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10. A particle is represented (at time t = 0) by the wave function
¥(x,0) = {4(a² ¯
0,
JA(a²-x²), if- a ≤x≤+a
otherwise
(a) Determine the normalization constant A.
(b) What is the expectation value of x (at time t = 0)?
d<x>
(c) What is the expectation value of p (at time t = 0)? (Note that you cannot get it from p = m² .Why
dt
not?)
(d) Find the expectation value of x².
(e) Find the expectation value of p².

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