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Section
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Topic
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Page
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Chapter 28
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Solitons, the KdeV Equation (O)
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379
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28.1
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Introduction
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379
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28.2
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Problem: Solitons
|
380
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28.3
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Theory: The Korteweg-de Vries Equation
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381
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28.4
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Method, Analytic
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383
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28.5
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Method, Numeric: Finite Difference
|
384
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28.6
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Implementation: KdeV Solitons, soliton.f
(.c)
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386
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28.7
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Assessment: Visualization
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387
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28.8
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Exploration: Two Solitons Crossing
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387
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28.9
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Exploration: Phase-Space Behavior
|
388
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28.10
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Exploration: Shock Waves
|
388
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Chapter 29
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Sine-Gordon Solitons (O)
|
389
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29.1
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Problem 1: Elementary Particles From Field Equations
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389
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29.2
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Theory: Pulson Behavior of Circular Ring Solitons
|
389
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29.3
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Problem 2: Dispersionless Dispersive Chains
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390
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|
29.4
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Theory: Coupled Pendula
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390
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29.4.1
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Dispersion in Linear Chain
|
392
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29.4.2
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Continuum Limit, the Sine-Gordon Equation
|
393
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29.5
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Solution: Analytic
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394
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29.6
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Solution: Numeric
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395
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29.7
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Implementation, 2-D Solitons, twodsol.f
(.c)
|
397
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|
29.8
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Visualization
|
398
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|
Chapter 30
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Confined Electronic Wave Packets (O)
|
399
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|
30.1
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Problem: A Confined Electron
|
399
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30.2
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Model: Time-Dependent Schroedinger Equation
|
399
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30.3
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Method, Numeric: Finite Difference
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401
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|
30.4
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Implementation: Wave Packet In Well, sqwell.f
|
403
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30.5
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Assessment: Visualization, and Animation
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403
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30.6
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Exploration: 1-D Harmonic Oscillator
|
404
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30.7
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Implementation: Wave Packet In Harmonic Well, harmos.f
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404
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30.8
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Problem: Two-Dimensional Confinement
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404
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30.9
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Method: Numerical
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406
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30.10
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Exploration: 2-D Harmonic Oscillator
|
407
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30.11
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Exploration: Single-Slit Diffraction, slit.f
|
408
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|
new
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Animation: Scattering
of Two Wave Packets
|
new
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Appendix A
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Analogous Elements in Fortran and C
|
409
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Appendix B
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Programs on Floppy Diskette
|
411
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Appendix C
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Listing of C Programs
|
417
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Appendix D
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Listing of Fortran Programs
|
461
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Appendix E
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Typical Project Assignments
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501
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E.1
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First Quarter (10 weeks)
|
501
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E.2
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Second Quarter (10 weeks)
|
502
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Glossary
|
503
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References
|
509
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