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Introduction to modern physics: theoretical foundations
Author
Publisher
World Scientific
Publication Date
c2008
Language
English
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Table of Contents
From the Book
Preface
1. Introduction
2. Classical Physics
2.1. Newton's Laws
2.1.1. Discrete Mechanics
2.1.2. Continuum Mechanics
2.1.3. Some Mathematics
2.2. Statistical Physics
2.2.1. Classical Statistical Mechanics
2.2.2. Equipartition Theorem
2.3. Electrodynamics
2.3.1. Basic Principles
2.3.2. Some Applications
2.3.3. Maxwell's Equations
2.3.4. Electromagnetic Radiation
2.3.5. Source of Radiation
3. Some Contradictions
3.1. Specific Heat of Solids
3.2. Black-Body Radiation
3.2.1. Planck's Hypothesis
3.3. Specific Heat - Revisited
3.3.1. Einstein Model
3.3.2. Debye Model
3.4. Photoelectric Effect
3.4.1. Einstein's Analysis
3.5. Compton Scattering
3.6. Atomic Spectra
3.6.1. Rutherford Atom
3.6.2. Bohr Atom
4. Quantum Mechanics
4.1. Matter Waves
4.2. Davisson-Germer Experiment
4.3. Schrodinger Equation
4.3.1. One-Dimensional Wave Equation
4.3.2. Phase Velocity
4.3.3. Group Velocity
4.3.4. Interpretation
4.3.5. Differential Equation
4.3.6. More Mathematics
4.3.7. Continuity Equation
4.3.8. General Solution for Free Particle
4.3.9. Interpretation (Continued)
4.3.10. Include Forces
4.3.11. Boundary Conditions
4.3.12. Stationary States
4.4. Solution to Some One-Dimensional Problems
4.4.1. Particle in a One-Dimensional Box
4.4.2. Potential Barrier in One-Dimension
4.4.2.1. Scattering State
4.4.2.2. Reflection and Transmission Coefficients
4.4.3. Boundary Condition at a Wall
4.4.4. Simple Harmonic Oscillator
4.5. Three Dimensions
4.5.1. Classical Continuum Mechanics
4.5.2. Schrodinger Equation
4.5.3. Particle in a Three-Dimensional Box
4.5.4. Free Particle - Periodic Boundary Conditions
4.6. Comments on the Structure of Quantum Mechanics
4.7. Angular Momentum
4.8. Point Coulomb Potential
4.9. Spin
4.10. Identical Particles
4.10.1. Connection Between Spin and Statistics
4.10.2. Non-interacting, Spin-1/2 Fermions ("Fermi Gas")
4.10.3. Non-Interacting Bosons ("Bose Gas")
4.10.4. Quantum Statistics (T [not equal] 0)
4.10.5. Wave Functions
5. Atomic Physics
5.1. Vector Model for Addition of Angular Momenta
5.1.1. Larmor's Theorem
5.1.2. Effective Magnetic Moment
5.2. Zeeman Effect
5.3. Spin-Orbit Interaction
5.4. Thomas-Fermi Theory
5.4.1. Thomas-Fermi Equation
5.4.2. Binding Energy of Atom
5.4.3. Numerical Results
5.5. Periodic System of the Elements
5.5.1. Shielded Coulomb Potential
5.5.2. Hartree Approximation
5.5.3. Structure of the Single-Particle Levels
5.5.4. Chemical Properties of the Elements
6. Nuclear Physics
6.1. Baryons
6.2. [Beta]-decay
6.3. Mean Life
6.4. Deuteron
6.5. Atomic Masses
6.6. Light Nuclei
6.7. Semi-Empirical Mass Formula
6.7.1. Bulk Properties
6.7.2. Surface Energy
6.7.3. Coulomb Energy
6.7.4. Symmetry Energy
6.7.5. Pairing Energy
6.7.6. Empirical Fit
6.8. Electron Scattering
6.8.1. Single-Slit Diffraction
6.8.2. Electron Scattering from a Charge Distribution
6.8.3. Nuclear Charge Distribution
6.9. Nuclear Matter
6.10. Shell Model
6.10.1. A Simple Model
6.10.2. More Realistic Model
