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## Details

Document Type: | Book |
---|---|

All Authors / Contributors: |
Alastair I M Rae; Jim Napolitano |

ISBN: | 9781482299182 1482299186 |

OCLC Number: | 944388332 |

Description: | xxv, 413 pages : illustrations ; 24 cm |

Contents: | Machine-generated contents note: pt. I Waves, Electromagnetism, And The Limits Of Classical Physics -- ch. 1 The Physics And Mathematics Of Waves -- 1.1. A Review Of Simple Harmonic Motion -- 1.2. The Stretched String Equation Of Motion -- 1.3. Standing Waves, And Fourier Series -- 1.4. The Fourier Transform -- 1.5. Problems -- ch. 2 Maxwell's Equations And Electromagnetic Waves -- 2.1. Maxwell's Equations As Integrals -- 2.2. Surface Theorems In Vector Calculus -- 2.3. Maxwell's Equations As Derivatives -- 2.4. Electromagnetic Waves -- 2.5. Electromagnetic Radiation -- 2.6. Problems -- ch. 3 Particle Mechanics, Relativity, And Photons -- 3.1. Newton, Maxwell, And Einstein -- 3.2. Spacetime In Special Relativity -- 3.3. Velocity, Momentum, And Energy -- 3.4. Problems -- ch. 4 The Early Development Of Quantum Mechanics -- 4.1. The Photoelectric Effect -- 4.2. The Compton Effect -- 4.3. Line Spectra And Atomic Structure -- 4.4. De Broglie Waves -- 4.5. Wave-Particle Duality -- 4.6. The Rest Of This Book -- 4.7. Problems -- pt. II Elementary Wave Mechanics -- ch. 5 The One-Dimensional Schrödinger Equations -- 5.1. The Time-Dependent Schrödinger Equation -- 5.2. The Time-Independent Schrödinger Equation -- 5.3. Boundary Conditions -- 5.4. The Infinite Square Well -- 5.5. The Finite Square Well -- 5.6. Quantum Mechanical Tunnelling -- 5.7. The Harmonic Oscillator -- 5.8. Problems -- ch. 6 The Three-Dimensional Schrödinger Equations -- 6.1. The Wave Equations -- 6.2. Separation In Cartesian Coordinates -- 6.3. Separation In Spherical Polar Coordinates -- 6.4. The Hydrogenic Atom -- 6.5. Problems -- pt. III Formal Foundations -- ch. 7 The Basic Postulates Of Quantum Mechanics -- 7.1. The Wave Function -- 7.2. The Dynamical Variables -- 7.3. Probability Distributions -- 7.4. Commutation Relations -- 7.5. The Uncertainty Principle -- 7.6. The Time Dependence Of The Wave Function -- 7.7. Degeneracy -- 7.8. The Harmonic Oscillator Again -- 7.9. The Measurement Of Momentum By Compton Scattering -- 7.10. Problems -- ch. 8 Angular Momentum I -- 8.1. The Angular-Momentum Operators -- 8.2. The Angular Momentum Eigenvalues And Eigenfunctions -- 8.3. The Experimental Measurement Of Angular Momentum -- 8.4. A General Solution To The Angular-Momentum Eigenvalue Problem -- 8.5. Problems -- ch. 9 Angular Momentum II -- 9.1. Matrix Representations -- 9.2. Pauli Spin Matrices -- 9.3. Spin And The Quantum Theory Of Measurement -- 9.4. Dirac Notation -- 9.5. Spin-Orbit Coupling And The Zeeman Effect -- 9.6. A More General Treatment Of The Coupling Of Angular Momenta -- 9.7. Problems -- pt. IV Extensions And Approximation Schemes -- ch. 10 Time-Independent Perturbation Theory And The Variational Principle -- 10.1. Perturbation Theory For Non-degenerate Energy Levels -- 10.2. Perturbation Theory For Degenerate Energy Levels -- 10.3. The Variational Principle -- 10.4. Problems -- ch. 11 Time Dependence -- 11.1. Time-Independent Hamiltonians -- 11.2. The Sudden Approximation -- 11.3. Time-Dependent Perturbation Theory -- 11.4. Transitions Between Atomic Energy Levels -- 11.5. The Ehrenfest Theorem -- 11.6. The Ammonia Maser -- 11.7. Problems -- ch. 12 Scattering -- 12.1. Scattering In One Dimension -- 12.2. Scattering In Three Dimensions -- 12.3. The Born Approximation -- 12.4. Partial Wave Analysis -- 12.5. Problems -- ch. 13 Many-Particle Systems -- 13.1. General Considerations -- 13.2. Isolated Systems -- 13.3. Non-interacting Particles -- 13.4. Indistinguishable Particles -- 13.5. Many-Particle Systems -- 13.6. The Helium Atom -- 13.7. Scattering Of Identical Particles -- 13.8. Problems -- pt. V Advanced Topics -- ch. 14 Relativity And Quantum Mechanics -- 14.1. Basic Results In Special Relativity -- 14.2. The Dirac Equation -- 14.3. Anti-particles -- 14.4. Other Wave Equations -- 14.5. Quantum Field Theory And The Spin-Statistics Theorem -- 14.6. Problems -- ch. 15 Quantum Information -- 15.1. Quantum Cryptography -- 15.2. Entanglement -- 15.3. Cloning And Teleportation -- 15.4. Quantum Computing -- 15.5. Problems -- ch. 16 The Conceptual Problems Of Quantum Mechanics -- 16.1. The Conceptual Problems -- 16.2. Hidden-Variable Theories -- 16.3. Non-locality -- 16.4. The Quantum Measurement Problem -- 16.5. The Ontological Problem -- 16.6. Problems. |

