The physical world: an inspirational tour of fundamental physics
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Oxford University Press
2017
|
| Ausgabe: | First edition |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | xiii, 556 Seiten Illustrationen, Diagramme (teilweise farbig) |
| ISBN: | 9780198796114 9780198795933 |
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| 245 | 1 | 0 | |a The physical world |b an inspirational tour of fundamental physics |c Nicholas Manton (Professor at the Department of Applied Mathematics and Theoretical Physics, University of Cambridge), Nicholas Mee (Trinity College, Cambridge) |
| 250 | |a First edition | ||
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Datensatz im Suchindex
| _version_ | 1804177353897672704 |
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| adam_text | Titel: The physical world
Autor: Manton, Nicholas
Jahr: 2017
Contents
0 Introduction 1
1 Fundamental Ideas 4
1.1 Variational Principles 4
1.1.1 Geometrical optics—reflection and refraction 6
1.1.2 The scope of variational principles 9
1.2 Euclidean Space and Time 10
1.3 Partial Derivatives 14
1.4 e, 7r and Gaussian Integrals 18
1.4.1 Radioactive decay 19
1.4.2 Waves and periodic functions 21
1.4.3 The Gaussian integral 21
1.4.4 The method of steepest descents 24
2 Motions of Bodies—Newton s Laws 26
2.1 Introduction 26
2.2 Newton s Laws of Motion 27
2.3 The Principle of Least Action 29
2.3.1 Motion in one dimension 31
2.3.2 A simple example and a simple method 32
2.3.3 Motion in a general potential and Newton s second law 35
2.3.4 The calculus of variations 36
2.3.5 The unimportance of the endpoints 38
2.4 The Motion of Several Bodies and Newton s Third Law 39
2.5 Motion of One Body in Three Dimensions 42
2.5.1 The harmonic oscillator 43
2.6 Central Forces 44
2.6.1 Circular orbits 46
2.7 The Attractive Inverse Square Law Force 48
2.8 G and the Mass of the Earth 52
2.9 Composite Bodies and Centre of Mass Motion 53
2.10 The Kepler 2-Body Problem 56
2.10.1 Binary stars 57
2.11 Lagrangian Points 58
2.12 Conservation of Energy 63
2.13 Friction and Dissipation 65
vii
viii Contents
3 Fields—Maxwell s Equations 67
3.1 Fields 67
3.2 The Scalar Field Equation 69
3.3 Waves 72
3.4 Divergence and Curl 74
3.5 Electromagnetic Fields and Maxwell s Equations 75
3.5.1 What Maxwell s equations teil us 78
3.6 Eleetrostatic Fields 81
3.6.1 Charge and dipole moment 84
3.7 Electromagnetic Waves 86
3.8 Magnetostatics 90
3.9 Principle of Least Action for Electromagnetic Fields 92
3.10 The Lorentz Force 93
3.10.1 The Lorentz force from the principle of least action 97
3.11 Field Energy and Momentum 98
3.12 Dynamics of Particles and Fields 100
4 Special Relativity 103
4.1 Introduction 103
4.2 Lorentz Transformations 105
4.3 Relativistic Dynamics 110
4.3.1 Comparison of Newtonian and relativistic dynamics 114
4.3.2 E = mc2 116
4.4 More on 4-Vectors 117
4.5 The Relativistic Character of Maxwell s Equations 118
4.6 Relativistic Principles of Least Action 122
5 Curved Space 126
5.1 Spherical Geometry 126
5.1.1 Geodesics 127
5.2 Non-Euclidean, Hyperbolic Geometry 128
5.3 Gaussian Curvature 129
5.4 Riemannian Geometry 132
5.4.1 Simple examples of metrics 134
5.5 Tensors 137
5.5.1 Covariant derivatives and Christoffel symbols 140
5.5.2 Christoffel symbols in plane polar coordinates 143
