Note: Teilweise auch Sekundärausgabe

Note: Spätere Ausgabe im Verlag Harri Deutsch erschienen , Spätere Ausgabe im Verlag Europa-Lehrmittel, Haan-Gruiten, erschienen , Später hrsg. von Paul Ziesche

Note: Cover -- Title Page -- Copyright Page -- Contents -- Preface and Acknowledgments -- Chapter 1 Mathematical Methods -- 1.1 Special Functions -- 1.1.1 Taylor Series Expansion -- 1.1.2 Fourier Series Expansion -- 1.1.3 Fourier Series Transform -- 1.1.4 Dirac Delta Function -- 1.2 Vector Analysis -- 1.2.1 Gradient Theorem -- 1.2.2 Stokes's Theorem -- 1.2.3 Gauss's Theorem -- 1.2.4 Green's Theorem -- 1.2.5 Fundamental Theorem of Vector Fields -- 1.2.6 Additional Properties of Vector Fields -- 1.2.7 Properties of Vector Spaces -- 1.3 Solving Differential Equations -- 1.3.1 The Substitution Method -- 1.3.2 The Laplace Transform Method -- 1.3.3 The Green's Function Method -- 1.4 Complex Variables -- 1.4.1 Analytic Functions -- 1.4.2 Cauchy Integral Formula -- 1.4.3 Residue Theorem -- 1.5 Tensor Analysis -- 1.5.1 General Properties -- 1.6 Bibliography -- Chapter 2 Classical Mechanics -- 2.1 Fundamental Techniques -- 2.1.1 The Virial Theorem -- 2.1.2 D'Alembert's Principle -- 2.1.3 Lagrange's Equation -- 2.2 Variational Techniques -- 2.2.1 The Calculus of Variations -- 2.2.2 Hamilton's Principle -- 2.2.3 Lagrange Multipliers -- 2.3 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 -- 2.4 Oscillatory Motion -- 2.4.1 Oscillations -- 2.5 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 -- 2.6 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 -- 2.7 Bibliography -- Chapter 3 Electrodynamics -- 3.1 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 -- 3.2 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 -- 3.3 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 -- 3.4 Conductors and Dielectrics -- 3.4.1 Conducting Surfaces -- 3.4.2 Image Charges -- 3.4.3 An Ideal Dielectric -- 3.4.4 The Dielectric Constant -- 3.4.5 Dielectric Effects -- 3.5 Magnetostatics -- 3.5.1 The Vector Potential -- 3.5.2 Induced Electromotive Forces -- 3.5.3 The Magnetostatic Vector Potential, Biot-Savart Law -- 3.5.4 Magnetic Induction -- 3.5.5 Permeability and Ferromagnetism -- 3.6 A Comparison of mks and cgs Units -- 3.7 Bibliography -- Chapter 4 Optics -- 4.1 Reflection and Refraction -- 4.2 Interference -- 4.3 Diffraction -- 4.4 Bibliography -- Chapter 5 Fluid Dynamics -- 5.1 The Boltzmann Equation -- 5.2 The Fluid Equation -- 5.2.1 The Equation of Continuity -- 5.2.2 Conservation of Momentum -- 5.2.3 Conservation of Energy -- 5.2.4 Using the Fluid Equations: Sound Waves -- 5.3 Circulation and Vorticity -- 5.4 Shear-Stress Tensor and the Navier-Stokes