Quantum Mechanics on the Macintosh®

Motion
7.6 Exercises
8 Scattering in Three Dimensions
8.1 Physical Concepts
8.2 Radial Wave Functions
8.3 Stationary Wave Functions and Scattered Waves
8.4 Differential Cross Sections
8.5 Scattering Amplitude. Phase Shift. Partial and Total Cross Sections
8.6 Exercises
9 Special Functions of Mathematical Physics
9.1 Basic Formulae
9.2 Hermite Polynomials
9.3 Eigenfunctions of the One-Dimensional Harmonic Oscillator
9.4 Legendre Polynomials and Associated Legendre Functions
9.5 Spherical Harmonics
9.6 Bessel Functions
9.7 Spherical Bessel Functions
9.8 Laguerre Polynomials
9.9 Radial Eigenfunctions of the Harmonic Oscillator
9.10 Radial Eigenfunctions of the Hydrogen Atom
9.11 Simple Functions of a Complex Variable
9.12 Exercises
10. Additional Material and Hints for the Solution of Exercises
10.1 Units and Orders of Magnitude
10.2 Argand Diagrams and Unitarity for One-Dimensional Problems
10.3 Hints and Answers to the Exercises
Appendix A. A Systematic Guide to IQ
A.1 Dialog Between the User and IQ
A.1.1 A Simple Example
A.1.2 The General Form of Commands
A.1.3 The Descriptor File
A.1.4 The Descriptor (Record)
A.1.5 The PLOT Command
A.1.6 The STOP Command
A.1.7 HELP: The Commands HE and PH
A.2 Coordinate Systems and Transformations
A.2.1 The Different Coordinate Systems
A.2.2 Defining the Transformations
A.3 The Different Types of Plot
A.3.1 Choosing a Plot Type: The Command CH
A.3.2 Cartesian 3D Plots (Type 0 Plots)
A.3.3 Polar 3D Plots (Type 1 Plots)
A.3.4 2D Plots (Type 2 Plots)
A.3.5 3D Column Plots (Type 3 Plots)
A.3.6 Special 3D Plots (Type 10 Plots)
A.4 The Background in the Plots
A.4.1 Boxes and Coordinate Axes: The Command BO
A.4.2 Scales
A.4.3 Arrows
A.4.4 Text and Numbers
A.4.5 Mathematical Symbols and Formulae
A.5 Further Commands
A.5.1 Line Styles
A.5.2 Multiple Plots
A.5.3 Combined Plots
A.5.4 Using Different Plotting Devices
A.5.5 The Different Running Modes
A.5.6 Introducing Physical Variables: The Commands VO toV9
A.5.7 Reserved Commands
Appendix B. How to Install IQ
B.1 Hardware and Operating-System Requirements
B.2 Diskette Format
B.3 Installation on a Macintosh with Hard Disk
B.4 Installation on a Macintosh without Hard Disk
B.5 Limited Memory
B.6 Removing Output Files
Appendix C. Lists of All Provided Files
C.1 Program File
C.2 Data File Specifying Graphics Devices
C.3 File Containing Fonts Used in Graphics
C.4 Descriptor Files for Examples and Exercises
C.5 Command Input Files and Associated Descriptor Files for Demonstrations
C.6 Help Files
Appendix D. Graphics Devices and Metafiles
Index of IQ Commands