Engineering and Applied Sciences Applied Physics 216 Lecture 8: Lecture 8
21 Feb 2017
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Document Summary
Ap 216 lecture 8 eigenfunctions and eigenvalues in electromagnetism spherical. Last lecture showed how the eigenfunctions of certain operators, like 2 x2, 2 y2, Eigenfunctions of important symmetry operations are also extremely useful. Eigenfunctions for translations and their bcs play an important role in solving the pe equation. T a moves values of f along x axis by a. a that transforms f(x,y,z) to a new function g(x,y,z) = f(x-a,y,z). Break up t a into n pieces (n ) 30 p x is called the generator of translations along the x direction. Later we will see that the i will make p an hermitian operator. Eigenfunctions of p x with eigen value p i x f p f e f i xp are also eigenfunctions of t a at f iap e f. So following the argument we used in translations. L z f x e zl x p.
