Advanced Visual Quantum Mechanics (Google eBook)

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Springer, Dec 6, 2005 - Science - 532 pages
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Advanced Visual Quantum Mechanics is a systematic effort to investigate and to teach quantum mechanics with the aid of computer-generated animations. Although it is self-contained, this book is part of a two-volume set on Visual Quantum Mechanics. The first book appeared in 2000, and earned the European Academic Software Award in 2001 for oustanding innovation in its field. While topics in book one mainly concerned quantum mechanics in one- and two-dimensions, book two sets out to present three-dimensional systems, the hydrogen atom, particles with spin, and relativistic particles. It also contains a basic course on quantum information theory, introducing topics like quantum teleportation, the EPR paradox, and quantum computers. Together the two volumes constitute a complete course in quantum mechanics that places an emphasis on ideas and concepts, with a fair to moderate amount of mathematical rigor. The reader is expected to be familiar with calculus and elementary linear algebra. Any further mathematical concepts will be illustrated in the text. This book has a home page (http://vqm.uni-graz.at) that includes more supplementary material, additional animations and visualizations, Mathematica® notebooks, and further information.'
  

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Contents

Spherical Symmetry
1
Coulomb Problem
57
Particles with Spin
113
Qubits
157
Composite Systems
211
Quantum Information Theory
271
Relativistic Systems in One Dimension
323
The Dirac Equation
377
Appendix B Perturbation of Eigenvalues
443
Analytic Perturbation Theory
455
Variational Method
461
Appendix E Adiabatic and Geometric Phases
467
Appendix F Formal Scattering Theory
475
Appendix G Books
491
List of Symbols
505
Copyright

Appendix A Synopsis of Quantum Mechanics
433

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