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Quantum Mechanics 6th edition [Pehme köide]

(University of Birmingham, UK)
  • Formaat: Paperback / softback, 440 pages, kõrgus x laius: 234x156 mm, kaal: 620 g, 5 Tables, black and white; 74 Illustrations, black and white
  • Ilmumisaeg: 15-Dec-2015
  • Kirjastus: CRC Press Inc
  • ISBN-10: 1482299186
  • ISBN-13: 9781482299182
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  • Formaat: Paperback / softback, 440 pages, kõrgus x laius: 234x156 mm, kaal: 620 g, 5 Tables, black and white; 74 Illustrations, black and white
  • Ilmumisaeg: 15-Dec-2015
  • Kirjastus: CRC Press Inc
  • ISBN-10: 1482299186
  • ISBN-13: 9781482299182
A Thorough Update of One of the Most Highly Regarded Textbooks on Quantum Mechanics

Continuing to offer an exceptionally clear, up-to-date treatment of the subject, Quantum Mechanics, Sixth Edition explains the concepts of quantum mechanics for undergraduate students in physics and related disciplines and provides the foundation necessary for other specialized courses. This sixth edition builds on its highly praised predecessors to make the text even more accessible to a wider audience. It is now divided into five parts that separately cover broad topics suitable for any general course on quantum mechanics.

New to the Sixth Edition





Three chapters that review prerequisite physics and mathematics, laying out the notation, formalism, and physical basis necessary for the rest of the book Short descriptions of numerous applications relevant to the physics discussed, giving students a brief look at what quantum mechanics has made possible industrially and scientifically Additional end-of-chapter problems with different ranges of difficulty

This exemplary text shows students how cutting-edge theoretical topics are applied to a variety of areas, from elementary atomic physics and mathematics to angular momentum and time dependence to relativity and quantum computing. Many examples and exercises illustrate the principles and test students understanding.

Arvustused

"The sixth edition of Alastair Raes Quantum Mechanics (co-authored by Jim Napolitano) is a valid undergraduate-level introductory text. Well suited for students in Chemistry, Materials Science, and Engineeringnow the book is divided into 5 conceptual "Parts", which helps teachers in selecting only the topics which are more suitable for the background of their students Chapter 15, indeed, provides an accessible introduction to present-day "hot" research areas (quantum cryptography, quantum computing, teleportation), even working out some simple but intriguing examples, likely to stimulate further interest in Quantum Mechanicsthe last chapter of the book deals with conceptual problems in Quantum Mechanics. Here authors present a beautiful, in-depth analysis of the concept of quantum measurement, analyzing consequences also at the philosophical level." Francesco Montalenti, Università di Milano Bicocca, in Il Nuovo Saggiatore, Vol 33, anno 2017, no. 3-4

"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 physicsfrom classical waves to special relativitythat 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 Schrödinger 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 Maxwells 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 Schrödinger 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 "The sixth edition of Alastair Raes Quantum Mechanics (co-authored by Jim Napolitano) is a valid undergraduate-level introductory text. Well suited for students in Chemistry, Materials Science, and Engineeringnow the book is divided into 5 conceptual "Parts", which helps teachers in selecting only the topics which are more suitable for the background of their students Chapter 15, indeed, provides an accessible introduction to present-day "hot" research areas (quantum cryptography, quantum computing, teleportation), even working out some simple but intriguing examples, likely to stimulate further interest in Quantum Mechanicsthe last chapter of the book deals with conceptual problems in Quantum Mechanics. Here authors present a beautiful, in-depth analysis of the concept of quantum measurement, analyzing consequences also at the philosophical level." Francesco Montalenti, Università di Milano Bicocca, in Il Nuovo Saggiatore, Vol 33, anno 2017, no. 3-4

"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 physicsfrom classical waves to special relativitythat 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 Schrödinger 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 Maxwells 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 Schrödinger 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