6.10.3. Spin-Orbit Interaction
6.10.4. Nuclear Spins and Parities
6.10.5. Schmidt Lines
6.11. [gamma]-Decay
7. Particle Physics
7.1. Forces
7.2. Particles
7.2.1. Electric Charge
7.3. Hadrons
7.3.1. Baryon Number
7.3.2. Strangeness
7.3.3. Isospin
7.3.4. Charm
7.4. Yukawa Interaction
7.5. Leptons
7.6. Antiparticles
7.7. Feynman Diagrams
7.8. S-matrix
7.8.1. Transition Rate
7.8.2. Cross Section
7.9. Feynman Diagrams (Continued)
7.10. Quantum Electrodynamics (QED)
7.10.1. [mu]-e Scattering
7.10.2. Anomalous Magnetic Moment of Electron
7.11. Quarks
7.11.1. Nuclear Domain
7.11.2. Some Applications
7.12. Quantum Chromodynamics (QCD)
7.13. Standard Model of Electroweak Interactions
8. Special Relativity
8.1. Michelson-Morley Experiment
8.2. Lorentz Transformation
8.3. Einstein's Theory
8.4. Time Dilation
8.5. Lorentz Contraction
8.6. Transverse Dimension
8.7. Minkowski Space
8.8. Four-Vectors
8.9. Some Applications
8.9.1. Relativistic Kinematics
8.9.2. White Dwarf Stars
9. Relativistic Quantum Mechanics
9.1. The Dirac Equation
9.1.1. Non-Relativistic Reduction
9.1.2. Electromagnetic Current
9.1.3. Covariant Form
9.1.4. Dirac Hole Theory
9.1.5. Electromagnetic Interactions
9.2. Quantum Electrodynamics (QED)
9.3. Weak Interactions
9.4. Quantum Chromodynamics (QCD)
10. General Relativity
10.1. Motion on a Two-Dimensional Surface
10.2. Equivalence Principle
10.3. Local Freely Falling Frame (LF[superscript 3])
10.4. Special Relativity
10.5. Einstein's Theory of General Relativity
10.6. Schwarzschild Solution
10.6.1. Interpretation
10.6.2. Some Applications
10.6.3. Schwarzschild Radius
10.6.4. Motion of a Point Mass
10.7. Cosmology
10.7.1. Robertson-Walker Metric (k = 0)
10.7.2. Interpretation
10.7.3. Horizon
11. Quantum Fluids
11.1. Superfluid [superscript 4]He
11.1.1. Hartree Approximation
11.1.2. Velocity Field
11.1.3. Quantized Circulation
11.1.4. Gross-Pitaevskii Equation
11.1.5. Vortex
11.1.6. Superfluidity
11.2. Superconductivity
11.2.1. Experimental Properties
11.2.2. Some Observations
11.2.3. Cooper Pairs
11.2.4. Flux Quantization
12. Quantum Fields
12.1. String
12.1.1. Energy
12.1.2. Normal Modes
12.1.3. Quantization
12.1.4. The Quantum Field
12.2. Electromagnetic Field
12.2.1. Normal Modes
12.2.2. Quantization
12.2.3. Stimulated Emission
12.3. Dirac Field
12.3.1. Anticommutation Relations
12.3.2. Dirac Field
12.3.3. Some Applications
12.4. Many-Particle Systems
13. Problems
Appendix A. Complex Variables-A Primer
Appendix B. Matrices
Appendix C. Fourier Series and Fourier Integrals
Appendix D. Some Thermodynamics
Appendix E. Some Statistical Mechanics
Appendix F. Some Vector Calculus
Appendix G. Black-Body Flux
Appendix H. Wave Functions for Identical Particles
H.1. Bosons
H.2. Fermions
H.3. Some Applications
Appendix I. Transition Rate
Appendix J. Neutrino Mixing
Appendix K. Units
K.1. Standard International (SI)
K.2. Heaviside-Lorentz (rationalized cgs)
K.3. cgs
Appendix L. Fundamental Constants
L.1. Conversion Factors
Appendix M. Some Significant Names for Theoretical Physics
Bibliography
Index
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ISBN
9789812812254
9789812812247
9789812812247
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