5.6 The Riemann Curvature Tensor 143
5.6.1 Riemann curvature in plane polar coordinates 145
5.6.2 Riemann curvature on a sphere 145
5.6.3 The 3-sphere 146
5.7 The Geodesic Equation 146
5.7.1 Geodesics in plane polar coordinates 149
5.7.2 The equation of geodesic deviation 149
5.8 Applications 152
Contents ix
6 General Relativity 158
6.1 The Equivalence Principle 158
6.2 The Newtonian Gravitational Field and Tidal Forces 159
6.3 Minkowski Space 162
6.4 Curved Spacetime Geometry 164
6.4.1 Weak gravitational fields 166
6.5 The Gravitational Field Equation 167
6.5.1 The energy-momentum tensor 168
6.5.2 The Einstein tensor and the Einstein equation 170
6.5.3 Determining the constant of proportionality 172
6.6 The Classic Tests of General Relativity 173
6.6.1 The perihelion advance of Mercury 173
6.6.2 The deflection of starlight 174
6.6.3 Clocks and gravitational redshift 174
6.7 The Schwarzschild Solution of the Einstein Equation 177
6.7.1 The Newtonian limit 179
6.8 Particle Motion in Schwarzschild Spacetime 180
6.9 Light Deflection in Schwarzschild Spacetime 183
6.10 The Interior Schwarzschild Solution 185
6.11 Black Holes 187
6.11.1 Eddington-Finkelstein coordinates 189
6.11.2 The Kerr metric 191
6.12 Gravitational Waves 195
6.12.1 The detection of gravitational waves 196
6.13 The Einstein-Hilbert Action 199
7 Quantum Mechanics 203
7.1 Introduction 203
7.2 Position and Momentum in Quantum Mechanics 205
7.3 The Schrödinger Equation 207
7.3.1 The free particle 210
7.3.2 The harmonic oscillator 212
7.4 Interpretation of Wavefunctions—Observables 214
7.4.1 Position probabilities 215
7.4.2 Other physical quantities—hermitian Operators 216
7.4.3 Measurements of observables 218
7.5 Expectation Values 220
7.6 After a Measurement 222
7.7 Uncertainty Relations 222
7.8 Scattering and Tunnelling 225
7.9 Variational Principles in Quantum Mechanics 227
8 Quantum Mechanics in Three Dimension» 231
8.1 Introduction 231
8.2 Position and Momentum Operators 232
8.2.1 Particle in a box 234
8.3 Angular Momentum Operators 235
x Contents
8.3.1 Eigenfunctions of l2 using Cartesian coordinates 237
8.4 The Schrödinger Equation with a Spherical Potential 240
8.4.1 The Coulomb potential 241
8.4.2 Spectroscopy 242
8.5 Spin 244
8.5.1 The Stern-Gerlach experiment 245
8.5.2 The Zeeman effect 246
8.5.3 Other spin representations 247
8.6 Spin | as a Quantum Paradigm 248
8.7 Quantum Mechanics of Several Identical Particles 249
8.7.1 The Fermi sphere 254
8.8 Bosons, Fermions and Spin 255
8.9 Return to the Action 256
9 Atoms, Molecules and Solids 261
9.1 Atoms 261
9.1.1 Atomic orbitals 263
9.1.2 Atomic shell model 264
9.2 Molecules 267
9.2.1 Covalent bonding 267
9.2.2 Polar bonds 274
9.2.3 Simple molecules 276
9.3 Organic Chemistry 277
9.3.1 Hückel theory—benzene 277
9.3.2 Polyenes 280
9.4 Solids 283
9.4.1 Covalent solids 284
9.5 Band Theory 286
9.5.1 Atomic lattices 286
9.5.2 Bloch s theorem 289
9.5.3 Bloch states in a finite crystal 290
9.5.4 The tight-binding model 291
9.5.5 The nearly free electron model 293
9.5.6 Ionic solids 294
9.5.7 Example of caesium chloride 294
9.5.8 Metals 297
9.5.9 Example of copper 298
9.6 Ferromagnetism 300
10 Thermodynamics 303
10.1 Introduction 303
10.1.1 What is heat? 304
10.1.2 The ideal gas law 304
10.1.3 The microscopic origin of heat 306
10.1.4 Iced tea 306
