Princeton guide to advanced physics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton Univ. Press
1996
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 397 S. graph. Darst. |
| ISBN: | 0691026629 069102670X |
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| adam_text | PRINCETON GUIDE TO ADVANCED PHYSICS ALAN * TRIBBLE PRINCETON UNIVERSITY
PRESS * PRINCETON, NEW JERSEY * CONTENTS PREFACE AND ACKNOWLEDGMENTS XV
CHAPTER 1 MATHEMATICAL METHODS 1.1 SPECIAL FUNCTIONS 1 1.1.1 TAYLOR
SERIES EXPANSION 1 1.1.2 FOURIER SERIES EXPANSION 1 1.1.3 FOURIER SERIES
TRANSFORM 2 1.1.4 DIRAC DELTA FUNCTION 3 1.2 VECTOR ANALYSIS 5 1.2.1
GRADIENT THEOREM 5 1.2.2 STOKES S THEOREM 5 1.2.3 GAUSS S THEOREM 6
1.2.4 GREEN S THEOREM 8 1.2.5 FUNDAMENTAL THEOREM OF VECTOR FIELDS 8
1.2.6 ADDITIONAL PROPERTIES OF VECTOR FIELDS 10 1.2.7 PROPERTIES OF
VECTOR SPACES 11 1.3 SOLVING DIFFERENTIAL EQUATIONS 12 1.3.1 THE
SUBSTITUTION METHOD 12 1.3.2 THE LAPLACE TRANSFORM METHOD 13 1.3.3 THE
GREEN S FUNCTION METHOD 18 1.4 COMPLEX VARIABLES 24 1.4.1 ANALYTIC
FUNCTIONS 24 1.4.2 CAUCHY INTEGRAL FORMULA 25 1.4.3 RESIDUE THEOREM 26
1.5 TENSOR ANALYSIS 30 1.5.1 GENERAL PROPERTIES 30 1.6 BIBLIOGRAPHY 32
CHAPTER 2 CLASSICAL MECHANICS 2.1 FUNDAMENTAL TECHNIQUES 33 2.1.1 THE
VIRIAL THEOREM 33 2.1.2 D ALEMBERT S PRINCIPLE 34 2.1.3 LAGRANGE S
EQUATION 34 VIII * CONTENTS 2.2 2.3 2.4 2.5 2.6 2.7 VARIATIONAL
TECHNIQUES 2.2.1 THE CALCULUS OF VARIATIONS 2.2.2 HAMILTON S PRINCIPLE
2.2.3 LAGRANGE MULTIPLIERS RIGID BODY MOTION 2.3.1 ROTATIONS 2.3.2 THE
RATE OF CHANGE OF A VECTOR 2.3.3 THE RIGID BODY EQUATIONS OF MOTION
OSCILLATORY MOTION 2.4.1 OSCILLATIONS HAMILTON S EQUATIONS 2.5.1
LEGENDRE TRANSFORMATIONS AND HAMILTON S EQUATIONS 2.5.2 CANONICAL
TRANSFORMATIONS 2.5.3 SYMPLECTIC TRANSFORMATIONS AND POISSON BRACKETS
CONTINUOUS SYSTEMS 2.6.1 THE TRANSITION FROM A DISCRETE TO A CONTINUOUS
SYSTEM 2.6.2 THE LAGRANGIAN FORMULATION 2.6.3 NOETHER S THEOREM
BIBLIOGRAPHY CHAPTER 3 ELECTRODYNAMICS 3.1 3.2 3.3 3.4 THE ELECTROSTATIC
FIELD 3.1.1 THE MAXWELL EQUATIONS 3.1.2 THE LORENTZ FORCE LAW 3.1.3
SUPERPOSITION OF COULOMB FORCES 3.1.4 THE ELECTROSTATIC POTENTIAL 3.1.5
MULTIPOLES 3.1.6 THE ENERGY OF ELECTROSTATIC SYSTEMS THE ELECTROMAGNETIC
FIELD 3.2.1 DESCRIBING LAPLACE FIELDS 3.2.2 FIELD ENERGY 3.2.3 THE
POYNTING VECTOR 3.2.4 FIELD MOMENTUM 3.2.5 FIELD ANGULAR MOMENTUM FIELDS
