Theoretical Concepts Of Quantum Mechanics

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Quantum Mechanics

Author : Leonard Susskind
Publisher : Basic Books (AZ)
ISBN 13 : 0465036678
Total Pages : 386 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis Quantum Mechanics by : Leonard Susskind

Download or read book Quantum Mechanics written by Leonard Susskind and published by Basic Books (AZ). This book was released on 2014-02-25 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the bestselling author of The Theoretical Minimum, a DIY introduction to the math and science of quantum physics First he taught you classical mechanics. Now, physicist Leonard Susskind has teamed up with data engineer Art Friedman to present the theory and associated mathematics of the strange world of quantum mechanics. In this follow-up to The Theoretical Minimum, Susskind and Friedman provide a lively introduction to this famously difficult field, which attempts to understand the behavior of sub-atomic objects through mathematical abstractions. Unlike other popularizations that shy away from quantum mechanics’ weirdness, Quantum Mechanics embraces the utter strangeness of quantum logic. The authors offer crystal-clear explanations of the principles of quantum states, uncertainty and time dependence, entanglement, and particle and wave states, among other topics, and each chapter includes exercises to ensure mastery of each area. Like The Theoretical Minimum, this volume runs parallel to Susskind’s eponymous Stanford University-hosted continuing education course. An approachable yet rigorous introduction to a famously difficult topic, Quantum Mechanics provides a tool kit for amateur scientists to learn physics at their own pace.

The Theoretical Foundations of Quantum Mechanics

Author : Belal E. Baaquie
Publisher : Springer Science & Business Media
ISBN 13 : 146146224X
Total Pages : 274 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis The Theoretical Foundations of Quantum Mechanics by : Belal E. Baaquie

Download or read book The Theoretical Foundations of Quantum Mechanics written by Belal E. Baaquie and published by Springer Science & Business Media. This book was released on 2013-01-26 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Theory: Concepts and Methods

Author : A. Peres
Publisher : Springer Science & Business Media
ISBN 13 : 0306471205
Total Pages : 463 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Quantum Theory: Concepts and Methods by : A. Peres

Download or read book Quantum Theory: Concepts and Methods written by A. Peres and published by Springer Science & Business Media. This book was released on 2006-06-01 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Principles of Quantum Theory, From Planck's Quanta to the Higgs Boson

Author : Arkady Plotnitsky
Publisher : Springer
ISBN 13 : 3319320688
Total Pages : 341 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis The Principles of Quantum Theory, From Planck's Quanta to the Higgs Boson by : Arkady Plotnitsky

Download or read book The Principles of Quantum Theory, From Planck's Quanta to the Higgs Boson written by Arkady Plotnitsky and published by Springer. This book was released on 2016-09-26 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book considers foundational thinking in quantum theory, focusing on the role the fundamental principles and principle thinking there, including thinking that leads to the invention of new principles, which is, the book contends, one of the ultimate achievements of theoretical thinking in physics and beyond. The focus on principles, prominent during the rise and in the immediate aftermath of quantum theory, has been uncommon in more recent discussions and debates concerning it. The book argues, however, that exploring the fundamental principles and principle thinking is exceptionally helpful in addressing the key issues at stake in quantum foundations and the seemingly interminable debates concerning them. Principle thinking led to major breakthroughs throughout the history of quantum theory, beginning with the old quantum theory and quantum mechanics, the first definitive quantum theory, which it remains within its proper (nonrelativistic) scope. It has, the book also argues, been equally important in quantum field theory, which has been the frontier of quantum theory for quite a while now, and more recently, in quantum information theory, where principle thinking was given new prominence. The approach allows the book to develop a new understanding of both the history and philosophy of quantum theory, from Planck’s quantum to the Higgs boson, and beyond, and of the thinking the key founding figures, such as Einstein, Bohr, Heisenberg, Schrödinger, and Dirac, as well as some among more recent theorists. The book also extensively considers the nature of quantum probability, and contains a new interpretation of quantum mechanics, “the statistical Copenhagen interpretation.” Overall, the book’s argument is guided by what Heisenberg called “the spirit of Copenhagen,” which is defined by three great divorces from the preceding foundational thinking in physics—reality from realism, probability from causality, and locality from relativity—and defined the fundamental principles of quantum theory accordingly.

