Wave physics: oscillations, solitons, chaos
"The classical physics of oscillations and waves is developed here at a more advanced mathematical level than has been customary for second year undergraduates. The detailed explanation of the classical phenomena provides a sound basis for the introduction to wave mechanics that follows. A chap...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1995
|
| Ausgabe: | 2., corr. and enl. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | "The classical physics of oscillations and waves is developed here at a more advanced mathematical level than has been customary for second year undergraduates. The detailed explanation of the classical phenomena provides a sound basis for the introduction to wave mechanics that follows. A chapter on nonlinear waves and solitons, as well as contributions by M. C. Gutzwiller (USA), and A. V. Gaponov Grekhov and M. I. Rabinovich (Russia) on chaos and associated phenomena, broadens the concepts of wave behavior, while introducing the reader to important topics in current wave physics. This textbook is directed primarily at undergraduate students in physics, mathematics and engineering, but it will also be useful as a reference for graduate students, and for professors looking for examination problems. For this new edition a number of examples and problems have been added, and typographic errors corrected."--BOOK JACKET. |
| Beschreibung: | XII, 252 S. Ill., graph. Darst. |
| ISBN: | 3540585044 0387585044 |
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Datensatz im Suchindex
| _version_ | 1804124289870331904 |
|---|---|
| adam_text | STEPHEN NETTEL
WAVE PHYSICS
OSCILLATIONS - SOLITONS - CHAOS
SECON
D CORRECTE
D AN
D ENLARGE
D EDITIO
N
WITH 67 FIGURES AND MORE THAN 100 PROBLEMS
WITH HINTS FOR SOLUTION AND NUMEROUS EXAMPLES
JP
G SPRINGE
R
CONTENTS
1. MATHEMATICAL FOUNDATION FOR WAVE PHYSICS 1
1.1 INTRODUCTION TO THE CONCEPTS 1
1.2 IMPORTANT INTEGRALS 5
1.3 COMPLEX NUMBERS 7
1.4 THE DIRAC DELTA FUNCTION 9
1.5 FOURIER ANALYSIS 11
PROBLEMS 23
FURTHER READING 30
2. OSCILLATIONS OF MECHANICAL AND ELECTRICAL SYSTEMS 31
2.1 THE SYSTEMS AND THEIR EQUATIONS 31
2.2 NATURAL MOTION OF SYSTEMS 34
2.3 FORCED MOTION 38
2.4 OSCILLATORS 42
2.5 SUMMARY 44
PROBLEMS 46
FURTHER READING 50
3. WAVES ON STRETCHED STRINGS 51
3.1 EQUATION OF MOTION OF A STRING 51
3.2 NATURAL MOTION OF A STRING 54
3.3 THE NORMAL MODES 56
3.4 FORCED MOTION OF A STRETCHED STRING 63
PROBLEMS 67
FURTHER READING 72
4. ELECTROMAGNETIC WAVES 73
4.1 MAXWELL S EQUATIONS IN INTEGRAL FORM 73
4.2 MAXWELL S EQUATIONS IN DIFFERENTIAL FORM 74
4.3 PLANE ELECTROMAGNETIC WAVES IN FREE SPACE 78
4.4 DISTRIBUTED ELECTROMAGNETIC SYSTEMS - CAVITIES 84
4.5 THE VECTOR POTENTIAL AND RELATED SOLUTIONS
OF MAXWELL S EQUATIONS 89
4.6 DIPOLE RADIATION 94
XII CONTENTS
PROBLEMS 101
4.A APPENDIX 108
FURTHER READING 112
5
. LIGHT - PHYSICAL OPTICS, REFRACTION 113
5.1 THE NATURE AND GENERATION OF LIGHT 113
5.2 DIFFRACTION 117
5.3 X-RAY DIFFRACTION 123
5.4 EM WAVES IN DIELECTRICS. REFRACTION 125
PROBLEMS 131
5.A APPENDIX 136
FURTHER READING 140
6. WAVE MECHANICS 141
6.1 ORIGIN OF SCHROEDINGER S WAVE EQUATION 141
6.2 POSTULATES OF WAVE MECHANICS 145
6.3 MOTION OF A FREE PARTICLE.
THE HEISENBERG UNCERTAINTY PRINCIPLE 155
6.4 WAVE-PARTICLE DUALITY AND LOSS OF DETERMINISM 163
6.5 SCOPE OF QUANTUM MECHANICS 165
PROBLEMS 174
FURTHER READING 182
7. NONLINEAR WAVE
S ON WATER - SOLITONS 183
7.1 LINEAR SURFACE WAVES ON WATER 184
7.2 DISPERSION. GROUP VELOCITY 187
7.3 NONLINEAR WAVES 189
7.4 SOLITONS 195
7.5 INVERSE SCATTERING 199
PROBLEMS 207
FURTHER READING 213
8. NONLINEAR PHENOMENA - CHAOS 215
8.1 NONLINEAR PHYSICS - CHAOS AND ORDER
BY ANDREI V. GAPONOV-GREKHOV AND MIKHAIL I. RABINOVICH ..
