More physics with MATLAB:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore ; Hackensack NJ [u.a.}
World Scientific
2015
|
| Subjects: | |
| Online Access: | Klappentext Inhaltsverzeichnis |
| Physical Description: | XIV, 313 S. Ill., graph. Darst. |
| ISBN: | 9789814623933 9789814623940 |
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Record in the Search Index
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| adam_text | ·■ ........... w ֊ 7
MORE PHYSICS
WITH MATLAB
~՛ SÆr
This text continues the exploration of the use of
MATLAB tools and features in visualizing physical
processes. The symbolic math packages are important
in solving those problems which are amenable to
closed form solution, while the numerical packages
are used for the remaining problems. The results for
the solutions use the MATLAB graphics packages to
help visualize the properties of the solutions. User
dialogues are designed to allow users to change the
input parameters in order to see how the dynamics
of the solutions depends on the parameters of the
specific problem. In particular movies are used to
display the dynamical evolution of solutions in time.
Contents
Preface vii
1. Mathematics 1
1.1 Chaos............................................ 1
1.2 Malthus.......................................... 3
1.3 Missile Tracking ................................ 4
1.4 Monte Carlo Analytic............................ 5
1.5 Monte Carlo Numeric ............................ 9
1.6 Monte Carlo Muon Beam.......................... 11
1.7 Fourier and Laplace Transforms.................. 14
2. Classical Mechanics 18
2.1 Angular Momentum................................ 18
2.2 Classical Scattering............................ 19
2.3 Impact Parameter and DC A....................... 20
2.4 Foucault Pendulum............................... 23
2.5 Spring Pendulum................................. 26
2.6 Spherical Pendulum ........................... 28
2.7 Driven Pendulum................................. 30
2.8 Random Walk..................................... 32
2.9 Rotating Hoop................................... 33
2.10 Tides........................................... 36
2.11 Action.......................................... 38
2.12 Rocket Drag..................................... 40
2.13 Two Stage Rocket ............................... 43
2.14 Table Top....................................... 46
2.15 Kepler Eccentric................................ 48
XI
xii More Physics with MATLAB
2.16 Non-Central Force . .............................. 48
2.17 Euler Angles ...................................... 51
2.18 Forceless Top.................................... 53
2.19 Top Motion.............................. ..... 53
3. Electromagnetism 59
3.1 Electron e/m...................................... 59
3.2 Potential and Fields................................61
3.3 Electrostatics — Plates ......................... 61
3.4 Electrostatics — Angled Plates.................... 63
3.5 Electrostatic Helmholtz .......................... - 65
3.6 Electric Quadrupoles............................. 66
3.7 Cylinder Boundaries.................................68
3.8 Laplace Fourier................................... 71
3.9 Rotating Charged Sphere............................ 73
3.10 Dielectric Image Charge.......................... 75
3.11 Dielectrics........................................ 78
3.12 Dielectric Sphere.................................. 80
3.13 Induction.......................................... 82
3.14 Magnetic Bottle.................................... 84
3.15 A Fusion Reactor................................... 86
3.16 Dipole Radiation................................... 90
3.17 Two Antennas ...................................... 92
3.18 Dispersion......................................... 95
3.19 Waveguide.......................................... 96
3.20 Skin Depth......................................... 99
4. Gases and Fluids 102
4.1 Leaky Box..........................................102
4.2 Rectangular Flow...................................103
4.3 Debye Temperature..................................105
4.4 Times Arrow........................................108
4.5 Compressibility....................................109
4.6 Viscosity..........................................112
4.7 Water Waves........................................114
4.8 Semiconductor......................................116
Contents xiii
4.9 Semiconductor Junction..............................120
4.10 n-p Diode...........................................124
4.11 Freezing Pipes .....................................128
4.12 Cooling Earth — Interior...........................130
4.13 Cooling Earth — Exterior...........................132
4.14 Heat and pde........................................133
4.15 Heat Diffusion......................................135
4.16 Heat — Initial .....................................137
Waves 139
5.1 Longitudinal Slinky.................................139
5.2 Transverse Slinky...................................142
5.3 SR — Doppler .......................................143
5.4 Step Response.......................................145
5.5 Pulsating Sphere....................................146
5.6 Rectangular Drum....................................148
5.7 Piano ..............................................150
5.8 Aperture Diffraction Off Axis.......................150
5.9 Antenna.............................................154
5.10 Antenna Array.......................................156
5.11 Lissa jous..........................................156
5.12 Plane Waves — 2d....................................159
5.13 Damped, Driven Oscillator ..........................160
Quantum Mechanics 163
6.1 Box ................................................163
6.2 Simple Harmonic Oscillator..........................163
6.3 Bound States — 3d Well..............................167
6.4 Identical Particles.................................170
6.5 Stark Effect........................................171
6.6 Square Well Scattering — 3d.........................173
6.7 Photoelectric Effect — Continuum....................175
6.8 Line Width..........................................179
6.9 Barriers............................................181
6.10 General Eigenvalues.................................185
6.11 Koenig-Penny........................................188
xiv More Physics with MATLAB
6.12 Decay Chain .................................... 191
6.13 Casimir Effect....................................192
7, Astrophysics 196
7.1 Transfer Orbit ................................. 196
7.2 Flyby .......................................... 199
7.3 Lagrange Points...................................202
7.4 Binary Orbits................................... 205
7.5 Three Body Orbits.................................207
7.6 Polytropic Star...................................209
7.7 Pulsating Stars................................. 212
7.8 White Dwarf.......................................215
7.9 Boltzmann and the Sun.............................218
8. General Relativity 222
8.1 Light Deflection..................................222
8.2 Circular Geodesic.................................223
8.3 General Geodesic..................................226
8.4 Kerr Photons..................................... 230
8.5 Kerr General......................................233
8.6 Gravity Wave Radiation............................236
8.7 Stellar Pressure..................................238
8.8 Light Propagation in the Universe ................244
Appendix: Scripts for the Chapter on Classical
Mechanics 248
Graphical User Interface (GUI) 303
References 307
Index
309
|
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| illustrated | Illustrated |
| indexdate | 2024-07-10T07:06:09Z |
| institution | BVB |
| isbn | 9789814623933 9789814623940 |
| language | English |
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| owner_facet | DE-1050 DE-19 DE-BY-UBM DE-703 DE-29T DE-91G DE-BY-TUM |
| physical | XIV, 313 S. Ill., graph. Darst. |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Green, Dan 1943- Verfasser (DE-588)144005549 aut More physics with MATLAB Dan Green Singapore ; Hackensack NJ [u.a.} World Scientific 2015 XIV, 313 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Physik (DE-588)4045956-1 gnd rswk-swf MATLAB (DE-588)4329066-8 gnd rswk-swf MATLAB (DE-588)4329066-8 s Physik (DE-588)4045956-1 s DE-604 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028056746&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Klappentext Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028056746&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
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| subject_GND | (DE-588)4045956-1 (DE-588)4329066-8 |
| title | More physics with MATLAB |
| title_auth | More physics with MATLAB |
| title_exact_search | More physics with MATLAB |
| title_full | More physics with MATLAB Dan Green |
| title_fullStr | More physics with MATLAB Dan Green |
| title_full_unstemmed | More physics with MATLAB Dan Green |
| title_short | More physics with MATLAB |
| title_sort | more physics with matlab |
| topic | Physik (DE-588)4045956-1 gnd MATLAB (DE-588)4329066-8 gnd |
| topic_facet | Physik MATLAB |
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