Mathematical Concepts of Quantum Mechanics

Author : Stephen J. Gustafson
Publisher : Springer Science & Business Media
ISBN 13 : 3642218660
Total Pages : 380 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Mathematical Concepts of Quantum Mechanics by : Stephen J. Gustafson

Download or read book Mathematical Concepts of Quantum Mechanics written by Stephen J. Gustafson and published by Springer Science & Business Media. This book was released on 2011-09-24 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Theory: A Very Short Introduction

Author : John Polkinghorne
Publisher : OUP Oxford
ISBN 13 : 0191577677
Total Pages : 145 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Quantum Theory: A Very Short Introduction by : John Polkinghorne

Download or read book Quantum Theory: A Very Short Introduction written by John Polkinghorne and published by OUP Oxford. This book was released on 2002-05-30 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Theory is the most revolutionary discovery in physics since Newton. This book gives a lucid, exciting, and accessible account of the surprising and counterintuitive ideas that shape our understanding of the sub-atomic world. It does not disguise the problems of interpretation that still remain unsettled 75 years after the initial discoveries. The main text makes no use of equations, but there is a Mathematical Appendix for those desiring stronger fare. Uncertainty, probabilistic physics, complementarity, the problematic character of measurement, and decoherence are among the many topics discussed. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

The Conceptual Framework of Quantum Field Theory

Author : Anthony Duncan
Publisher : Oxford University Press
ISBN 13 : 0191642207
Total Pages : pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis The Conceptual Framework of Quantum Field Theory by : Anthony Duncan

Download or read book The Conceptual Framework of Quantum Field Theory written by Anthony Duncan and published by Oxford University Press. This book was released on 2012-08-09 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The book attempts to provide an introduction to quantum field theory emphasizing conceptual issues frequently neglected in more "utilitarian" treatments of the subject. The book is divided into four parts, entitled respectively "Origins", "Dynamics", "Symmetries", and "Scales". The emphasis is conceptual - the aim is to build the theory up systematically from some clearly stated foundational concepts - and therefore to a large extent anti-historical, but two historical Chapters ("Origins") are included to situate quantum field theory in the larger context of modern physical theories. The three remaining sections of the book follow a step by step reconstruction of this framework beginning with just a few basic assumptions: relativistic invariance, the basic principles of quantum mechanics, and the prohibition of physical action at a distance embodied in the clustering principle. The "Dynamics" section of the book lays out the basic structure of quantum field theory arising from the sequential insertion of quantum-mechanical, relativistic and locality constraints. The central role of symmetries in relativistic quantum field theories is explored in the third section of the book, while in the final section, entitled "Scales", we explore in detail the feature of quantum field theories most critical for their enormous phenomenological success - the scale separation property embodied by the renormalization group properties of a theory defined by an effective local Lagrangian.

Philosophy of Physics

Author : Tim Maudlin
Publisher : Princeton University Press
ISBN 13 : 069118352X
Total Pages : 249 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Philosophy of Physics by : Tim Maudlin

Download or read book Philosophy of Physics written by Tim Maudlin and published by Princeton University Press. This book was released on 2019-03-19 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Peter Woit
Publisher : Springer
ISBN 13 : 3319646125
Total Pages : 659 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Quantum Theory, Groups and Representations by : Peter Woit

Download or read book Quantum Theory, Groups and Representations written by Peter Woit and published by Springer. This book was released on 2017-11-01 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Concepts in Quantum Mechanics

Author : Vishnu S. Mathur
Publisher : CRC Press
ISBN 13 : 1420078739
Total Pages : 616 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Concepts in Quantum Mechanics by : Vishnu S. Mathur

