Theoretical Concepts Of Quantum Mechanics

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Quantum Theory Concepts And Methods

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Author : A. Peres
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-01

Quantum Theory Concepts And Methods written by A. Peres 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 2006-06-01 with Science categories.

There are many excellent books on quantum theory from which one can learn to compute energy levels, transition rates, cross sections, etc. The theoretical rules given in these books are routinely used by physicists to compute observable quantities. Their predictions can then be compared with experimental data. There is no fundamental disagreement among physicists on how to use the theory for these practical purposes. However, there are profound differences in their opinions on the ontological meaning of quantum theory. The purpose of this book is to clarify the conceptual meaning of quantum theory, and to explain some of the mathematical methods which it utilizes. This text is not concerned with specialized topics such as atomic structure, or strong or weak interactions, but with the very foundations of the theory. This is not, however, a book on the philosophy of science. The approach is pragmatic and strictly instrumentalist. This attitude will undoubtedly antagonize some readers, but it has its own logic: quantum phenomena do not occur in a Hilbert space, they occur in a laboratory.

The Theoretical Foundations Of Quantum Mechanics

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Author : Belal E. Baaquie
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-26

The Theoretical Foundations Of Quantum Mechanics written by Belal E. Baaquie 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 2013-01-26 with Science categories.

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.

Mathematical Concepts Of Quantum Mechanics

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Author : Stephen J. Gustafson
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-24

Mathematical Concepts Of Quantum Mechanics written by Stephen J. Gustafson 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 2011-09-24 with Mathematics categories.

The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include many-body systems, modern perturbation theory, path integrals, the theory of resonances, quantum statistics, mean-field theory, second quantization, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. The last four chapters could also serve as an introductory course in quantum field theory.

Quantum Mechanics And Quantum Field Theory

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Author : Jonathan Dimock
language : en
Publisher: Cambridge University Press
Release Date : 2011-02-03

Quantum Mechanics And Quantum Field Theory written by Jonathan Dimock 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 2011-02-03 with Science categories.

Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. The textbook covers topics that are central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory. There is also background material on analysis, classical mechanics, relativity and probability. Each topic is explored through a statement of basic principles followed by simple examples. Around 100 problems throughout the textbook help readers develop their understanding.

Philosophy Of Physics

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Author : Tim Maudlin
language : en
Publisher: Princeton University Press
Release Date : 2019-03-19

Philosophy Of Physics written by Tim Maudlin and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-19 with Philosophy categories.

A sophisticated and original introduction to the philosophy of quantum mechanics from one of the world’s leading philosophers of physics In this book, Tim Maudlin, one of the world’s leading philosophers of physics, offers a sophisticated, original introduction to the philosophy of quantum mechanics. The briefest, clearest, and most refined account of his influential approach to the subject, the book will be invaluable to all students of philosophy and physics. Quantum mechanics holds a unique place in the history of physics. It has produced the most accurate predictions of any scientific theory, but, more astonishing, there has never been any agreement about what the theory implies about physical reality. Maudlin argues that the very term “quantum theory” is a misnomer. A proper physical theory should clearly describe what is there and what it does—yet standard textbooks present quantum mechanics as a predictive recipe in search of a physical theory. In contrast, Maudlin explores three proper theories that recover the quantum predictions: the indeterministic wavefunction collapse theory of Ghirardi, Rimini, and Weber; the deterministic particle theory of deBroglie and Bohm; and the conceptually challenging Many Worlds theory of Everett. Each offers a radically different proposal for the nature of physical reality, but Maudlin shows that none of them are what they are generally taken to be.

Quantum Theory Groups And Representations

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Author : Peter Woit
language : en
Publisher: Springer
Release Date : 2017-11-01

Quantum Theory Groups And Representations written by Peter Woit and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-01 with Science categories.