Equations -- 5.4.1 Flow between Parallel Plates -- 5.4.2 Flow in a Pipe -- 5.5 Bernoulli's Equation -- 5.6 Bibliography -- Chapter 6 Plasma Physics -- 6.1 Basic Plasma Properties -- 6.1.1 Debye Shielding -- 6.1.2 The Plasma Parameter -- 6.1.3 The Plasma Frequency -- 6.1.4 Collisions -- 6.2 Single Particle Motion -- 6.2.1 Cyclotron Motion -- 6.2.2 E cross B Drift -- 6.2.3 Grad B Drift -- 6.3 The Ponderomotive Force -- 6.4 Plasma Waves -- 6.4.1 Plasma Oscillations -- 6.4.2 Ion Plasma Waves -- 6.4.3 Electrostatic Waves -- 6.4.4 Electromagnetic Waves -- 6.5 Magnetohydrodynamics -- 6.6 Bibliography. , Chapter 7 Relativity -- 7.1 Special Relativity -- 7.1.1 The Postulates of Special Relativity -- 7.1.2 The Lorentz Transformations -- 7.1.3 Velocity Transformation and Proper Acceleration -- 7.1.4 Relativistic Energy and Momentum -- 7.1.5 Relativistic Electrodynamics -- 7.2 General Relativity -- 7.2.1 The Structure of Spacetime -- 7.2.2 The Vacuum Field Equations -- 7.2.3 The Schwarzschild Solution -- 7.2.4 Predictions of General Relativity -- 7.3 Bibliography -- Chapter 8 Quantum Mechanics -- 8.1 Fundamental Postulates of Quantum Mechanics -- 8.1.1 State Functions -- 8.1.2 Operators -- 8.1.3 Summary -- 8.2 Mathematical Interpretation -- 8.2.1 The Heisenberg Uncertainty Principle -- 8.2.2 The Schrödinger Equation -- 8.2.3 Ehrenfest's Theorem -- 8.2.4 The Virial Theorem -- 8.2.5 Conservation of Probability -- 8.3 Applications: One-Dimensional Systems -- 8.3.1 Square Well-Perfectly Rigid Walls -- 8.3.2 Square Well-Finite Potential Step -- 8.3.3 One-Dimensional Square Potential Barrier -- 8.3.4 Linear Harmonic Oscillator -- 8.4 Applications: Three-Dimensional Systems -- 8.4.1 Spherical Potentials -- 8.4.2 Radial Spherical Potential -- 8.5 Approximation Methods -- 8.5.1 Stationary Perturbation Theory -- 8.5.2 The Variational (Rayleigh-Ritz) Method 236 -- 8.5.3 WKB Approximation -- 8.5.4 Time-Dependent Perturbation Theory -- 8.6 Scattering -- 8.6.1 Scattering Cross Section -- 8.6.2 Method of Partial Waves -- 8.7 Approximation Methods in Collision Theory -- 8.7.1 Scattering Matrix -- 8.7.2 Born Approximation -- 8.8 Angular Momentum -- 8.8.1 Orbital Angular Momentum -- 8.8.2 Total Angular Momentum -- 8.8.3 Clebsch-Gordon Coefficients -- 8.9 Relativistic Wave Equation -- 8.10 Bibliography -- Chapter 9 Atomic Physics -- 9.1 Experimental Atomic Physics -- 9.1.1 Thomson's Measurement of e/m -- 9.1.2 Millikan's Oil Drop Experiment -- 9.1.3 The Compton Effect. , 9.1.4 The Stern-Gerlach Experiment -- 9.2 One Electron Atoms -- 9.2.1 Bohr Model of Hydrogen -- 9.2.2 Solutions to the Schrödinger Equation -- 9.3 Interaction of One Electron Atoms with Electromagnetic Radiation -- 9.3.1 Principle of Detailed Balancing -- 9.3.2 Einstein Coefficients -- 9.3.3 Selection Rules -- 9.3.4 Oscillator Strengths -- 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 Hyperfine Structure -- 9.4 Many-Electron Atoms -- 9.4.1 The Schrödinger Equation -- 9.4.2 Two-Electron Atoms -- 9.4.3 Central Field Approximation -- 9.4.4 Thomas-Fermi Model -- 9.4.5 Hund Rule -- 9.5 Bibliography -- Chapter 10 Nuclear Physics -- 10.1 Properties of the Nucleus -- 10.1.1 Nomenclature -- 10.1.2 Meson Theory of Nuclear Forces -- 10.2.3 Nuclear Magnetic Resonance -- 10.2 Stopping Nuclear Radiation -- 10.2.1 Stopping Charged Particles -- 10.2.2 Stopping Photons -- 10.3 Nuclear Disintegration Processes - Radioactivity -- 10.3.1 Alpha Disintegration -- 10.3.2 Beta Disintegration -- 10.3.3 Gamma Emission -- 10.4 Nuclear Reactions -- 10.4.1 Nuclear Scattering (Nonrelativistic) -- 10.4.2 Fission -- 10.4.3 Fusion -- 10.5 Elementary Particle Physics -- 10.5.1 The Quark Model -- 10.6 Bibliography -- Chapter 11 Statistical Physics -- 11.1 Thermodynamics -- 11.1.1 The Basic Laws of Thermodynamics -- 11.1.2 The Carnot Cycle -- 11.1.3 Thermodynamic Functions -- 11.2 Ideal Gas -- 11.2.1 Kinetic Theory -- 11.2.2 Maxwell-Boltzmann Velocity Distribution -- 11.3 Density of States -- 11.3.1 General Case -- 11.3.2 The Boltzmann Factor -- 11.4 Quantum Gas -- 11.4.1 Partition Function -- 11.4.2 Bose-Einstein Gas (Bosons) -- 11.4.3 Fermi-Dirac Gas (Fermions) -- 11.5 Counting Statistics -- 11.5.1 Maxwell-Boltzmann Gas (Distinguishable Particles) -- 11.5.2 Bose-Einstein Gas (Bosons). , 11.5.3 Fermi-Dirac Gas (Fermions) -- 11.6 Equilibrium Ensembles -- 11.6.1 The Microcanonical Ensemble -- 11.6.2 The Canonical Ensemble -- 11.6.3 The Grand Canonical Ensemble -- 11.7 Phase Transitions -- 11.7.1 Bose-Einstein Condensation -- 11.7.2 The Ising Model -- 11.8 Quantum Statistical Mechanics -- 11.9 Equipartition Theorem -- 11.10 Theory of Solids -- 11.10.1 Einstein Theory of Solids -- 11.10.2 Debye Theory of Solids -- 11.11 Bibliography -- Chapter 12 Solid State Physics -- 12.1 Conductors -- 12.1.1 Drude Theory of Metals -- 12.2 Ground State Properties of the Electron Gas -- 12.2.1 Definitions -- 12.3 Crystalline Structure -- 12.3.1 Bravais Lattice -- 12.3.2 Reciprocal Lattice -- 12.3.3 Measurement of Atomic Structure -- 12.3.4 Brillouin Zones -- 12.3.5 Fermi Surfaces -- 12.4 Bloch's Theorem -- 12.5 Electrons in a Weak Periodic Potential -- 12.6 Semiconductor Devices -- 12.6.1 The pn Junction -- 12.6.2 The pnp Junction -- 12.7 Bibliography -- Appendix A Vector Identities -- Appendix B Vector Derivatives -- Appendix C Physical Constants -- Periodic Table of the Elements -- Index.

