Contents of the Course Modern Physics PHY 353

Dr. M. Abdelhalim

Associate Professor

Department of Physics and Astronomy, College of Science, King Saud University

E-mail: mabdulhleem@ksu.edu.sa

Home Page:

http://www.ksu.edu.sa/sites/ksuarabic/Pages/Home.aspx http://faculty.ksu.edu.sa/72438/Pages/Home.aspxChapter 1

The Theory of Special Relativity: The Lorentz Transformation

1.1 Introduction

1.2 Classical Relativity: The Galilean Transformation Equation

1.3 Electromagnetic Waves and the Luminiferous Ether

1.4 The Michelson-Morley Experiment

1.5 The Theory of Special Relativity

1.6 The Lorentz Transformations

1.6.1 Simultaneity, Length Contraction, and Time Dilation

1.6.2 The Twin Paradox

1.6.3 The Velocity Transformations

1.7 Consequences of the Lorentz Transformations

1.7.1 The Relativistic Dopppler Effect

1.7.2 Experimental Evidence of Relativistic kinematics

1.8 The Relativistic Expressions in the classical Limit

Chapter 2

The Theory of Special Relativity: relativistic dynamics

2.1 Introduction

2.2 Relativistic Momentum

2.3 Energy

2.4 Relativistic Invariants

2.5 Force and Acceleration

Chapter 3

The General Theory of Relativity

3.1 Introduction

3.2 The Principle of Equivalence

3.3 Gravitational Time Dilation and Length Contraction

3.4 The general Theory of Relativity: Gravitation

3.5 The Theory of Special Relativity

1.6 Predictions of the General Theory of Relativity

Chapter 4

Roots of the Quantum Theory

4.1 Introduction

4.2 Blackbody radiation

4.2.1 Derivation of the Planck Distribution Law

4.3 Specific Heat

4.3.1 Specific Heat of Crystals

4.3.2 Specific Heat of Gases

4.4 The Photoelectric Effect

4.5 X-Rays

4.6 Compton Scattering

Chapter 5

The Bohr-Rutherford Nuclear Atom

5.1 Charge and Mass of an Electron

5.2 Scattering Cross Section

5.3 Coulomb (Rutherford) Scattering

5.4 The Bohr Model of the Hydrogen Atom

5.5 Emission and Absorption of Radiation

5.6 Characteristic X-ray Lines

5.7 Franck-Hertz Experiment

5.8 The Correspondence Principle

Chapter 6

The Wave Nature of Particles

6.1 Introduction: de Broglie Relation

6.2 Experimental Evidence of Electron Waves

6.3 Complementarity

6.4 Uncertainty Principle

6.5 The wave Particle Duality and Complementarity:

A Gedanken Experiment

Chapter 7

The Schrödinger Equation

7.1 Introduction

7.2 The One-Dimensional Schrödinger Equation

7.3 The Time-Independent Schrödinger Equation

7.4 Interpretation of the Wave Function:

Probability Density and Expectation Values

7.5 Wave Packets: Group and Phase Velocities

7.6 Particle in a One-Dimensional Square Well

7.6.1 Infinite Potential Barriers

7.6.2 Finite Potential Barriers

7.7 Parity

7.8 Tunneling

7.9 The Harmonic Oscillator

Chapter 8

The Schrödinger Equation in Three Dimensions:

The Hydrogen Atom

8.1 Introduction

8.2 Solution of the Schrödinger Equation in Spherical Coordinates

8.2.1 Probability Densities and Expectation Values

8.3 Angular Momentum in Quantum Mechanics

8.3.1 Spatial Quantization

8.4 Degeneracy