Advanced Visual Quantum Mechanics

Bernd Thaller

516 pages, parution le 11/02/2005

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Résumé

Advanced Visual Quantum Mechanics is a systematic effort to investigate and to teach quantum mechanics with the aid of computer-generated animations. It is a self-contained textbook that combines selected topics from atomic physics (spherical symmetry, the hydrogen atom, and particles with spin) with an introduction to quantum information theory (qubits, EPR paradox, teleportation, quantum computers). It explores relativistic quantum mechanics and the strange behavior of Dirac equation solutions. A series of appendices covers important topics from perturbation and scattering theory. The book places an emphasis on ideas and concepts, with a fair to moderate amount of mathematical rigor.

Though this book stands alone, it can also be paired with the author's book, Visual Quantum Mechanics, to form a comprehensive course in quantum mechanics. The software for the first book earned the European Academic Software Award 2000 for outstanding innovation in its field. The CD-ROM accompanying this book contains a much-improved version of this award-winning software and includes about 300 QuickTime movies and interactive simulations.

The point-and-click interface is no more difficult than using the internet and is equally useful for self-study and classroom presentations. The visualization method displays all essential information about the quantum state in an intuitive way and will greatly enhance the reader's understanding of quantum mechanics. The animations shift the emphasis from stationary states towards quantum dynamics and help students and researchers alike to get an intuitive feeling for quantum processes that is hard to obtain from mathematical formulas alone. In addition, 3D-visualization software and hundreds of Mathematica1 notebooks and packages are provided for the reader's own ventures into the field of quantum-mechanical visualizations. 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.

Sommaire

Spherical Symmetry
Coulomb Problem
Particles with Spin
Qubits
Composite Systems
Quantum Information Theory
Relativistic Systems in One Dimension
The Dirac Equation
Appendix A: Synopsis of Quantum Mechanics
Appendix B: Perturbation of Eigenvalues
Appendix C: Special Topic: Analytic Perturbation Theory
Appendix D: Variational Method
Appendix E: Adiabatic and Geometric Phases
Appendix F: Formal Scattering Theory
Appendix G: Books
Appendix H: Movie Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Bernd Thaller
Parution	11/02/2005
Nb. de pages	516
Format	18 x 24
Couverture	Relié
Poids	1090g
Intérieur	Noir et Blanc
EAN13	9780387207773
ISBN13	978-0-387-20777-3