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(a) Show that the function =xe -ax2 is an eigenfunction of the operator (d 2 /dx 2 )4a 2 x 2 . What is the

(a) Show that the function =xe-ax2 is an eigenfunction of the operator (d2/dx2)4a2x2. What is the eigenvalue? (b) Show that the function =Ker/k is an eigenfunction of the operator d/dr. What is the eigenvalue?

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