Quantum Methods with Mathematica

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The teaching and learning of nonrelativistic quantum mechanics have in recent years been profoundly affected by two developments. First, advances in experimental technique, especially in quantum optics and electronics and in neutron interferometry, have turned many quantum phenomena and "thought experiments," which previously had only been the subject of hypothetical inferences, into laboratory reality. The other line of progress has been, after much premature advertising, the advent of computational physics as a tool of the trade that now belongs, and fits, into every student's bag. Quantum Methods with Mathematica® places itself comfortably four-square in our contemporary culture by using the full technology of Mathematica as its pedagogic environment. I confess that I approached the manuscript of this text with apprehension, fearing that, with no previous exposure to Mathematica and well past the nimble age, I might quickly come to grief and frustration. As I write this, I have survived the course, and I have learned the wonders (and some of the foibles) of Mathematica, as well as some new things about quantum mechanics. And, under Jim Feagin's deft guidance, the experience has been fun!

Author(s): James M Feagin
Publisher: Telos - Springer Verlag
Year: 1994

Language: English
Pages: XX; 482
City: New York

Title Page
Foreword
Preface
Using This Book Interactively
Table of Contents
Part I Systems in One Dimension
1. Basic Wave Mechanics
2. Particle in a Box
3. Uncertainty Principle
4. Free-Particle Wavepacket
5. Parity
6. Harmonic Oscillator
7. Variational Method and Perturbation Ideas
8. Squeezed States
9. Basic Matrix Mechanics
10. Partial Exact Diagonalization
11. Momentum Representation
12. Lattice Representation
13. Morse Oscillator
14. Potential Scattering
Part II Quantum Dynamics
15. Quantum Operators
16. Angular Momentum
17. Angular Momentum Coupling
18. Coordinate and Momentum Representations
19. Angular Momentum in Spherical Coordinates
20. Hydrogen Atom Schrödinger Equation
21. Wavefunctions from the Runge-Lenz Algebra
Appendix I. Mathematica Quick View
Appendix II. Notebooks and Basic Tools
Appendix III. Home Improvement
Appendix IV. Quantum Packages
Appendix V. Grad, Div, Curl
Bibliography
Index