This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory. The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject. This text showcases the numerous differences between typical mathematical and physical treatments of the subject. The latter portions of the book focus on central mathematical objects that occur in the Standard Model of particle physics, underlining the deep and intimate connections between mathematics and the physical world. While an elementary physics course of some kind would be helpful to the reader, no specific background in physics is assumed, making this book accessible to students with a grounding in multivariable calculus and linear algebra. Many exercises are provided to develop the reader's understanding of and facility in quantum-theoretical concepts and calculations.

Theoretical Concepts Of Quantum Mechanics

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Author : Mohammad Reza Pahlavani
language : en
Publisher: BoD – Books on Demand
Release Date : 2012-02-24

Theoretical Concepts Of Quantum Mechanics written by Mohammad Reza Pahlavani and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-24 with Science categories.

Quantum theory as a scientific revolution profoundly influenced human thought about the universe and governed forces of nature. Perhaps the historical development of quantum mechanics mimics the history of human scientific struggles from their beginning. This book, which brought together an international community of invited authors, represents a rich account of foundation, scientific history of quantum mechanics, relativistic quantum mechanics and field theory, and different methods to solve the Schrodinger equation. We wish for this collected volume to become an important reference for students and researchers.

Theoretical And Quantum Mechanics

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Author : Stefan Ivanov
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-11-15

Theoretical And Quantum Mechanics written by Stefan Ivanov 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 2005-11-15 with Science categories.

Theoretical and Quantum Mechanics: Fundamentals provides an introduction to theoretical and quantum mechanics for chemists. The book includes carefully selected quantum mechanics topics of the most fundamental interest and use for chemists and classical mechanics topics that relate and illuminate these. A comprehensive treatment is given wherever possible. The book acquaints the chemists with the quantum structure of the basic object of chemistry – the atom – and the author bridges the gap between classical physics, general and inorganic chemistry, and quantum mechanics. The book provides the basics of theoretical and quantum mechanics in one place and emphasizes the continuity between them. Key topics include: applications of quantum methods to simple systems, e.g. one-dimensional potential, harmonic oscillator, hydrogen atom, hydrogen-like atoms. introduction of representation theory and elements of matrix mechanics development of the perturbation theory physical explanation of the interaction of an electron with magnetic field generalization to many-particles systems. Each chapter includes a detailed outline, a summary, self-assessment questions for which answers are in the text, a varied set of problems. In addition, the book contains many summary tables to ensure clarity of the subject. This book will be invaluable for chemistry undergraduate and graduate students, chemists, other non-physical scientists, engineering students of modern techniques and technology, specialists who need a better understanding of quantum mechanics. The book is uniquely presented to be used for self-taught courses covering theoretical and quantum mechanics. "I like the approach followed very much. ... He shows clearly that these more advanced and powerful methods can be straightforwardly applied to these problems. His transparant and elegant way of presentation will bring a deeper and more bountiful insight to the student in classical and quantum mechanics..." Steven Stolte, Department of Chemistry, Vrije Universiteit, The Netherlands. "...I think it is a very useful book to have on my bookshelves, especially since it makes a clear connection between classical and quantum mechanics. ...it is very useful for me and theoretically oriented chemists ...I found the book very useful in preparing my lectures for my first-year quantum chemistry course as it gave me more insight into the connection between quantum and classical mechanics. ...' Joop van Lenthe, Theoretical Chemistry Group, Utrecht University, The Netherlands.

Group Theoretical Foundations Of Quantum Mechanics

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Author : R. Mirman
language : en
Publisher: iUniverse
Release Date : 2005-05

Group Theoretical Foundations Of Quantum Mechanics written by R. Mirman and has been published by iUniverse this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05 with Mathematics categories.

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.

The Physical Principles Of The Quantum Theory

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Author : Werner Heisenberg
language : en
Publisher: Courier Corporation
Release Date : 2013-04-15

The Physical Principles Of The Quantum Theory written by Werner Heisenberg and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-15 with Science categories.

Nobel Laureate discusses quantum theory, uncertainty, wave mechanics, work of Dirac, Schroedinger, Compton, Einstein, others. "An authoritative statement of Heisenberg's views on this aspect of the quantum theory." — Nature.