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ardvarkbumphead
 Post subject: Compton Effect
PostPosted: Thu, 10 Sep 2009 19:52:02 UTC 
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Hi all

Why is the electron, which the gamma ray hits, assumed to be stationary?

I thought electrons where moving in the atom?

Any ideas?????
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outermeasure
 Post subject: Re: Compton Effect
PostPosted: Fri, 11 Sep 2009 00:54:09 UTC 
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ardvarkbumphead wrote:
Hi all

Why is the electron, which the gamma ray hits, assumed to be stationary?

I thought electrons where moving in the atom?

Any ideas?????


No, there is no need to assume the electron is stationary.

_________________
\begin{aligned} Spin(1)&=O(1)=\mathbb{Z}/2&\quad&\text{and}\\ Spin(2)&=U(1)=SO(2)&&\text{are obvious}\\ Spin(3)&=Sp(1)=SU(2)&&\text{by }q\mapsto(\mathop{\mathrm{Im}}\mathbb{H}\ni p\mapsto qp\bar{q})\\ Spin(4)&=Sp(1)\times Sp(1)&&\text{by }(q_1,q_2)\mapsto(\mathbb{H}\ni p\mapsto q_1p\bar{q_2})\\ Spin(5)&=Sp(2)&&\text{by }\mathbb{HP}^1\cong S^4_{round}\hookrightarrow\mathbb{R}^5\\ Spin(6)&=SU(4)&&\text{by the irrep }\Lambda_+\mathbb{C}^4 \end{aligned}
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