and published by World Scientific Publishing Company. This book was released on 2009 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique summary of the results of a long research project undertaken by the authors on discreteness in modern physics. In contrast with the usual expectation that discreteness is the result of mathematical tools for insertion into a continuous theory, this more basic treatment builds up the world from the discrimination of discrete entities. This gives an algebraic structure in which certain fixed numbers arise. As such, one agrees with the measured value of the fine-structure constant to one part in 10,000,000 (107).

Foundations of the Probabilistic Mechanics of Discrete Media

Author : D. R. Axelrad
Publisher : Elsevier
ISBN 13 : 1483285723
Total Pages : 175 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Foundations of the Probabilistic Mechanics of Discrete Media by : D. R. Axelrad

Download or read book Foundations of the Probabilistic Mechanics of Discrete Media written by D. R. Axelrad and published by Elsevier. This book was released on 2016-03-16 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This latest volume in the Foundations & Philosophy of Science & Technology series provides an account of probabilistic functional analysis and shows its applicability in the formulation of the behaviour of discrete media with the inclusion of microstructural effects. Although quantum mechanics have long been recognized as a stochastic theory, the introduction of probabilistic concepts and principles to classical mechanics has in general not been attempted. In this study the author takes the view that the significant field quantities of a discrete medium are random variables or functions of such variables. Hence the probabilistic mechanics of discrete media are based on the mathematical theory of probability and the axiomatics of measure theory.

Mathematical Foundations of Quantum Mechanics

Author : John von Neumann
Publisher : Princeton University Press
ISBN 13 : 9780691028934
Total Pages : 462 pages
Book Rating : 4.0/5 (289 download)

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Book Synopsis Mathematical Foundations of Quantum Mechanics by : John von Neumann

Download or read book Mathematical Foundations of Quantum Mechanics written by John von Neumann and published by Princeton University Press. This book was released on 1955 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revolutionary book that for the first time provided a rigorous mathematical framework for quantum mechanics. -- Google books

Quantum Walks for Computer Scientists

Author : Salvador Venegas-Andraca
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1598296574
Total Pages : 133 pages
Book Rating : 4.5/5 (982 download)

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Book Synopsis Quantum Walks for Computer Scientists by : Salvador Venegas-Andraca

Download or read book Quantum Walks for Computer Scientists written by Salvador Venegas-Andraca and published by Morgan & Claypool Publishers. This book was released on 2008-10-08 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum computation, one of the latest joint ventures between physics and the theory of computation, is a scientific field whose main goals include the development of hardware and algorithms based on the quantum mechanical properties of those physical systems used to implement such algorithms. Solving difficult tasks (for example, the Satisfiability Problem and other NP-complete problems) requires the development of sophisticated algorithms, many ofwhich employ stochastic processes as their mathematical basis. Discrete random walks are a popular choice among those stochastic processes. Inspired on the success of discrete random walks in algorithm development, quantum walks, an emerging field of quantum computation, is a generalization of random walks into the quantum mechanical world. The purpose of this lecture is to provide a concise yet comprehensive introduction to quantum walks. Table of Contents: Introduction / Quantum Mechanics / Theory of Computation / Classical Random Walks / Quantum Walks / Computer Science and Quantum Walks / Conclusions

The Quantum Theory of Measurement

Author : Paul Busch
Publisher : Springer Science & Business Media
ISBN 13 : 3540613552
Total Pages : 193 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis The Quantum Theory of Measurement by : Paul Busch

Download or read book The Quantum Theory of Measurement written by Paul Busch and published by Springer Science & Business Media. This book was released on 1996-07-16 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The amazing accuracy in verifying quantum effects experimentally has recently renewed interest in quantum mechanical measurement theory. In this book the authors give within the Hilbert space formulation of quantum mechanics a systematic exposition of the quantum theory of measurement. Their approach includes the concepts of unsharp objectification and of nonunitary transformations needed for a unifying description of various detailed investigations. The book addresses advanced students and researchers in physics and philosophy of science. In this second edition Chaps. II-IV have been substantially rewritten. In particular, an insolubility theorem for the objectification problem has been formulated in full generality, which includes unsharp object observables as well as unsharp pointers.