Download or read book Concepts in Quantum Mechanics written by Vishnu S. Mathur and published by CRC Press. This book was released on 2008-12-12 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taking a conceptual approach to the subject, Concepts in Quantum Mechanics provides complete coverage of both basic and advanced topics. Following in the footsteps of Dirac's classic work Principles of Quantum Mechanics, it explains all themes from first principles.The authors present alternative ways of representing the state of a physical system,

The Strange World of Quantum Mechanics

Author : Daniel F. Styer
Publisher : Cambridge University Press
ISBN 13 : 1316101878
Total Pages : 248 pages
Book Rating : 4.3/5 (161 download)

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Book Synopsis The Strange World of Quantum Mechanics by : Daniel F. Styer

Download or read book The Strange World of Quantum Mechanics written by Daniel F. Styer and published by Cambridge University Press. This book was released on 2000-02-24 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an exceptionally accessible, accurate, and non-technical introduction to quantum mechanics. After briefly summarizing the differences between classical and quantum behaviour, this engaging account considers the Stern-Gerlach experiment and its implications, treats the concepts of probability, and then discusses the Einstein-Podolsky-Rosen paradox and Bell's theorem. Quantal interference and the concept of amplitudes are introduced and the link revealed between probabilities and the interference of amplitudes. Quantal amplitude is employed to describe interference effects. Final chapters explore exciting new developments in quantum computation and cryptography, discover the unexpected behaviour of a quantal bouncing-ball, and tackle the challenge of describing a particle with no position. Thought-provoking problems and suggestions for further reading are included. Suitable for use as a course text, The Strange World of Quantum Mechanics enables students to develop a genuine understanding of the domain of the very small. It will also appeal to general readers seeking intellectual adventure.

Consistent Quantum Theory

Author : Robert B. Griffiths
Publisher : Cambridge University Press
ISBN 13 : 9780521539296
Total Pages : 412 pages
Book Rating : 4.5/5 (392 download)

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Book Synopsis Consistent Quantum Theory by : Robert B. Griffiths

Download or read book Consistent Quantum Theory written by Robert B. Griffiths and published by Cambridge University Press. This book was released on 2003-11-13 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum mechanics is one of the most fundamental yet difficult subjects in physics. Nonrelativistic quantum theory is presented here in a clear and systematic fashion, integrating Born's probabilistic interpretation with Schrödinger dynamics. Basic quantum principles are illustrated with simple examples requiring no mathematics beyond linear algebra and elementary probability theory. The quantum measurement process is consistently analyzed using fundamental quantum principles without referring to measurement. These same principles are used to resolve several of the paradoxes that have long perplexed physicists, including the double slit and Schrödinger's cat. The consistent histories formalism used here was first introduced by the author, and extended by M. Gell-Mann, J. Hartle and R. Omnès. Essential for researchers yet accessible to advanced undergraduate students in physics, chemistry, mathematics, and computer science, this book is supplementary to standard textbooks. It will also be of interest to physicists and philosophers working on the foundations of quantum mechanics.

Quantum Theory for Mathematicians

Author : Brian C. Hall
Publisher : Springer Science & Business Media
ISBN 13 : 1461471168
Total Pages : 566 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Quantum Theory for Mathematicians by : Brian C. Hall

Download or read book Quantum Theory for Mathematicians written by Brian C. Hall and published by Springer Science & Business Media. This book was released on 2013-06-19 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.

