Lectures (Video)

- 1. Introduction and Newtonian Mechanics
- 2. Vectors in Multiple Dimensions
- 3. Newton's Laws of Motion
- 4. Inclined Planes
- 5. Work-Energy Theorem and Law of Conservation of Energy
- 6. Law of Conservation of Energy in Higher Dimensions
- 7. Kepler's Laws
- 8. Dynamics of Multiple-Body System and Law of Conservation of Momentum
- 9. Rotations, Part I: Dynamics of Rigid Bodies
- 10. Rotations, Part II: Parallel Axis Theorem
- 11. Torque
- 12. Introduction to Relativity
- 13. Lorentz Transformation
- 14. Introduction to the Four-Vector
- 15. Four-Vector in Relativity
- 16. Taylor Series and Other Mathematical Concepts
- 17. Simple Harmonic Motion
- 18. Introduction to Waves
- 19. Waves
- 20. Fluid Dynamics, Statics and Bernoulli's Equation
- 21. Thermodynamics
- 22. Boltzmann Constant and First Law of Thermodynamics
- 23. Second Law of Thermodynamics and Carnot's Engine
- 24. Entropy

## Fundamentals of Physics - Lecture 14

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Lecture 14 - Introduction to the Four-Vector
The four-vector is introduced that unifies space-time coordinates x, y, z and t into a single entity whose components get mixed up under Lorentz transformations. The length of this four-vector, called the space-time interval, is shown to be invariant (the same for all observers). Likewise energy and momentum are unified into the energy-momentum four-vector. Lecture notes are the same as for Lecture 12 (457 KB pdf)
Prof. Ramamurti Shankar
PHYS 20 Fundamentals of Physics (Fall, 2006) (Yale University: Open Yale) http://oyc.yale.edu Date accessed: 2009-04-11 License: Creative Commons BY-NC-SA |

### Lecture Material

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