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What Determines the Values of Legendre Polynomials at Zero?
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...- watisphysics
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- Binomial theorem Legendre Legendre polynomials Polynomial Zero
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- Forum: Calculus and Beyond Homework Help
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Compton Scattering; Relation between scattering angles
Thank you!- watisphysics
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- Forum: Introductory Physics Homework Help
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Compton Scattering; Relation between scattering angles
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...- watisphysics
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- Angles Compton scattering Electron Momentum conservation Photon Relation Scattering Wavelength
- Replies: 2
- Forum: Introductory Physics Homework Help