OF A MOVING POINT CHARGE 3.3.1 RETARDED POTENTIALS 3.3.2 RADIATION BY A
POINT CHARGE 3.3.3 LIENARD-WIECHERT POTENTIALS CONDUCTORS AND
DIELECTRICS 3.4.1 CONDUCTING SURFACES 42 42 44 44 48 48 53 55 60 60 64
64 67 68 70 70 72 73 76 77 77 78 78 81 83 86 88 88 91 93 93 95 96 96 97
98 100 100 CONTENTS * IX 3.4.2 IMAGE CHARGES 100 3.4.3 AN IDEAL
DIELECTRIC 104 3.4.4 THE DIELECTRIC CONSTANT 105 3.4.5 DIELECTRIC
EFFECTS 107 3.5 MAGNETOSTATICS 108 3.5.1 THE VECTOR POTENTIAL 108 3.5.2
INDUCED ELECTROMOTIVE FORCES 109 3.5.3 THE MAGNETOSTATIC VECTOR
POTENTIAL, BIOT-SAVART LAW 110 3.5.4 MAGNETIC INDUCTION 111 3.5.5
PERMEABILITY AND FERROMAGNETISM 113 3.6 A COMPARISON OF MKS AND CGS
UNITS 113 3.7 BIBLIOGRAPHY 114 CHAPTER 4 OPTICS 4.1 REFLECTION AND
REFRACTION 115 4.2 INTERFERENCE 118 4.3 DIFFRACTION 119 4.4 BIBLIOGRAPHY
121 CHAPTER 5 FLUID DYNAMICS 5.1 THE BOLTZMANN EQUATION 122 5.2 THE
FLUID EQUATION 123 5.2.1 THE EQUATION OF CONTINUITY 123 5.2.2
CONSERVATION OF MOMENTUM 125 5.2.3 CONSERVATION OF ENERGY 128 5.2.4
USING ME FLUID EQUATIONS: SOUND WAVES 131 5.3 CIRCULATION AND VORTICITY
133 5.4 SHEAR-STRESS TENSOR AND THE NAVIER-STOKES EQUATIONS 134 5.4.1
FLOW BETWEEN PARALLEL PLATES 137 5.4.2 FLOW IN A PIPE 138 5.5
BERNOULLI S EQUATION 139 5.6 BIBLIOGRAPHY 140 CHAPTER 6 PLASMA PHYSICS
6.1 BASIC PLASMA PROPERTIES 141 6.1.1 DEBYE SHIELDING 141 6.1.2 THE
PLASMA PARAMETER 142 6.1.3 THE PLASMA FREQUENCY 143 X * CONTENTS 6.1.4
COLLISIONS 144 6.2 SINGLE PARTICLE MOTION 146 6.2.1 CYCLOTRON MOTION 146
6.2.2 E CROSS * DRIFT 148 6.2.3 GRAD * DRIFT 149 6.3 THE PONDEROMOTIVE
FORCE 150 6.4 PLASMA WAVES 151 6.4.1 PLASMA OSCILLATIONS 151 6.4.2 ION
PLASMA WAVES 154 6.4.3 ELECTROSTATIC WAVES 155 6.4.4 ELECTROMAGNETIC
WAVES 157 6.5 MAGNETOHYDRODYNAMICS 164 6.6 BIBLIOGRAPHY 167 CHAPTER 7
RELATIVITY 7.1 SPECIAL RELATIVITY 168 7.1.1 THE POSTULATES OF SPECIAL
RELATIVITY 168 7.1.2 THE LORENTZ TRANSFORMATIONS 168 7.1.3 VELOCITY
TRANSFORMATION AND PROPER ACCELERATION 173 7.1.4 RELATIVISTIC ENERGY AND
MOMENTUM 175 7.1.5 RELATIVISTIC ELECTRODYNAMICS 178 7.2 GENERAL
RELATIVITY 179 7.2.1 THE STRUCTURE OF SPACETIME 179 7.2.2 THE VACUUM
FIELD EQUATIONS 182 7.2.3 THE SCHWARZSCHILD SOLUTION 183 7.2.4
PREDICTIONS OF GENERAL RELATIVITY 185 7.3 BIBLIOGRAPHY 189 CHAPTER 8
QUANTUM MECHANICS 8.1 FUNDAMENTAL POSTULATES OF QUANTUM MECHANICS 191
8.1.1 STATE FUNCTIONS 191 8.1.2 OPERATORS 192 8.1.3 SUMMARY 193 8.2
MATHEMATICAL INTERPRETATION 194 8.2.1 THE HEISENBERG UNCERTAINTY
