Question: (a) Construct 2 (x). (b) Sketch 0 , 1 , and 2 . (c) Check the orthogonality of 0 ,

(a) Construct Ψ₂ (x).
(b) Sketch Ψ₀, Ψ₁, and Ψ₂.
(c) Check the orthogonality of Ψ₀, Ψ₁ and Ψ₂, by explicit integration. If you exploit the even-ness and odd-ness of the functions, there is really only one integral left to do.

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a Using Eqs 248 and 260 b c Since 0 and 2 are even whereas 1 is odd 0 1 dx and 2 1 dx vani... View full answer

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