The Theoretical Foundations Of Quantum Mechanics

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The Theoretical Foundations of Quantum Mechanics

Author : Belal E. Baaquie
Publisher : Springer Science & Business Media
Page : 274 pages
File Size : 41,8 Mb
Release : 2013-01-26
Category : Science
ISBN : 9781461462248

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The Theoretical Foundations of Quantum Mechanics by Belal E. Baaquie Pdf

The Theoretical Foundations of Quantum Mechanics addresses fundamental issues that are not discussed in most books on quantum mechanics. This book focuses on analyzing the underlying principles of quantum mechanics and explaining the conceptual and theoretical underpinning of quantum mechanics. In particular, the concepts of quantum indeterminacy, quantum measurement and quantum superposition are analyzed to clarify the concepts that are implicit in the formulation of quantum mechanics. The Schrodinger equation is never solved in the book. Rather, the discussion on the fundamentals of quantum mechanics is treated in a rigorous manner based on the mathematics of quantum mechanics. The new concept of the interplay of empirical and trans-empirical constructs in quantum mechanics is introduced to clarify the foundations of quantum mechanics and to explain the counter-intuitive construction of nature in quantum mechanics. The Theoretical Foundations of Quantum Mechanics is aimed at the advanced undergraduate and assumes introductory knowledge of quantum mechanics. Its objective is to provide a solid foundation for the reader to reach a deeper understanding of the principles of quantum mechanics.

Foundations of Quantum Mechanics

Author : Travis Norsen
Publisher : Springer
Page : 310 pages
File Size : 48,8 Mb
Release : 2017-08-17
Category : Science
ISBN : 9783319658674

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Foundations of Quantum Mechanics by Travis Norsen Pdf

Authored by an acclaimed teacher of quantum physics and philosophy, this textbook pays special attention to the aspects that many courses sweep under the carpet. Traditional courses in quantum mechanics teach students how to use the quantum formalism to make calculations. But even the best students - indeed, especially the best students - emerge rather confused about what, exactly, the theory says is going on, physically, in microscopic systems. This supplementary textbook is designed to help such students understand that they are not alone in their confusions (luminaries such as Albert Einstein, Erwin Schroedinger, and John Stewart Bell having shared them), to sharpen their understanding of the most important difficulties associated with interpreting quantum theory in a realistic manner, and to introduce them to the most promising attempts to formulate the theory in a way that is physically clear and coherent. The text is accessible to students with at least one semester of prior exposure to quantum (or "modern") physics and includes over a hundred engaging end-of-chapter "Projects" that make the book suitable for either a traditional classroom or for self-study.

Group Theoretical Foundations of Quantum Mechanics

Author : R. Mirman
Publisher : iUniverse
Page : 281 pages
File Size : 45,7 Mb
Release : 2005-05
Category : Geometric quantization
ISBN : 9780595341252

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Group Theoretical Foundations of Quantum Mechanics by R. Mirman Pdf

Table of Contents Preface 1 Foundations 1 2 Why Geometry, so Physics, Require Complex Numbers 25 3 Properties of Statefunctions 38 4 The Foundations of Coherent Superposition 58 5 Geometry, Transformations, Groups and Observers 85 6 The Poincare Group and Its Implications 108 7 The Dimension of Space 122 8 Bosons, Fermions, Spinors and Orthogonal Groups 146 9 The Complete Reasonableness of Quantum Mechanics 159 A: Terminology and Conventions 177 The Einstein Podolsky Rosen Paradox 185 Experimental Meaning of the Concept of Identical Particles 191 Nonexistence of Superselection Rules; Definition of Term "Frame of Reference" 203 Complex Groups, Quantum Mechanics, and the Dimension and Reality of Space 221 The Reality and Dimension of Space and the Complexity of Quantum Mechanics 235 References 255 Index 259.

Foundations of Quantum Theory

Author : Klaas Landsman
Publisher : Unknown
Page : 880 pages
File Size : 45,6 Mb
Release : 2020-10-09
Category : Science
ISBN : 1013278364

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Foundations of Quantum Theory by Klaas Landsman Pdf

This book studies the foundations of quantum theory through its relationship to classical physics. This idea goes back to the Copenhagen Interpretation (in the original version due to Bohr and Heisenberg), which the author relates to the mathematical formalism of operator algebras originally created by von Neumann. The book therefore includes comprehensive appendices on functional analysis and C*-algebras, as well as a briefer one on logic, category theory, and topos theory. Matters of foundational as well as mathematical interest that are covered in detail include symmetry (and its "spontaneous" breaking), the measurement problem, the Kochen-Specker, Free Will, and Bell Theorems, the Kadison-Singer conjecture, quantization, indistinguishable particles, the quantum theory of large systems, and quantum logic, the latter in connection with the topos approach to quantum theory. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.

