Recent content by durand

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    Expressing cartesian unit vectors in terms of spherical unit vectors

    tstin, thanks a lot for your post, it helped a lot!
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    Compton Scattering formula for 180 degree scattering.

    Yeah, I did find that, however, it uses a relativistic derivation so I can't really see how to do the last step as it's totally different to mine :/ Thanks anyway. My exam's in an hour so it doesn't really matter now. Thanks everyone for your help :)
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    Proving x^2-c^2*t^2 invariance

    Mmm, ok. I think I might be doing that next semester at uni.
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    Compton Scattering formula for 180 degree scattering.

    CoM: h/λ = mv + h/λ' CoE: hc/λ = hc/λ' + 0.5mv² By substituting one into the other, I reach the formula I mentioned in my first post.
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    Compton Scattering formula for 180 degree scattering.

    Uhm, I derived the first using conservation of momentum and energy at non relativistic speeds, when the photon bounces back. The second comes from the standard compton scattering formula.
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    Compton Scattering formula for 180 degree scattering.

    Hi, I'm trying to derive a simple formula for 180° scattering. I've got to this stage and I really can't figure out how to simplify it further. \[ \frac{1}{\lambda}-\frac{1}{\lambda'} = \frac{2m_ec}{h} \] What I actually need is: \[ \lambda' - \lambda = \frac{2h}{m_ec} \] I'm...
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    Proving x^2-c^2*t^2 invariance

    Ok, I'l definitely keep that in mind! Thanks.
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    Proving x^2-c^2*t^2 invariance

    Thanks everyone! I didn't see that gamma could be taken out of the equation and cancelled. It works now :D
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    Proving x^2-c^2*t^2 invariance

    Ive tried the obvious replacing x and t with x' and t' but i still can't get it to drop out :(
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    Proving x^2-c^2*t^2 invariance

    How do you prove x2-c2t2 is invariant under the lorentz transformations given that;
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    How does a collapsing core become a black hole?

    Ok, that makes sense. Another simple question. Would a collapsing core become a neutron star first, or would it become a black hole in one fluid movement? Thanks for your help!
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    How does a collapsing core become a black hole?

    Oh, I read (on wikipedia and some books) that a shock wave causes the supernova, and that this shock wave is caused by the bounce back of matter. I guess you would get a lot of energy converted from gravitational potential as the core collapses?
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    How does a collapsing core become a black hole?

    Hi, I'm trying to understand how exactly a black hole fits into the evolution of red supergiants, especially in terms of a timeline. I understand that when the core of the star collapses, it reaches a point where the neutron pressure overcomes it's gravitational force and this deceleration...
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