Theoretical Concepts of Quantum Mechanics

Author : Renard Nowak
Publisher :
ISBN 13 : 9781681175331
Total Pages : 260 pages
Book Rating : 4.1/5 (753 download)

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Book Synopsis Theoretical Concepts of Quantum Mechanics by : Renard Nowak

Download or read book Theoretical Concepts of Quantum Mechanics written by Renard Nowak and published by . This book was released on 2016-08-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum theory as a scientific revolution profoundly influenced human thought about the universe and governed forces of nature. Quantum mechanics is the branch of physics relating to the very small. It results in what may appear to be some very strange conclusions about the physical world. At the scale of atoms and electrons, many of the equations of classical mechanics, which describe how things move at everyday sizes and speeds, cease to be useful. Quantum mechanics (QM) developed over many decades, beginning as a set of controversial mathematical explanations of experiments that the math of classical mechanics could not explain. It began at the turn of the 20th century, around the same time that Albert Einstein published his theory of relativity, a separate mathematical revolution in physics that describes the motion of things at high speeds. Quantum mechanics attempts to describe and account for the properties of molecules and atoms and their constituents--electrons, protons, neutrons, and other more esoteric particles such as quarks and gluons. These properties include the interactions of the particles with one another and with electromagnetic radiation. An essential feature of quantum mechanics is that it is generally impossible, even in principle, to measure a system without disturbing it; the detailed nature of this disturbance and the exact point at which it occurs are obscure and controversial. Theoretical Concepts of Quantum Mechanics 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. This book will be of valuable for students and researchers.

Foundations of Quantum Theory

Author : Klaas Landsman
Publisher :
ISBN 13 : 9781013278365
Total Pages : 880 pages
Book Rating : 4.2/5 (783 download)

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Book Synopsis Foundations of Quantum Theory by : Klaas Landsman

Download or read book Foundations of Quantum Theory written by Klaas Landsman and published by . This book was released on 2020-10-09 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Theoretical Minimum

Author : Leonard Susskind
Publisher : Basic Books
ISBN 13 : 0465038921
Total Pages : 165 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis The Theoretical Minimum by : Leonard Susskind

Download or read book The Theoretical Minimum written by Leonard Susskind and published by Basic Books. This book was released on 2014-04-22 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: A master teacher presents the ultimate introduction to classical mechanics for people who are serious about learning physics "Beautifully clear explanations of famously 'difficult' things," -- Wall Street Journal If you ever regretted not taking physics in college -- or simply want to know how to think like a physicist -- this is the book for you. In this bestselling introduction to classical mechanics, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Challenging, lucid, and concise, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.

Quantum Mechanics

Author : Mark Beck
Publisher : Oxford University Press
ISBN 13 : 0199798230
Total Pages : 529 pages
Book Rating : 4.1/5 (997 download)

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Book Synopsis Quantum Mechanics by : Mark Beck

Download or read book Quantum Mechanics written by Mark Beck and published by Oxford University Press. This book was released on 2012-07-01 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents quantum mechanics at the junior/senior undergraduate level. It is unique in that it describes not only quantum theory, but also presents five laboratories that explore truly modern aspects of quantum mechanics. These laboratories include "proving" that light contains photons, single-photon interference, and tests of local realism. The text begins by presenting the classical theory of polarization, moving on to describe the quantum theory of polarization. Analogies between the two theories minimize conceptual difficulties that students typically have when first presented with quantum mechanics. Furthermore, because the laboratories involve studying photons, using photon polarization as a prototypical quantum system allows the laboratory work to be closely integrated with the coursework. Polarization represents a two-dimensional quantum system, so the introduction to quantum mechanics uses two-dimensional state vectors and operators. This allows students to become comfortable with the mathematics of a relatively simple system, before moving on to more complicated systems. After describing polarization, the text goes on to describe spin systems, time evolution, continuous variable systems (particle in a box, harmonic oscillator, hydrogen atom, etc.), and perturbation theory. The book also includes chapters which describe material that is frequently absent from undergraduate texts: quantum measurement, entanglement, quantum field theory and quantum information. This material is connected not only to the laboratories described in the text, but also to other recent experiments. Other subjects covered that do not often make their way into undergraduate texts are coherence, complementarity, mixed states, the density operator and coherent states. Supplementary material includes further details about implementing the laboratories, including parts lists and software for running the experiments. Computer simulations of some of the experiments are available as well. A solutions manual for end-of-chapter problems is available to instructors.