Problem 1.17 A particle is represented (at time=0) by the wave function A(a²-x²). if-a ≤x≤+a. 0, otherwise. 4(x, 0) = [ (a) Determine the normalization constant A. (b) What is the expectation value of x (at time t = 0)? (c) What is the expectation value of p (at time t = 0)? (Note that you cannot get it from p = md(x)/dt. Why not?) (d) Find the expectation value of x². (e) Find the expectation value of p².
Problem 1.17 A particle is represented (at time=0) by the wave function A(a²-x²). if-a ≤x≤+a. 0, otherwise. 4(x, 0) = [ (a) Determine the normalization constant A. (b) What is the expectation value of x (at time t = 0)? (c) What is the expectation value of p (at time t = 0)? (Note that you cannot get it from p = md(x)/dt. Why not?) (d) Find the expectation value of x². (e) Find the expectation value of p².
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