Quantum mechanics modern development 4th Edition by Alastair Rae ISBN 0750308397 978-0750308397
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ISBN 10: 0750308397
ISBN 13: 978-0750308397
Author: Alastair I. M. Rae
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.
Table of contents:
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 Schrödinger equations
2.1 The time-dependent Schrödinger equation
2.2 The time-independent Schrödinger equation
2.3 Boundary conditions
2.4 Examples
2.5 Quantum mechanical tunnelling
2.6 The harmonic oscillator Problems
3 The three-dimensional Schrödinger 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 moment 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
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
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
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