Quantum Information Theory and the Foundations of Quantum Mechanics

Author : Christopher G. Timpson
Publisher : Oxford University Press
Page : 308 pages
File Size : 41,5 Mb
Release : 2013-04-25
Category : Philosophy
ISBN : 9780199296460

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Quantum Information Theory and the Foundations of Quantum Mechanics by Christopher G. Timpson Pdf

Christopher G. Timpson provides the first full-length philosophical treatment of quantum information theory and the questions it raises for our understanding of the quantum world. He argues for an ontologically deflationary account of the nature of quantum information, which is grounded in a revisionary analysis of the concepts of information.

Mathematical Foundations of Quantum Mechanics

Author : John von Neumann
Publisher : Princeton University Press
Page : 462 pages
File Size : 53,6 Mb
Release : 1955
Category : Mathematics
ISBN : 0691028931

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Mathematical Foundations of Quantum Mechanics by John von Neumann Pdf

A revolutionary book that for the first time provided a rigorous mathematical framework for quantum mechanics. -- Google books

Foundations and Interpretation of Quantum Mechanics

Author : Gennaro Auletta,Giorgio Parisi
Publisher : World Scientific
Page : 1030 pages
File Size : 46,5 Mb
Release : 2001
Category : Science
ISBN : 9810246145

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Foundations and Interpretation of Quantum Mechanics by Gennaro Auletta,Giorgio Parisi Pdf

The aim of this book is twofold: to provide a comprehensive account of the foundations of the theory and to outline a theoretical and philosophical interpretation suggested from the results of the last twenty years.There is a need to provide an account of the foundations of the theory because recent experience has largely confirmed the theory and offered a wealth of new discoveries and possibilities. On the other side, the following results have generated a new basis for discussing the problem of the interpretation: the new developments in measurement theory; the experimental generation of ?Schr”dinger cats?; recent developments which allow, for the first time, the simultaneous measurement of complementary observables; quantum information processing, teleportation and computation.To accomplish this task, the book combines historical, systematic and thematic approaches.

Quantum Theory: Informational Foundations and Foils

Author : Giulio Chiribella,Robert W. Spekkens
Publisher : Springer
Page : 528 pages
File Size : 46,5 Mb
Release : 2015-12-08
Category : Science
ISBN : 9789401773034

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Quantum Theory: Informational Foundations and Foils by Giulio Chiribella,Robert W. Spekkens Pdf

This book provides the first unified overview of the burgeoning research area at the interface between Quantum Foundations and Quantum Information. Topics include: operational alternatives to quantum theory, information-theoretic reconstructions of the quantum formalism, mathematical frameworks for operational theories, and device-independent features of the set of quantum correlations. Powered by the injection of fresh ideas from the field of Quantum Information and Computation, the foundations of Quantum Mechanics are in the midst of a renaissance. The last two decades have seen an explosion of new results and research directions, attracting broad interest in the scientific community. The variety and number of different approaches, however, makes it challenging for a newcomer to obtain a big picture of the field and of its high-level goals. Here, fourteen original contributions from leading experts in the field cover some of the most promising research directions that have emerged in the new wave of quantum foundations. The book is directed at researchers in physics, computer science, and mathematics and would be appropriate as the basis of a graduate course in Quantum Foundations.

Foundations of Quantum Theory

Author : E. M. Rasel,Wolfgang Schleich,Sabine Wölk
Publisher : Unknown
Page : 0 pages
File Size : 48,9 Mb
Release : 2019
Category : Quantum theory
ISBN : 1614999368

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Foundations of Quantum Theory by E. M. Rasel,Wolfgang Schleich,Sabine Wölk Pdf

This volume provides a summary of the lectures presented at the International School of Physics "Enrico Fermi" on the Foundations of Quantum Theory, organized by the Italian Physical Society in Varenna, Italy from 8-13 July 2016, in collaboration with the Wilhelm und Else Heraeus-Stiftung. It was the first "Enrico Fermi" Summer School on this topic since 1977.Its main goal was to provide an overview of the recent theoretical and experimental developments in an active field of research, the foundations of quantum mechanics. The field is characterized by a dichotomy of unparalleled agreement between theory and experiment on the one hand, and an enormous variety of interpretations of the underlying mathematical formalism on the other hand.This proceedings of the "Enrico Fermi" Summer School of July 2016 contains 21 contributions on a range of topics: the history and interpretations of quantum theory; the principle of complementarity and wave-particle duality; quantum theory from first principles; the reality of the wave function; the concept of the photon; measurement in quantum theory; the interface of quantum theory and general relativity; and quantum optical tests of quantum theory.

