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Quantum Mechanics Book

Quantum Mechanics
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  • Quantum Mechanics
  • Written by author Alastair I. M. Rae
  • Published by Taylor & Francis, Inc., September 2007
  • For more than 25 years, Alastair Rae's Quantum Mechanics has been one of the most highly regarded textbooks in this area. From elementary atomic physics and mathematics, to angular momentum and time dependence, to relativity and quantum computing, the tex
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Preface to Third Edition
Preface to Second Edition
Preface to First Edition
Ch. 1Introduction1
1.1The Photoelectric Effect2
1.2The Compton Effect3
1.3Line Spectra and Atomic Structure5
1.4De Broglie Waves7
1.5Wave-Particle Duality10
1.6The Rest of this Book13
Ch. 2The One-Dimensional Schrodinger Equations15
2.1The Time-Dependent Schrodinger Equation16
2.2The Time-Independent Schrodinger Equation19
2.3Boundary Conditions21
2.4Examples22
2.5Quantum Mechanical Tunnelling29
2.6The Harmonic Oscillator33
Ch. 3The Three-Dimensional Schrodinger Equations39
3.1The Wave Equations39
3.2Separation in Cartesian Coordinates41
3.3Separation in Spherical Polar Coordinates45
3.4The Hydrogenic Atom53
Ch. 4The Basic Postulates of Quantum Mechanics61
4.1The Wave Function62
4.2The Dynamical Variables63
4.3The Properties of Hermitian Operators68
4.4Probability Distributions70
4.5Commutation Relations73
4.6The Time Dependence of the Wave Function80
4.7The Measurement of Momentum by Compton Scattering82
4.8Degeneracy86
Ch. 5Angular Momentum I91
5.1The Angular-Momentum Operators92
5.2The Eigenvalues and Eigenfunctions94
5.3The Experimental Measurement of Angular Momentum97
5.4A General Solution to the Eigenvalue Problem100
Ch. 6Angular Momentum II106
6.1Matrix Representations106
6.2Pauli Spin Matrices110
6.3Spin and the Quantum Theory of Measurement112
6.4The Addition of Angular Momenta115
6.5Spin-Orbit Coupling119
6.6The Zeeman Effect123
Ch. 7Time-Independent Perturbation Theory and the Variational Principle129
7.1Perturbation Theory for Non-Degenerate Energy Levels130
7.2Perturbation Theory for Degenerate Levels136
7.3The Variational Principle145
Ch. 8Time Dependence152
8.1Time-Independent Hamiltonians153
8.2The Sudden Approximation159
8.3Time-Dependent Perturbation Theory160
8.4Selection Rules165
8.5The Ehrenfest Theorem169
8.6The Ammonia Maser171
Ch. 9Scattering176
9.1Scattering in One Dimension177
9.2Scattering in Three Dimensions182
9.3The Born Approximation184
9.4Partial Wave Analysis189
Ch. 10Many-Particle Systems201
10.1General Considerations201
10.2Isolated Systems203
10.3Non-Interacting Particles204
10.4Indistinguishable Particles205
10.5The Helium Atom208
10.6Systems with More than Two Indistinguishable Particles215
10.7Scattering of Identical Particles218
Ch. 11The Conceptual Problems of Quantum Mechanics222
11.1The Conceptual Problems223
11.2Hidden-Variable Theories224
11.3Non-Locality228
11.4Theories of Measurement238
11.5The Problem of Reality249
Bibliography251
Hints to Solution of Problems254
Index261


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