Unit 2970: Advanced Concepts in Modern Physics

1. The Quantum Nature of Light

1.1 Wave-Particle Duality

• Historical background: wave theory vs particle theory of light
• Evidence supporting dual nature

1.2 Photon Theory

• Definition and properties of photons
• Energy quantization: E = hf

1.3 The Photoelectric Effect

• Experimental setup and observations
• Einstein’s explanation and implications
• Threshold frequency and work function

2. Quantum Mechanics Fundamentals

2.1 Schrödinger's Equation

• Time-dependent and time-independent forms
• Physical interpretation of wave functions

2.2 Quantum Superposition

• Principle and examples
• Implications for measurement and states

2.3 Uncertainty Principle

• Heisenberg’s uncertainty relations
• Consequences for position and momentum measurements

3. Atomic Structure and Spectroscopy

3.1 Atomic Models

• Bohr model and its limitations
• Quantum mechanical model of the atom

3.2 Electron Configurations and Energy Levels

• Quantum numbers and orbitals
• Pauli exclusion principle and Hund’s rule

3.3 Spectroscopy

• Emission and absorption spectra
• Spectroscopic techniques and applications

4. Nuclear Physics

4.1 Structure of the Atomic Nucleus

• Protons, neutrons, and nuclear forces
• Nuclear binding energy

4.2 Nuclear Reactions

• Types: fusion, fission, and radioactive decay
• Conservation laws in nuclear reactions

4.3 Radioactivity and Decay

• Types of radioactive decay (alpha, beta, gamma)
• Half-life and decay equations

4.4 Applications

• Medical imaging and therapy
• Nuclear energy generation

5. Special Theory of Relativity

5.1 Postulates of Special Relativity

• Constancy of the speed of light
• Relativity of simultaneity

5.2 Time Dilation and Length Contraction

• Mathematical derivations and examples

5.3 Mass-Energy Equivalence

• Derivation and significance of E=mc²

5.4 Concept of Spacetime

• Minkowski space and four-vectors

6. General Theory of Relativity

6.1 Curvature of Spacetime

• Gravity as geometry
• Einstein’s field equations (conceptual overview)

6.2 Gravitational Waves

• Origin and detection

6.3 Black Holes

• Formation and properties
• Event horizon and singularity

6.4 Gravitational Lensing

• Bending of light by massive objects
• Observational evidence

7. Particle Physics

7.1 The Standard Model

• Fundamental particles: quarks, leptons, bosons
• Fundamental forces and force carriers

7.2 Particle Accelerators

• Purpose and types
• Key experiments and discoveries

7.3 Beyond the Standard Model

• Limitations and open questions
• Searches for dark matter, supersymmetry

8. Cosmology

8.1 The Big Bang Theory

• Evidence and timeline

8.2 Cosmic Microwave Background Radiation

• Discovery and significance

8.3 Dark Matter and Dark Energy

• Observational evidence
• Theoretical models

8.4 The Fate of the Universe

• Possible scenarios: heat death, big crunch, big rip