10.2 Entropy and Temperature 307
10.3 The First Law of Thermodynamics 311
Contents xi
10.3.1 New variables 313
10.4 Subsystems—The Gibbs Distribution 315
10.5 The Maxwell Velocity Distribution 318
10.6 Ideal Gases—Equation of State and Entropy 320
10.7 Non-Ideal Gases 322
10.8 The Chemical Potential 323
10.9 Fermion and Boson Gases at Low Temperature 324
10.9.1 The Fermi-Dirac function 325
10.9.2 Pressure of a degenerate electron gas 326
10.9.3 The heat capacity of an electron gas 327
10.9.4 The Bose-Einstein function 329
10.10 Black Body Radiation 334
10.11 Lasers 337
10.12 Magnetization in Spin Systems 341
10.13 A Little about Phase Transitions 343
10.14 Hawking Radiation 347
11 Nuclear Physics 351
11.1 The Birth of Nuclear Physics 351
11.2 The Strong Force 352
11.2.1 The nuclear potential 354
11.2.2 Nucleon pairing 357
11.2.3 The liquid drop model 358
11.3 The Nuclear Shell Model 362
11.3.1 The atomic shell analogy 362
11.3.2 The harmonic oscillator 363
11.3.3 Spin-orbit coupling 365
11.3.4 Beta decay 369
11.3.5 The Nilsson model 370
11.4 Alpha Decay 372
11.5 Fission 377
11.6 Fusion 380
11.6.1 Thermonuclear fusion 381
11.6.2 Controlled nuclear fusion 385
11.7 The Island of Stability 385
11.8 Exotic Nuclei 387
11.9 Pions, Yukawa Theory and QCD 389
12 Particle Physics 393
12.1 The Standard Model 393
12.1.1 Fundamental particles 394
12.2 Quantum Field Theory 395
12.2.1 Quantizing the electromagnetic field 397
12.2.2 The quantized scalar Klein-Gordon field 398
12.3 The Dirac Field 400
12.3.1 The Dirac equation 400
12.3.2 Quantizing the Dirac field—particles and antiparticles 403
xii Contents
12.4 Actions and Interactions 406
12.4.1 Quantum electrodynamics 406
12.4.2 Feynman diagrams 408
12.5 The Strong Force 410
12.5.1 Quarks 413
12.5.2 Confinement 415
12.6 QCD 417
12.6.1 Gluons 417
12.6.2 Lattice QCD 421
12.6.3 Heavy quarks and exotic hadrons 422
12.7 The Weak Force 422
12.7.1 Parity violation 424
12.8 The Theory of the Electroweak Force 426
12.8.1 The Higgs mechanism 427
12.8.2 Fermion masses 429
12.8.3 Discovering the W and Z bosons and the Higgs boson 432
12.8.4 Quark mixing 434
12.8.5 How many generations? 435
12.9 Neutrino Oscillations 437
13 Stars 443
13.1 The Sun 443
13.2 The Herzsprung-Russell Diagram 444
13.3 The Birth of Stars 447
13.3.1 Stellar composition 447
13.3.2 The virial theorem 448
13.3.3 Star formation 451
13.4 Stellar Structure 453
13.4.1 The structure functions 455
13.4.2 The mass-luminosity relationship 457
13.4.3 The density-temperature relationship 458
13.5 Nucleosynthesis 458
13.5.1 The proton-proton chain 459
13.5.2 The CNO cycle 461
13.5.3 The mass-radius relationship 463
13.5.4 The mass-temperature relationship 463
13.5.5 Minimum mass of main sequence stars 463
13.5.6 The temperature-luminosity relationship 464
13.6 Giant Stars Beyond the Main Sequence 465
13.6.1 The triple alpha process 466
13.7 Late Evolution 467
13.7.1 White dwarfs 467
13.7.2 Gravitational collapse of massive stars 470
13.8 Neutron Stars 474
13.8.1 Pulsars 476
13.9 Supernovae 477
Contents xiii
13.9.1 Gamma-ray bursts 482
13.10 The Density-Temperature Diagram 483
14 Cosmology 487
14.1 Einstein s Universe 487
14.2 The Distance-Redshift Relationship 487
14.3 Friedmann-Robertson-Walker Cosmology 489
14.3.1 Einstein s equation and the FRW metric 490
14.3.2 The general FRW cosmological solutions 493
