Quantum Mechanics (Fourth Edition) by Alastair I. M. Rae
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Quantum Mechanics (Fourth Edition) written by
Alastair I. M. Rae , Department of Physics, University of Birmingham, UK.
Continuing the exceptional tradition of the previous editions, Quantum Mechanics, Fourth Edition provides essential information about atomic and subatomic systems and covers some modern applications of the field. Supported by a Web page that contains a bibliography, color versions of some of the illustrations, and links to other relevant sites, the book shows how cutting-edge research topics of quantum mechanics have been applied to various disciplines. It first demonstrates how to obtain a wave equation whose solutions determine the energy levels of bound systems. The theory is then made more general and applied to a number of physical examples. Later chapters describe the connection between relativity and quantum mechanics, give some examples of how quantum mechanics has been used in information processing, and, finally, discuss the conceptual and philosophical implications of the subject. New to the Fourth Edition:
A chapter on quantum information processing that includes applications to the encryption and de-encryption of coded messages. A chapter on relativistic quantum mechanics and introductory quantum field theory. Updated material on the conceptual foundations of quantum physics containing discussions of non-locality, hidden variables, and parallel universes. Expanded information on tunneling microscopy and the Bose-Einstein condensate Presenting up-to-date information on the conceptual and philosophical aspects of quantum mechanics, this revised edition is suitable both for undergraduates studying physics, chemistry, or mathematics and for researchers involved in quantum physics.
Quantum Mechanics (Fourth Edition) written by
Alastair I. M. Rae
cover the following topics.
Preface to Fourth Edition
Preface to Third Edition
Preface to Second Edition
Preface to First Edition
1. Introduction
1.1 The photoelectric effect
1.2 The Compton effect
1.3 Line spectra and atomic structure
1.4 de Broglie waves
1.5 Wave–particle duality
1.6 The rest of this book
Problems
2. The one-dimensional Schr¨odinger equations
2.1 The time-dependent Schr¨odinger equation
2.2 The time-independent Schr¨odinger equation
2.3 Boundary conditions
2.4 Examples
2.5 Quantum mechanical tunnelling
2.6 The harmonic oscillator
Problems
3. The three-dimensional Schr¨odinger equations
3.1 The wave equations
3.2 Separation in Cartesian coordinates
3.3 Separation in spherical polar coordinates
3.4 The hydrogenic atom
Problems
4. The basic postulates of quantum mechanics
4.1 The wavefunction
4.2 The dynamical variables
4.3 Probability distributions
4.4 Commutation relations
4.5 The uncertainty principle
4.6 The time dependence of the wavefunction
4.7 Degeneracy
4.8 The harmonic oscillator again
4.9 The measurement of momentum by Compton scattering
Problems
5. Angular momentum I
5.1 The angular-momentum operators
5.2 The eigenvalues and eigenfunctions
5.3 The experimental measurement of angular momentum
5.4 General solution to the eigenvalue problem
Problems
6. Angular momentum II
6.1 Matrix representations
6.2 Pauli spin matrices
6.3 Spin and the quantum theory of measurement
6.4 Dirac notation
6.5 Spin–orbit coupling and the Zeeman effect
6.5.1 The strong-field Zeeman effect
6.5.2 Spin–orbit coupling
6.5.3 The weak-field Zeeman effect
6.6 A more general treatment of the coupling of angular momenta
Problems 132
7. Time-independent perturbation theory and the variational principle
7.1 Perturbation theory for non-degenerate energy levels
7.2 Perturbation theory for degenerate levels
7.2.1 Nearly degenerate systems
7.3 The variational principle
Problems
8. Time dependence
8.1 Time-independent Hamiltonians
8.2 The sudden approximation
8.3 Time-dependent perturbation theory
8.4 Selection rules
8.5 The Ehrenfest theorem
8.6 The ammonia maser
Problems
9. Scattering
9.1 Scattering in one dimension
9.2 Scattering in three dimensions
9.3 The Born approximation
9.4 Partial wave analysis
Problems
10. Many-particle systems
10.1 General considerations
10.2 Isolated systems
10.3 Non-interacting particles
10.4 Indistinguishable particles
10.5 Many-particle systems
10.6 The helium atom
10.7 Scattering of identical particles
Problems
11. Relativity and quantum mechanics
11.1 Basic results in special relativity
11.2 The Dirac equation
11.3 Antiparticles
11.4 Other wave equations
11.5 Quantum field theory and the spin-statistics theorem
Problems
12. Quantum information
12.1 Quantum cryptography
12.2 Entanglement
12.3 Teleportation
12.4 Quantum computing
Problems
13. The conceptual problems of quantum mechanics
13.1 The conceptual problems
13.2 Hidden-variable theories
13.3 Non-locality
13.4 The quantum-mechanical measurement problem
13.5 The ontological problem
Problems
Hints to solution of problems
Index
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