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PHY 712 Electrodynamics 9-9:50 AM MWF Olin 105 Plan for Lecture 25:

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Presentation on theme: "PHY 712 Electrodynamics 9-9:50 AM MWF Olin 105 Plan for Lecture 25:"— Presentation transcript:

1 PHY 712 Electrodynamics 9-9:50 AM MWF Olin 105 Plan for Lecture 25:
Start reading Chap. 11 Equations in cgs (Gaussian) units Special theory of relativity Lorentz transformation relations 03/20/2018 PHY 712 Spring Lecture 25

2 03/20/2018 PHY 712 Spring Lecture 25

3 03/20/2018 PHY 712 Spring Lecture 25

4 03/20/2018 PHY 712 Spring Lecture 25

5 Notions of special relativity
The basic laws of physics are the same in all frames of reference (at rest or moving at constant velocity). The speed of light in vacuum c is the same in all frames of reference. y’ y v x x’ y’ x’ y x 03/20/2018 PHY 712 Spring Lecture 25

6 Lorentz transformations
y’ y v x x’ y’ x’ y x 03/20/2018 PHY 712 Spring Lecture 25

7 Lorentz transformations -- continued
03/20/2018 PHY 712 Spring Lecture 25

8 Examples of other 4-vectors applicable to the Lorentz transformation:
03/20/2018 PHY 712 Spring Lecture 25

9 The Doppler Effect 03/20/2018 PHY 712 Spring Lecture 25

10 The Doppler Effect -- continued
x y x’ v y’ k’ k 03/20/2018 PHY 712 Spring Lecture 25

11 Electromagnetic Doppler Effect (q=0)
Sound Doppler Effect (q=0) 03/20/2018 PHY 712 Spring Lecture 25

12 Lorentz transformation of the velocity
For an infinitesimal increment: 03/20/2018 PHY 712 Spring Lecture 25

13 Lorentz transformation of the velocity -- continued
03/20/2018 PHY 712 Spring Lecture 25

14 Example of velocity variation with b:
ux/c uy/c 03/20/2018 PHY 712 Spring Lecture 25

15 03/20/2018 PHY 712 Spring Lecture 25

16 Velocity transformations continued:
Velocity 4-vector: 03/20/2018 PHY 712 Spring Lecture 25

17 Some details: 03/20/2018 PHY 712 Spring Lecture 25

18 Significance of 4-velocity vector:
Introduce the “rest” mass m of particle characterized by velocity u: Properties of energy-moment 4-vector: 03/20/2018 PHY 712 Spring Lecture 25

19 Properties of Energy-momentum 4-vector -- continued
03/20/2018 PHY 712 Spring Lecture 25

20 Summary of relativistic energy relationships
03/20/2018 PHY 712 Spring Lecture 25

21 Special theory of relativity and Maxwell’s equations
03/20/2018 PHY 712 Spring Lecture 25

22 More 4-vectors: 03/20/2018 PHY 712 Spring Lecture 25

23 Lorentz transformations
03/20/2018 PHY 712 Spring Lecture 25

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