. 216
FURTHER READING 229
8.2 QUANTUM CHAOS
BY MARTIN YY GUTZWILLER 230
FURTHER READING 240
HINTS FOR SOLUTION 241
SUBJECT INDEX 251
|
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| indexdate | 2024-07-09T17:43:18Z |
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| language | English |
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| spelling | Nettel, Stephen Verfasser aut Wave physics oscillations, solitons, chaos Stephen Nettel 2., corr. and enl. ed. Berlin [u.a.] Springer 1995 XII, 252 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier "The classical physics of oscillations and waves is developed here at a more advanced mathematical level than has been customary for second year undergraduates. The detailed explanation of the classical phenomena provides a sound basis for the introduction to wave mechanics that follows. A chapter on nonlinear waves and solitons, as well as contributions by M. C. Gutzwiller (USA), and A. V. Gaponov Grekhov and M. I. Rabinovich (Russia) on chaos and associated phenomena, broadens the concepts of wave behavior, while introducing the reader to important topics in current wave physics. This textbook is directed primarily at undergraduate students in physics, mathematics and engineering, but it will also be useful as a reference for graduate students, and for professors looking for examination problems. For this new edition a number of examples and problems have been added, and typographic errors corrected."--BOOK JACKET. Chaos (théorie des systèmes) ram Mécanique ondulatoire ram Ondes ram Oscillations ram Solitons ram chaos inriac onde électromagnétique inriac oscillation inriac propagation onde inriac soliton inriac Wave mechanics Waves Wellenlehre (DE-588)4322769-7 gnd rswk-swf Welle (DE-588)4065310-9 gnd rswk-swf Nichtlineare Welle (DE-588)4042102-8 gnd rswk-swf Wellenmechanik (DE-588)4127857-4 gnd rswk-swf Wellenlehre (DE-588)4322769-7 s DE-604 Welle (DE-588)4065310-9 s Wellenmechanik (DE-588)4127857-4 s Nichtlineare Welle (DE-588)4042102-8 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006574309&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nettel, Stephen Wave physics oscillations, solitons, chaos Chaos (théorie des systèmes) ram Mécanique ondulatoire ram Ondes ram Oscillations ram Solitons ram chaos inriac onde électromagnétique inriac oscillation inriac propagation onde inriac soliton inriac Wave mechanics Waves Wellenlehre (DE-588)4322769-7 gnd Welle (DE-588)4065310-9 gnd Nichtlineare Welle (DE-588)4042102-8 gnd Wellenmechanik (DE-588)4127857-4 gnd |
| subject_GND | (DE-588)4322769-7 (DE-588)4065310-9 (DE-588)4042102-8 (DE-588)4127857-4 |
| title | Wave physics oscillations, solitons, chaos |
| title_auth | Wave physics oscillations, solitons, chaos |
| title_exact_search | Wave physics oscillations, solitons, chaos |
| title_full | Wave physics oscillations, solitons, chaos Stephen Nettel |
| title_fullStr | Wave physics oscillations, solitons, chaos Stephen Nettel |
| title_full_unstemmed | Wave physics oscillations, solitons, chaos Stephen Nettel |
| title_short | Wave physics |
| title_sort | wave physics oscillations solitons chaos |
| title_sub | oscillations, solitons, chaos |
| topic | Chaos (théorie des systèmes) ram Mécanique ondulatoire ram Ondes ram Oscillations ram Solitons ram chaos inriac onde électromagnétique inriac oscillation inriac propagation onde inriac soliton inriac Wave mechanics Waves Wellenlehre (DE-588)4322769-7 gnd Welle (DE-588)4065310-9 gnd Nichtlineare Welle (DE-588)4042102-8 gnd Wellenmechanik (DE-588)4127857-4 gnd |
| topic_facet | Chaos (théorie des systèmes) Mécanique ondulatoire Ondes Oscillations Solitons chaos onde électromagnétique oscillation propagation onde soliton Wave mechanics Waves Wellenlehre Welle Nichtlineare Welle Wellenmechanik |
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