PRINCIPLE 194 8.2.2 THE SCHROEDINGER EQUATION 198 8.2.3 EHRENFEST S
THEOREM 203 8.2.4 THE VIRIAL THEOREM 205 8.2.5 CONSERVATION OF
PROBABILITY 206 CONTENTS * XI 8.3 APPLICATIONS: ONE-DIMENSIONAL SYSTEMS
208 8.3.1 SQUARE WELL*PERFECTLY RIGID WALLS 208 8.3.2 SQUARE WELL*FINITE
POTENTIAL STEP 209 8.3.3 ONE-DIMENSIONAL SQUARE POTENTIAL BARRIER 211
8.3.4 LINEAR HARMONIE OSCILLATOR 213 8.4 APPLICATIONS: THREE-DIMENSIONAL
SYSTEMS 223 8.4.1 SPHERICAL POTENTIALS 223 8.4.2 RADIAL SPHERICAL
POTENTIAL 231 8.5 APPROXIMATION METHODS 232 8.5.1 STATIONARY
PERTURBATION THEORY 232 8.5.2 THE VARIATIONAL (RAYLEIGH-RITZ) METHOD 236
8.5.3 WKB APPROXIMATION 237 8.5.4 TIME-DEPENDENT PERTURBATION THEORY 238
8.6 SCATTERING 241 8.6.1 SCATTERING CROSS SECTION 241 8.6.2 METHOD OF
PARTIAL WAVES 245 8.7 APPROXIMATION METHODS IN COLLISION THEORY 247
8.7.1 SCATTERING MATRIX 247 8.7.2 BORN APPROXIMATION 249 8.8 ANGULAR
MOMENTUM 250 8.8.1 ORBITAL ANGULAR MOMENTUM 250 8.8.2 TOTAL ANGULAR
MOMENTUM 252 8.8.3 CLEBSCH-GORDON COEFFICIENTS 256 8.9 RELATIVISTIC WAVE
EQUATION 256 8.10 BIBLIOGRAPHY 259 CHAPTER 9 ATOMIC PHYSICS 9.1
EXPERIMENTAL ATOMIC PHYSICS 261 9.1.1 THOMSON S MEASUREMENT OF E/M 261
9.1.2 MILLIKAN S OIL DROP EXPERIMENT 262 9.1.3 THE COMPTON EFFECT 263
9.1.4 THE STERN-GERLACH EXPERIMENT 266 9.2 ONE ELECTRON ATOMS 264 9.2.1
BOHR MODEL OF HYDROGEN 267 9.2.2 SOLUTIONS TO THE SCHROEDINGER EQUATION
268 9.3 INTERACTION OF ONE ELECTRON ATOMS WITH ELECTROMAGNETIC RADIATION
271 9.3.1 PRINCIPLE OF DETAILED BALANCING 271 9.3.2 EINSTEIN
COEFFICIENTS 276 9.3.3 SELECTION RULES 277 9.3.4 OSCILLATOR STRENGTHS
277 XII * CONTENTS 9.4 9.5 9.3.5 LINE SHAPES 9.3.6 FINE STRUCTURE 9.3.7
ZEEMAN EFFECT 9.3.8 STARK EFFECT 9.3.9 LAMB SHIFT 9.3.10 HYPERFME
STRUCTURE MANY-ELECTRON ATOMS 9.4.1 THE SCHROEDINGER EQUATION 9.4.2
TWO-ELECTRON ATOMS 9.4.3 CENTRAL FIELD APPROXIMATION 9.4.4 THOMAS-FERMI
MODEL 9.4.5 HUND RULE BIBLIOGRAPHY CHAPTER 10 NUCLEAR PHYSICS 10.1 10.2
10.3 10.4 10.5 10.6 PROPERTIES OF THE NUCLEUS 10.1.1 NOMENCLATURE 10.1.2
MESON THEORY OF NUCLEAR FORCES 10.2.3 NUCLEAR MAGNETIC RESONANCE
STOPPING NUCLEAR RADIATION 10.2.1 STOPPING CHARGED PARTICLES 10.2.2
STOPPING PHOTONS NUCLEAR DISINTEGRATION PROCESSES - RADIOACTIVITY 10.3.1
ALPHA DISINTEGRATION 10.3.2 BETA DISINTEGRATION 10.3.3 GAMMA EMISSION
NUCLEAR REACTIONS 10.4.1 NUCLEAR SCATTERING (NONRELATIVISTIC) 10.4.2
