Interactive Quantum Mechanics: Quantum Experiments on the Computer

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Springer Science & Business Media, Jan 6, 2011 - Science - 379 pages

Interquanta (IQ), an interactive program on quantum mechanics allows students to do their own quantum physics experiments on the computer, and to study in 3D color graphics such quantities as complex probability amplitude, eigencalues, scattering cross sections, and more. By experiencing many such computer experiments, students gain a unique, "hands-on" experience in quantum physics which is otherwise difficult to achieve. The graphic features include two-and three-dimensional graphics in the form of static frames and motion pictures.

Students do no programming, and hence need no previous detailed knowledge of this. The program has a very convenient, self-explanatory user interface based on the Java software technology. The book provides a recapitulation of the basic quantum mechanical formula, a manual to the IQ program, and a complete course with more than 300 tested problems. Fully automatic demonstration sessions are provided as introduction to interactive work.

Physics topics covered include free particles, bound states and scattering in various potentials in one and three space dimensions, two-particle systems, properties of special functions of mathematical physics.

 

Contents

1 Introduction
1
2 Free Particle Motion in One Dimension
5
3 Bound States in One Dimension
32
4 Scattering in One Dimension
63
Coupled Harmonic Oscillators
122
6 Free Particle Motion in Three Dimensions
138
7 Bound States in Three Dimensions
158
8 Scattering in Three Dimensions
185
9 Spin and Magnetic Resonance
213
10 Hybridization
224
11 Special Functions of Mathematical Physics
238
12 Additional Material and Hintsfor the Solution of Exercises
269
A A Systematic Guide to IQ
315
B How to Install IQ
365
Index
369
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About the author (2011)

Dr. Siegmund Brandt is Professor Emeritus of Physics and Dr. Hans Dieter Dahmen is Professor Emeritus of Theoretical Physics at the University of Siegen. Their fields of research are the experimental and theoretical physics of elementary particles, respectively. They are joint authors of several textbooks, among them The Picture Book of Quantum Mechanics (3rd edition, Springer, 2001). Dr. Tilo Stroh took his Ph.D. with a thesis on computation quantum mechanics under Hans Dahmen.

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