Wave Physics

Oscillations - Solitons - Chaos

By: Stephen Nettel

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Paperback | 11 December 2008 | Edition Number 4

At a Glance

Paperback
304 Pages

Edition Type
Revised

Dimensions(cm)
22.86 x 15.24 x 1.91

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This is a text for the third semester of undergraduate physics for students in accelerated programs, who typically are preparing for advanced degrees in science or engineering. The third semester is often the only opportunity for physics departments to present to students who are not physics majors a coherent background in the physics of waves, required later for confident handling of applied problems, especially applications based on quantum mechanics. Physics is a coherent subject. It is often found that the going gets easier as one goes deeper, learning the mathematical connections tying together the various phenomena. Even so, the steps that took us from classical wave physics to Heisenberg's "Physical Principles of Quantum Theory" were, as a matter of history, harder to take than later steps dealing with detailed applications. With these considerations in mind, the classical physics of os- cillations and waves is developed here at a more advanced mathematical level than is customary in second year courses. This is done to explain the classical phenomena, but also to provide background for the introductory wave mechanics, leading to a logical integration of the latter subject into the presentation. Concurrently, detailed applications of quantum mechanics are beyond the mission of the text. The concluding chapters on nonlinear waves, solitons, and chaos broaden the previously established concepts of wave behavior, while introducing the reader to important topics in current wave physics.

Industry Reviews

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"The book has qualities that one looks for in an undergraduate text: good organization, lucid text, well-thought-out sample problems, and problems to develop solid understanding of the subject." Applied Mechanics Reviews

"... A stimulating book for the undergraduate who is strong mathematically." Contemporary Physics

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You Can Find This Book In

Non-Fiction Science Physics Classical Mathematics Wave Mechanics including Vibration & Acoustics Mathematics Applied Mathematics Nonlinear Science Science in General Statistical Physics Reference, Information & Interdisciplinary Subjects Research & Information

Information theory Cybernetics & Systems Theory Mathematical Physics

Mathematical Foundation for Wave Physics	p. 1
Introduction to the Concepts	p. 1
Important Integrals	p. 5
Complex Numbers	p. 7
The Dirac Delta Function	p. 9
Fourier Analysis	p. 11
Hilbert Space	p. 17
Problems	p. 24
Further Reading	p. 31
Oscillations of Mechanical and Electrical Systems	p. 33
The Systems and Their Equations	p. 33
Natural Motion of Systems	p. 36
Forced Motion	p. 41
Forced Motion and the Green's Function	p. 44
Oscillators	p. 46
Summary	p. 48
Problems	p. 49
Further Reading	p. 53
Waves on Stretched Strings	p. 55
Equation of Motion of a String	p. 55
Natural Motion of a String	p. 58
The Normal Modes	p. 60
Forced Motion of a Stretched String	p. 67
Green's Functions for a Stretched String	p. 71
Problems	p. 78
Further Reading	p. 85
Electromagnetic Waves	p. 87
Maxwell's Equations in Integral Form	p. 87
Maxwell's Equations in Differential Form	p. 88
Plane Electromagnetic Waves in Free Space	p. 92
Distributed Electromagnetic Systems - Cavities	p. 98
The Vector Potential and Related Solutions of Maxwell's Equations	p. 103
Dipole Radiation	p. 107
Electromagnetism and the Green's Function	p. 110
Problems	p. 117
Appendix	p. 124
Further Reading	p. 127
Light - Physical Optics, Refraction	p. 129
The Nature and Generation of Light	p. 129
Diffraction	p. 133
X-ray Diffraction	p. 139
EM Waves in Dielectrics. Refraction	p. 141
The Magic Rule in Three Dimensions	p. 147
Problems	p. 151
Further Reading	p. 156
Wave Mechanics	p. 157
Origin of Schroedinger's Wave Equation	p. 157
Postulates of Wave Mechanics	p. 161
Motion of a Free Particle. The Heisenberg Uncertainty Principle	p. 171
Wave-Particle Duality and Loss of Determinism	p. 179
Driven Motion and the Green's Function for the Harmonic Oscillator	p. 181
Scope of Quantum Mechanics	p. 191
Problems	p. 206
Further Reading	p. 215
Nonlinear Waves on Water - Solitons	p. 217
Linear Surface Waves on Water	p. 218
Dispersion. Group Velocity	p. 221
Nonlinear Waves	p. 223
Solitons	p. 229
Inverse Scattering	p. 233
Problems	p. 241
Further Reading	p. 246
Nonlinear Phenomena - Chaos	p. 249
Nonlinear Physics - Chaos and Order	p. 250
Further Reading	p. 264
Quantum Chaos	p. 265
Hints for Solution	p. 277
Index	p. 285
Table of Contents provided by Ingram. All Rights Reserved.

Wave Physics

Oscillations - Solitons - Chaos

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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