Discrete Integrable Geometry and Physics

Author : Alexander I. Bobenko
Publisher : Clarendon Press
ISBN 13 : 9780198501602
Total Pages : 466 pages
Book Rating : 4.5/5 (16 download)

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Book Synopsis Discrete Integrable Geometry and Physics by : Alexander I. Bobenko

Download or read book Discrete Integrable Geometry and Physics written by Alexander I. Bobenko and published by Clarendon Press. This book was released on 1999 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent interactions between the fields of geometry, classical and quantum dynamical systems, and visualization of geometric objects such as curves and surfaces have led to the observation that most concepts of surface theory and of the theory of integrable systems have natural discreteanalogues. These are characterized by the property that the corresponding difference equations are integrable, and has led in turn to some important applications in areas of condensed matter physics and quantum field theory, amongst others. The book combines the efforts of a distinguished team ofauthors from various fields in mathematics and physics in an effort to provide an overview of the subject. The mathematical concepts of discrete geometry and discrete integrable systems are firstly presented as fundamental and valuable theories in themselves. In the following part these concepts areput into the context of classical and quantum dynamics.

Discrete or Continuous?

Author : Amit Hagar
Publisher : Cambridge University Press
ISBN 13 : 1107062802
Total Pages : 281 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Discrete or Continuous? by : Amit Hagar

Download or read book Discrete or Continuous? written by Amit Hagar and published by Cambridge University Press. This book was released on 2014-05 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Novel conceptual analysis, fresh historical perspectives, and concrete physical examples illuminate one of the most thought-provoking topics in physics.

Philosophic Foundations of Quantum Mechanics

Author : Hans Reichenbach
Publisher : Courier Corporation
ISBN 13 : 9780486404592
Total Pages : 218 pages
Book Rating : 4.4/5 (45 download)

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Book Synopsis Philosophic Foundations of Quantum Mechanics by : Hans Reichenbach

Download or read book Philosophic Foundations of Quantum Mechanics written by Hans Reichenbach and published by Courier Corporation. This book was released on 1998-01-01 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by an internationally renowned philosopher, this volume offers a three-part philosophical interpretation of quantum physics. The first part reviews the basics of quantum mechanics; the second outlines the mathematical methods of quantum mechanics; and the third section develops a variety of interpretations of quantum mechanics. 1944 edition.

Quantum Physics Without Quantum Philosophy

Author : Detlef Dürr
Publisher : Springer Science & Business Media
ISBN 13 : 364230690X
Total Pages : 294 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Quantum Physics Without Quantum Philosophy by : Detlef Dürr

Download or read book Quantum Physics Without Quantum Philosophy written by Detlef Dürr and published by Springer Science & Business Media. This book was released on 2012-11-06 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has often been claimed that without drastic conceptual innovations a genuine explanation of quantum interference effects and quantum randomness is impossible. This book concerns Bohmian mechanics, a simple particle theory that is a counterexample to such claims. The gentle introduction and other contributions collected here show how the phenomena of non-relativistic quantum mechanics, from Heisenberg's uncertainty principle to non-commuting observables, emerge from the Bohmian motion of particles, the natural particle motion associated with Schrödinger's equation. This book will be of value to all students and researchers in physics with an interest in the meaning of quantum theory as well as to philosophers of science.

