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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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