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Advanced Visual Quantum Mechanics

  • Textbook
  • © 2005

Overview

  • 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 Thaller 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.

  • Includes supplementary material: sn.pub/extras

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Table of contents (8 chapters)

Keywords

About this book

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."

Reviews

From the reviews:

"Each chapter provides an overview and highlights recent advances in its particular area. … there are several valuable tidbits for potential new uses of existing techniques such as atomic force microscopy. This book will serve as a valuable reference for anyone working with microfluidics or biochip devices … ." (Jamie Quinton, Australian Physics, Vol. 42 (4), September/October, 2005)

"Advanced visual quantum mechanics is a systematic effort to investigate and to teach quantum mechanics with the aid of computer generated animations. …Furthermore, in each chapter, within the text the reader can find about 20-30 exercises – without solutions, but most of them rather straightforward to solve. … Advanced visual quantum mechanics can be recommended as an excellent textbook … ." (H. Hogreve, Mathematical Reviews, Issue 2006 g)

"I insist that this book is much more than a gallery of animated illustrations: the author tried and succeeded in presenting quantum theory in a completely original way. … this book would be one of the best introductions ever written about quantum mechanics. No need to conclude that this book is a must even for the undergraduate student. Teachers will appreciate to renew the presentation of their courses." (André Hautot, Physicalia, Vol. 28 (4-6), 2006)

Authors and Affiliations

  • Institute for Mathematics and Scientific Computing, University of Graz, Graz, Austria

    Bernd Thaller

Bibliographic Information

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