Responsibility: | Alastair I.M. Rae, Jim Napolitano. |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

"This is a great introductory text to quantum mechanics with thorough explanations of the derivations. Several introductory chapters are especially useful to students with a weak background in physics. The material is well presented and contains numerous worked out problems and application examples. This can be a good reference book for modern physics laboratory classes as well." -Professor V.F. Mitrovic, Brown University "I expect this book will become a very popular and valuable text for students and instructors alike in undergraduate quantum mechanics. In part one, the authors give a helpful review of the physics-from classical waves to special relativity-that provides the necessary foundations for learning quantum mechanics. Together, parts two, three, and four then offer well-structured, splendidly written, and comprehensive coverage of undergraduate quantum mechanics, from the Schrodinger equation and its various applications, through the postulates and the formalism, to spin, perturbation theory, many-particle systems, and a very nice introduction on relativistic quantum theory. Part four provides a unique and enjoyable tour of selected advanced topics, including quantum computing and conceptual issues within quantum theory. Along the way, the authors incorporate a good number of worked examples. The end-of-chapter problems are well chosen to help with student learning. ... both students and instructors will greatly appreciate this instructive, comprehensive, and gorgeously written text." -Tim Gorringe, Professor of Physics, University of Kentucky "This text provides an updated treatment of quantum mechanics, suitable for the standard senior-level undergraduate course at U.S. colleges and universities. The text has many worked examples and a full topic coverage, including Maxwell's equations (which is a topic often left out of competing textbooks). Notable features are the section on indistinguishable particles, applications such as MRI and superconductivity, and scattering (which students often have difficulty with)." -Dr. Pete Markowitz, Professor, Department of Physics, Florida International University "The new sixth edition of this well-known textbook should be thought of as one of the best options available for undergraduate quantum mechanics courses, among a very large class of introductory books. New sections, which review the physics of waves, electricity and magnetism, and special relativity, lay the groundwork for the following chapters, which span the range from traditional quantum mechanics topics (the 1D time-independent Schrodinger equation, hydrogenic atoms, angular momentum theory, and time-independent and time-dependent perturbation theory) to more advanced topics, including scattering theory, the Dirac equation, and new topics in quantum information theory. Detailed worked examples and asides on associated applications of the principles discussed (including the physical basis of magnetic resonance imaging, electron microscopy, and scanning tunneling microscopy) enhance the educational aspects of this book." -Aaron Lindenberg, Associate Professor, Department of Materials Science and Engineering/Photon Science, Stanford University/SLAC National Accelerator Laboratory "There are many excellent quantum mechanics textbooks on the market. The book by Rae and Napolitano distinguishes itself with a unique approach by including more materials on practical applications of the theoretical concepts detailed in the text. This book can be a great choice of textbook for upper class undergraduate students in physics or students entering graduate studies in engineering schools." -Professor Chunhui Chen, Iowa State University "This is a very versatile textbook, which could be used in a variety of courses ranging from an 'honors' introductory course to a challenging undergraduate upper-class course. Concise but very readable reviews of classical waves, electromagnetism, and relativity are provided. The coverage of quantum mechanics spans elementary wave mechanics, formal theory, perturbation theory, and the Dirac equation. The book is divided into parts, making it easy for an instructor to choose the relevant material based on the level of the class." -Robert Pelcovits, Professor of Physics, Brown University Read more...

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