14.4 Cosmological Redshift 496
14.5 Newtonian Interpretation of the FRW Cosmology 497
14.6 The Big Bang 498
14.6.1 The age of the universe 499
14.7 Dark Matter 500
14.8 The Cosmic Microwave Background 502
14.8.1 Precision measurements of the CMB 503
14.9 The Cosmological Constant 504
14.10 Galaxy Formation 505
14.11 The Inflationary Universe 507
14.11.1 Particle horizons 508
14.11.2 Inflation 510
15 Frontiers of Physics 514
15.1 The Interpretation of Quantum Mechanics 514
15.1.1 Schrödinger s cat and Wigner s friend 515
15.1.2 The many-worlds interpretation 518
15.1.3 The EPR paradox 518
15.1.4 The Aspect experiments 519
15.2 The Problem of Point Particles 524
15.2.1 Solitons 525
15.2.2 Skyrmions 527
15.3 Critique of the Standard Model 529
15.4 Topology and the Standard Model 530
15.5 Beyond the Standard Model 532
15.5.1 Grand Unified Theories 533
15.5.2 Supersymmetry 534
15.6 String Theory 535
15.6.1 Compactification 538
Picture Credits 541
Index 543
Biographies 557
|
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| spelling | Manton, Nicholas 1952- Verfasser (DE-588)173712126 aut The physical world an inspirational tour of fundamental physics Nicholas Manton (Professor at the Department of Applied Mathematics and Theoretical Physics, University of Cambridge), Nicholas Mee (Trinity College, Cambridge) First edition Oxford Oxford University Press 2017 xiii, 556 Seiten Illustrationen, Diagramme (teilweise farbig) txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Darstellung (DE-588)4200624-7 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Physik (DE-588)4045956-1 s Darstellung (DE-588)4200624-7 s DE-604 Mee, Nicholas Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029617923&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Manton, Nicholas 1952- Mee, Nicholas The physical world an inspirational tour of fundamental physics Darstellung (DE-588)4200624-7 gnd Physik (DE-588)4045956-1 gnd |
| subject_GND | (DE-588)4200624-7 (DE-588)4045956-1 |
| title | The physical world an inspirational tour of fundamental physics |
| title_auth | The physical world an inspirational tour of fundamental physics |
| title_exact_search | The physical world an inspirational tour of fundamental physics |
| title_full | The physical world an inspirational tour of fundamental physics Nicholas Manton (Professor at the Department of Applied Mathematics and Theoretical Physics, University of Cambridge), Nicholas Mee (Trinity College, Cambridge) |
| title_fullStr | The physical world an inspirational tour of fundamental physics Nicholas Manton (Professor at the Department of Applied Mathematics and Theoretical Physics, University of Cambridge), Nicholas Mee (Trinity College, Cambridge) |
| title_full_unstemmed | The physical world an inspirational tour of fundamental physics Nicholas Manton (Professor at the Department of Applied Mathematics and Theoretical Physics, University of Cambridge), Nicholas Mee (Trinity College, Cambridge) |
| title_short | The physical world |
| title_sort | the physical world an inspirational tour of fundamental physics |
| title_sub | an inspirational tour of fundamental physics |
| topic | Darstellung (DE-588)4200624-7 gnd Physik (DE-588)4045956-1 gnd |
| topic_facet | Darstellung Physik |
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