Note: Cover -- Title Page -- Copyright Page -- Table of Contents -- Introduction -- Acknowledgments -- 1: What this book is about -- 1.1 Introduction -- 1.2 My story -- 1.3 Intuition -- 1.4 Incompleteness -- 1.5 Human aspects -- 1.6 Reasons for reading this book -- 1.7 Arrangement of the chapters -- 2: There is no free lunch. Temperature and energy: science for the environment (Hero: Count Rumford) -- 2.1 Introduction -- 2.2 How cold can we get? -- 2.3 Historical notes on thermodynamics -- 2.4 What Is the highest temperature? -- 2.5 What is energy conservation? -- 2.6 A marriage of energy and mass -- 2.7 Perpetual motion? -- 2.8 Energy for mankind -- 2.9. Summary -- 3: Painting by numbers. Elements and particles: science as prediction (Hero: Dmitri Mendeleev) -- 3.1 Introduction -- 3.2 Chemistry in 1867 -- 3.3 The Periodic Table and three predictions -- 3.4 Confirmation -- 3.5 The atom in the 1890s -- 3.6 The atom split -- 3.7 Incompleteness -- 3.8 Plum-pudding or planetary system? -- 3.9 A taxonomy of particles -- 3.10 Basic forces -- 3.11 Predictions of particles -- 3.12 Electrons yield modern electronics -- 3.13 Summary -- 4: Why you cannot unscramble an egg. Time and entropy: science and the unity of knowledge (Hero: Ludwig Boltzmann) -- 4.1 What is entropy? -- 4.2 How can we move in time? -- 4.3 The first problem: can all molecular velocities be reversed? -- 4.4 A second problem: coarse-graining -- 4.5 Time's arrow as an illusion -- 4.6 Different arrows of time -- 4.7 Entropy as metaphor -- 4.8 Summary -- 5: How a butterfly caused a tornado. Chaos and life: science as synthesis (Hero: Charles Darwin) -- 5.1 Introduction -- 5.2 Limits of predictability in Newtonian mechanics -- 5.3 Chemical and population chaos -- 5.4 Abrupt changes ('phase transitions') -- 5.5 Self-organization -- 5.6 Entropy is not always disorder -- 5.7 The origin of life. , 5.8 Summary -- 6: Now you see it, now you don't. Quantum theory: science and the invention of concepts (Hero: Max Planck) -- 6.1 Introduction -- 6.2 Quantum mechanics: the elimination of unobservables -- 6.3 Wave mechanics: the optics-mechanics analogy -- 6.4 A brief history of the new mechanics -- 6.5 Wavefunctions and probabilities -- 6.6 Attempts to understand quantum mechanics -- 6.7 Comments on quantum mechanics -- 6.8 Quantum effects -- 6.9 Can gravity affect temperature or light? -- 6.10 Matter drained of heat -- 6.11 A look at superconductivity -- 6.12 Summary -- 7: The galactic highway. Cosmology: science as history (Hero: Albert Einstein) -- 7.1 Ages -- 7.2 Hubble's law -- 7.3 Cosmological models -- 7.4 The 'relic' radiation -- 7.5 Olbers' Paradox -- 7.6 The oscillating universe -- 7.7 The origin of the elements -- 7.8 Black holes -- 7.9 Some problems -- 7.10 Time machines -- 7.11 Summary -- 8: Weirdness or purity. Mathematics: science as numbers (Hero: Arthur Eddington) -- 8.1 Introduction -- 8.2 Gödel's theorem: consistency and incompleteness -- 8.3 Complexity and randomness -- 8.4 Infinities -- 8.5 The physical constants -- 8.6 Cosmical coincidences -- 8.7 The anthropic principle -- 8.8 The Copemican principle -- 8.9 Summary -- 9: The last question. Does God exist? (Hero: Blaise Pascal) -- 9.1 Introduction -- 9.2 Gödelian statements -- 9.3 The evidence of thermodynamics -- 9.4 The evidence from cosmology -- 9.5 The evidence from quantum mechanics -- 9.6 Conclusion -- 10: Love of my life. Science as human activity (Hero: readers are invited to choose their own) -- 10.1 Happiness -- 10.2 Limits of science -- 10.3 Distortions: science and the public -- 10.4 Science wars? -- 10.5. Concluding remarks -- Glossary -- References -- Name Index -- Index.

Note: Intro -- Title Page -- Contents -- Copyright -- Epigraph -- Dedication -- Author’s Note -- Acknowledgments -- Introduction -- PART I: The Art of Knowing -- Chapter One -- Chapter Two -- Chapter Three -- Chapter Four -- Chapter Five -- PART II: Movers and Shakers -- Chapter Six -- Chapter Seven -- Chapter Eight -- PART III: Threads and Knots -- Chapter Nine -- Chapter Ten -- Chapter Eleven -- Chapter Twelve -- Chapter Thirteen -- Chapter Fourteen -- Forces and Influences -- Selected Bibliography and Recommended Reading -- Index -- Connect with HMH -- Footnotes.