summaries2 - Physics 7C Fall 2009 lecture bullet points I...

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Unformatted text preview: Physics 7C, Fall 2009 lecture bullet points I will write briefly the “bullet points” covered in each lecture. If you missed a lecture, you will definitely need to look at someone’s notes or the textbook, but this may help you know where to look. Lecture III : Gravitational Doppler effect and differences from non-relativistic case. Gravitational Dopper: f = s 1 + β 1- β f, (1) where a source moving toward the receiver has its light “blue-shifted”, and one moving away has its light “red-shifted”. Velocity addition law: considering what happens to a spacetime interval leads to a “velocity addition law”. A check on this law is that if a particle moves with the speed of light in one frame, it moves with that same speed in another frame. The velocity vector is found to transform differently from a spacetime vector. Four-vectors: the Lorentz transformation above can be written as a matrix L μν that takes the unprimed coordinates to the primed ones: x μ = L μν . So if we can define “momentum” in a way that it transforms with the same matrix, then conservation of momentum (i.e., that a certain sumthat it transforms with the same matrix, then conservation of momentum (i....
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summaries2 - Physics 7C Fall 2009 lecture bullet points I...

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