The Foundations of Quantum Theory

Author : Sol Wieder
Publisher : Elsevier
Page : 415 pages
File Size : 52,5 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323141710

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The Foundations of Quantum Theory by Sol Wieder Pdf

The Foundations of Quantum Theory discusses the correspondence between the classical and quantum theories through the Poisson bracket-commutator analogy. The book is organized into three parts encompassing 12 chapters that cover topics on one-and many-particle systems and relativistic quantum mechanics and field theory. The first part of the book discusses the developments that formed the basis for the old quantum theory and the use of classical mechanics to develop the theory of quantum mechanics. This part includes considerable chapters on the formal theory of quantum mechanics and the wave mechanics in one- and three-dimension, with an emphasis on Coulomb problem or the hydrogen atom. The second part deals with the interacting particles and noninteracting indistinguishable particles and the material covered is fundamental to almost all branches of physics. The third part presents the pertinent equations used to illustrate the relativistic quantum mechanics and quantum field theory. This book is of value to undergraduate physics students and to students who have background in mechanics, electricity and magnetism, and modern physics.

Conceptual Foundations of Quantum Field Theory

Author : Tian Yu Cao
Publisher : Cambridge University Press
Page : 424 pages
File Size : 55,7 Mb
Release : 2004-03-25
Category : Science
ISBN : 0521602726

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Conceptual Foundations of Quantum Field Theory by Tian Yu Cao Pdf

Multi-author volume on the history and philosophy of physics.

The Conceptual Foundations of Quantum Mechanics

Author : Jeffrey A. Barrett
Publisher : Oxford University Press, USA
Page : 268 pages
File Size : 43,7 Mb
Release : 2020-01-02
Category : Philosophy
ISBN : 9780198844686

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The Conceptual Foundations of Quantum Mechanics by Jeffrey A. Barrett Pdf

"The book starts with a description of classical mechanics then discusses the quantum phenomena that require us to give up our commonsense classical intuitions. We consider the physical and conceptual arguments that led to the standard von Neumann-Dirac formulation of quantum mechanics and how the standard theory explains quantum phenomena. This includes a discussion of how the theory's two dynamical laws work with the standard interpretation of states to explain determinate measurement records, quantum statistics, interference effects, entanglement, decoherence, and quantum nonlocality. A careful understanding of how the standard theory works ultimately leads to the quantum measurement problem. We consider how the measurement problem threatens the logical consistency of the standard theory then turn to a discussion of the main proposals for resolving it. This includes collapse formulations of quantum mechanics like Wigner's extension of the standard theory and the GRW approach and no-collapse formulations like pure wave mechanics, the various many-worlds theories, and Bohmian mechanics. In discussing alternative formulations of quantum mechanics we pay particular attention to the explanatory role played by each theory's empirical ontology and associated metaphysical commitments and the conceptual trade-offs between theoretical options"--

Advanced Modern Physics

Author : John Dirk Walecka
Publisher : World Scientific
Page : 498 pages
File Size : 45,6 Mb
Release : 2010
Category : Science
ISBN : 9789814291514

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Advanced Modern Physics by John Dirk Walecka Pdf

Building on the author's introduction to modern physics, this volume focuses on the reformulation of quantum mechanics, angular momentum, scattering theory, lagrangian field theory, symmetries, Feynman rules, quantum electrodynamics, including higher-order contributions, path integrals & canonical transformations for quantum systems.

Theoretical Foundations of Nanoscale Quantum Devices

Author : Malin Premaratne,Govind P. Agrawal
Publisher : Cambridge University Press
Page : 299 pages
File Size : 52,5 Mb
Release : 2021-01-07
Category : Science
ISBN : 9781108475662

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Theoretical Foundations of Nanoscale Quantum Devices by Malin Premaratne,Govind P. Agrawal Pdf

This self-contained text describes the underlying theory and approximate quantum models of real nanodevices for nanotechnology applications.

Electrochemistry

Author : Jerry Goodisman
Publisher : Wiley-Interscience
Page : 392 pages
File Size : 53,5 Mb
Release : 1987
Category : Science
ISBN : UOM:39015016018015

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Electrochemistry by Jerry Goodisman Pdf

Bringing together electrochemistry, condensed matter physics and quantum chemistry, this book stresses basic theoretical ideas rather than experimental methods, and modern developments rather than traditional macroscopic concepts. Its unifying approach integrates the underlying conceptual framework of statistical mechanics, quantum theory of metals, kinetics, etc with the facts of electrochemistry. This approach reveals the true nature of the subject, which touches on so many fields. Topics covered include electrochemistry, thermodynamics and electrostatics, statistical mechanics, structure of surfaces, interfaces, theories of the hydrated electron, diffusion and more.