Part I Waves, Electromagnetism, And The Limits Of Classical Physics
Chapter 1 The Physics And Mathematics Of Waves
3(20)
1.1 A Review Of Simple Harmonic Motion
4(3)
1.2 The Stretched String Equation Of Motion
7(4)
1.3 Standing Waves, And Fourier Series
11(5)
1.4 The Fourier Transform
16(4)
1.5 Problems
20(3)
Chapter 2 Maxwell's Equations And Electromagnetic Waves
23(22)
2.1 Maxwell's Equations As Integrals
25(4)
2.2 Surface Theorems In Vector Calculus
29(3)
2.3 Maxwell's Equations As Derivatives
32(5)
2.4 Electromagnetic Waves
37(2)
2.5 Electromagnetic Radiation
39(2)
2.6 Problems
41(4)
Chapter 3 Particle Mechanics, Relativity, And Photons
45(16)
3.1 Newton, Maxwell, And Einstein
46(3)
3.2 Spacetime In Special Relativity
49(3)
3.3 Velocity, Momentum, And Energy
52(6)
3.4 Problems
58(3)
Chapter 4 The Early Development Of Quantum Mechanics
61(20)
4.1 The Photoelectric Effect
62(3)
4.2 The Compton Effect
65(2)
4.3 Line Spectra And Atomic Structure
67(2)
4.4 De Broglie Waves
69(3)
4.5 Wave-Particle Duality
72(4)
4.6 The Rest Of This Book
76(1)
4.7 Problems
77(4)
Part II Elementary Wave Mechanics
Chapter 5 The One-Dimensional Schrodinger Equations
81(28)
5.1 The Time-Dependent Schrodinger Equation
82(3)
5.2 The Time-Independent Schrodinger Equation
85(2)
5.3 Boundary Conditions
87(1)
5.4 The Infinite Square Well
87(4)
5.5 The Finite Square Well
91(4)
5.6 Quantum Mechanical Tunnelling
95(7)
5.7 The Harmonic Oscillator
102(4)
5.8 Problems
106(3)
Chapter 6 The Three-Dimensional Schrodinger Equations
109(26)
6.1 The Wave Equations
110(1)
6.2 Separation In Cartesian Coordinates
111(4)
6.3 Separation In Spherical Polar Coordinates
115(9)
6.4 The Hydrogenic Atom
124(6)
6.5 Problems
130(5)
Part III Formal Foundations
Chapter 7 The Basic Postulates Of Quantum Mechanics
135(38)
7.1 The Wave Function
137(1)
7.2 The Dynamical Variables
137(6)
7.3 Probability Distributions
143(7)
7.4 Commutation Relations
150(3)
7.5 The Uncertainty Principle
153(5)
7.6 The Time Dependence Of The Wave Function
158(2)
7.7 Degeneracy
160(3)
7.8 The Harmonic Oscillator Again
163(2)
7.9 The Measurement Of Momentum By Compton Scattering
165(4)
7.10 Problems
169(4)
Chapter 8 Angular Momentum I
173(18)
8.1 The Angular-Momentum Operators
174(2)
8.2 The Angular Momentum Eigenvalues And Eigenfunctions
176(3)
8.3 The Experimental Measurement Of Angular Momentum
179(3)
8.4 A General Solution To The Angular-Momentum Eigenvalue Problem
182(6)
8.5 Problems
188(3)
Chapter 9 Angular Momentum II
191(30)
9.1 Matrix Representations
191(4)
9.2 Pauli Spin Matrices
195(2)
9.3 Spin And The Quantum Theory Of Measurement
197(3)
9.4 Dirac Notation
200(2)
9.5 Spin-Orbit Coupling And The Zeeman Effect
202(7)
9.6 A More General Treatment Of The Coupling Of Angular Momenta
209(7)
9.7 Problems
216(5)
Part IV Extensions And Approximation Schemes
Chapter 10 Time-Independent Perturbation Theory And The Variational Principle
221(24)
10.1 Perturbation Theory For Nondegenerate Energy Levels
222(6)
10.2 Perturbation Theory For Degenerate Energy Levels
228(10)
10.3 The Variational Principle
238(5)
10.4 Problems
243(2)
Chapter 11 Time Dependence
245(28)
11.1 Time-Independent Hamiltonians
247(5)
11.2 The Sudden Approximation
252(2)
11.3 Time-Dependent Perturbation Theory
254(6)
11.4 Transitions Between Atomic Energy Levels
260(6)
11.5 The Ehrenfest Theorem
266(1)
11.6 The Ammonia Maser
267(3)
11.7 Problems
270(3)
Chapter 12 Scattering
273(26)
12.1 Scattering In One Dimension
274(5)
12.2 Scattering In Three Dimensions
279(2)
12.3 The Born Approximation
281(5)
12.4 Partial Wave Analysis
286(11)
12.5 Problems
297(2)
Chapter 13 Many-Particle Systems
299(26)
13.1 General Considerations
300(1)
13.2 Isolated Systems
301(1)
13.3 Noninteracting Particles
302(1)
13.4 Indistinguishable Particles
303(3)
13.5 Many-Particle Systems
306(8)
13.6 The Helium Atom
314(6)
13.7 Scattering Of Identical Particles
320(1)
13.8 Problems
321(4)
Part V Advanced Topics
Chapter 14 Relativity And Quantum Mechanics
325(18)
14.1 Basic Results In Special Relativity
326(1)
14.2 The Dirac Equation
326(9)
14.3 Antiparticles
335(2)
14.4 Other Wave Equations
337(1)
14.5 Quantum Field Theory And The Spin-Statistics Theorem
337(4)
14.6 Problems
341(2)
Chapter 15 Quantum Information
343(22)
15.1 Quantum Cryptography
345(3)
15.2 Entanglement
348(1)
15.3 Cloning And Teleportation
349(5)
15.4 Quantum Computing
354(10)
15.5 Problems
364(1)
Chapter 16 The Conceptual Problems Of Quantum Mechanics
365(38)
16.1 The Conceptual Problems
366(2)
16.2 Hidden-Variable Theories
368(6)
16.3 Nonlocality
374(11)
16.4 The Quantum Measurement Problem
385(15)
16.5 The Ontological Problem
400(1)
16.6 Problems
401(2)
Bibliography 403(4)
Index 407
Alastair I.M. Rae retired as a reader in quantum physics from the University of Birmingham. He first taught quantum mechanics in the 1970s, which led to the publication of the first edition of this book. He has conducted research in many areas of condensed matter physics, including superconductivity and its high temperature manifestations. Jim Napolitano is a professor of physics at Temple University. His research field is experimental nuclear and particle physics, focusing primarily on studies of fundamental interactions. He also is interested in modern instructional techniques and has published two textbooks on advanced topics in physics.