Homework Statement
Using the Generating function for Legendre polynomials, show that:
##P_n(0)=\begin{cases}0 & n \ is \ odd\\\frac{(-1)^n (2n)!}{2^{2n} (n!)^2} & n \ is \ even\end{cases}##
Homework Equations
Generating function: ##(1-2xt+t^2)^{-1/2}=\displaystyle\sum\limits_{n=0}^\infty...
Homework Statement
Show that the scatter angles of the photon (θ) and electron (Φ) in the Compton effect are related by
the relation:
##cot (θ/2 )=(1+\frac{hf}{mοC^2}) tan(Φ)
##
Where f is the frequency of incident photon
2. The attempt at a solution
I wrote down the equations of conservation...