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Consider a harmonic oscillator in the quantum state
4(x, 0) = A(41(x) + 42 (x))
where:
Vn(x)
→ energy eigenfunction
En → energy eigenvalue
a) Determine |4'(x, t)|2 and simplify in terms of |ln(x)[².
b) Determine the normalization constant A.
c) What values will you get in multiples of hw and in what probabilities if
the energy is measured at t=0?
d) Determine the mean position < x >.

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