Bit-string Physics

Author : H. Pierre Noyes
Publisher : World Scientific
ISBN 13 : 9789812810090
Total Pages : 1312 pages
Book Rating : 4.8/5 (1 download)

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Book Synopsis Bit-string Physics by : H. Pierre Noyes

Download or read book Bit-string Physics written by H. Pierre Noyes and published by World Scientific. This book was released on 2001 with total page 1312 pages. Available in PDF, EPUB and Kindle. Book excerpt: We could be on the threshold of a scientific revolution. Quantum mechanics is based on unique, finite, and discrete events. General relativity assumes a continuous, curved space-time. Reconciling the two remains the most fundamental unsolved scientific problem left over from the last century. The papers of H Pierre Noyes collected in this volume reflect one attempt to achieve that unification by replacing the continuum with the bit-string events of computer science. Three principles are used: physics can determine whether two quantities are the same or different; measurement can tell something from nothing; this structure (modeled by binary addition and multiplication) can leave a historical record consisting of a growing universe of bit-strings. This book is specifically addressed to those interested in the foundations of particle physics, relativity, quantum mechanics, physical cosmology and the philosophy of science. Contents: Non-Locality in Particle Physics; On the Physical Interpretation and the Mathematical Structure of the Combinatorial Hierarchy (with T Bastin, J Amson & C W Kilmister); On the Construction of Relativistic Quantum Theory: A Progress Report; Foundations of a Discrete Physics (with D McGoveran); Comment on OC Statistical Mechanical Origin of the Entropy of a Rotating Charged Black HoleOCO Anti-Gravity: The Key to 21st Century Physics; Crossing Symmetry is Incompatible with General Relativity; Operationalism Revisited: Measurement Accuracy, Scale Invariance and the Combinatorial Hierarchy; Discrete Physics and the Derivation of Electromagnetism from the Formalism of Quantum Mechanics (with L H Kauffman); Are Partons Confined Tachyons?; A Short Introduction to Bit-String Physics; Process, System, Causality and Quantum Mechanics: A Psychoanalysis of Animal Faith (with T Etter); and other papers. Readership: Researchers interested in the foundations of particle physics, relativity, quantum mechanics, physical cosmology and the philosophy of science."

New Research in Quantum Physics

Author : Volodymyr Krasnoholovets
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis New Research in Quantum Physics by : Volodymyr Krasnoholovets

Download or read book New Research in Quantum Physics written by Volodymyr Krasnoholovets and published by . This book was released on 2004 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This outstanding new volume brings together state of the art developments in quantum physics. The forefront of contemporary advances in physics lies in the submicroscopic regime, whether it be in atomic, nuclear, condensed-matter, plasma, or particle physics, or in quantum optics, or even in the study of stellar structure. All are based upon quantum theory (i.e., quantum mechanics and quantum field theory) and relativity, which together form the theoretical foundations of modern physics. a range of possible values are in quantum theory constrained to have discontinuous, or discrete, values. The intrinsically deterministic character of classical physics is replaced in quantum theory by intrinsic uncertainty. According to quantum theory, electromagnetic radiation does not always consist of continuous waves; instead it must be viewed under some circumstances as a collection of particle-like photons, the energy and momentum of each being directly proportional to its frequency (or inversely proportional to its wavelength, the photons still possessing some wavelike characteristics). Classical Concepts (Millard Baublitz, JR, Boston University); Irreversible Time Flow and Hilbert Space Structure (Pavel Kundrat, Milos V. Lokajicek, Institute of Physics, AVCR, Czech Republic); Time as a Dynamical Variable (Z. Y. Wang, University of Electronic Science and Technology of China and B. Chen, University of Central Florida); Gamow Vectors and Time Asymmetric Quantum Mechanics (M. Gadella, Universidad de Valladolid, Spain, and S. Wickramasekara, St. Olaf College); Nonperturbative Methods in Quantum Mechanics: The Gaussian Functional Approach (J. Casahorran, Universidad de Zaragoza, Spain); Wave Packet Dynamics and Tunneling in External Time Dependent Fields: A Semiclassical Real-Time Approach (Markus Saltzer and Joachim Ankerhold, Albert-Ludwigs-Universitaet Freiburg, Germany); Finite Size Scaling in Quantum Mechanics (Sabre Kais, Purdue University and Pablo Serra, Universidad Nacional de Cordoba, Argentina); Nonlocality in Time of Interaction in Theories with Disparate Energy Scales (Renat Kh. Gainutdinov and Aigul A. Mutygullina, Kazan State University, Russia); Classical and Quantum Mechanics of A