FISSION 10.4.3 FUSION ELEMENTARY PARTICLE PHYSICS 10.5.1 THE QUARK MODEL
BIBLIOGRAPHY 278 279 281 282 283 283 285 285 286 286 287 290 291 292 292
293 294 295 295 298 299 302 303 303 304 304 305 305 306 307 309 CHAPTER
11 STATISTICAL PHYSICS 11.1 THERMODYNAMICS 310 11.1.1 THE BASIC LAWS OF
THERMODYNAMICS 310 11.1.2 THE CARNOT CYCLE 310 11.1.3 THERMODYNAMIC
FUNCTIONS 314 CONTENTS * XIII 11.2 11.3 11.4 11.5 11.6 11.7 11.8 11.9
11.10 11.11 IDEAL GAS 11.2.1 KINETIC THEORY 11.2.2 MAXWELL-BOLTZMANN
VELOCITY DISTRIBUTION DENSITY OF STATES 11.3.1 GENERAL CASE 11.3.2 THE
BOLTZMANN FACTOR QUANTUM GAS 11.4.1 PARTITION FUNCTION 11.4.2
BOSE-EINSTEIN GAS (BOSONS) 11.4.3 FERMI-DIRAC GAS (FERMIONS) COUNTING
STATISTICS 11.5.1 MAXWELL-BOLTZMANN GAS (DISTINGUISHABLE PARTICLES)
11.5.2 BOSE-EINSTEIN GAS (BOSONS) 11.5.3 FERMI-DIRAC GAS (FERMIONS)
EQUILIBRIUM ENSEMBLES 11.6.1 THE MICROCANONICAL ENSEMBLE 11.6.2 THE
CANONICAL ENSEMBLE 11.6.3 THE GRAND CANONICAL ENSEMBLE PHASE TRANSITIONS
1 1 .7.1 BOSE-EINSTEIN CONDENSATION 11.7.2 THE ISING MODEL QUANTUM
STATISTICAL MECHANICS EQUIPARTITION THEOREM THEORY OF SOLIDS 11.10.1
EINSTEIN THEORY OF SOLIDS 11.10.2 DEBYE THEORY OF SOLIDS BIBLIOGRAPHY
CHAPTER 12 SOLID STATE PHYSICS 12.1 CONDUCTORS 319 319 321 323 323 324
327 327 328 330 331 332 334 335 336 336 338 342 344 344 349 353 355 357
357 358 359 360 12.1.1 DRUDE THEORY OF METALS 360 12.2 GROUND STATE
PROPERTIES OF THE ELECTRON GAS 363 12.2.1 DEFINITIONS 365 12.3
CRYSTALLINE STRUCTURE 365 12.3.1 BRAVAIS LATTICE 365 12.3.2 RECIPROCAL
LATTICE 366 12.3.3 MEASUREMENT OF ATOMIC STRUCTURE 366 12.3.4 BRILLOUIN
ZONES 368 12.3.5 FERMI SURFACES 368 XIV * CONTENTS 12.4 BLOCH S THEOREM
369 12.5 ELECTRONS IN A WEAK PERIODIC POTENTIAL 374 12.6 SEMICONDUCTOR
DEVICES 378 12.6.1 THE PN JUNCTION 378 12.6.2 THE PNP JUNCTION 383 12.7
BIBLIOGRAPHY 387 APPENDIX A VECTOR IDENTITIES 388 APPENDIX * VECTOR
DERIVATIVES 389 APPENDIX * PHYSICAL CONSTANTS 391 PERIODIC TABLE OF THE
ELEMENTS 392 INDEX 393
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| title | Princeton guide to advanced physics |
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| title_full | Princeton guide to advanced physics Alan C. Tribble |
| title_fullStr | Princeton guide to advanced physics Alan C. Tribble |
| title_full_unstemmed | Princeton guide to advanced physics Alan C. Tribble |
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