Consider the normalized wave function, 1 1 (x) = c₁4₁(x) +42₂(x)+ ₂(x), 1 1 √8 √√2 3 where ₁(x), ₂(x), and u̟²(x) are the A normalized eigenfunctions of H. a) Solve for C₁. b) Calculate (E) in terms of E₁, E2, and E3. c) If we measure the energy of a single system, what is the probability that it will be E₁?
Consider the normalized wave function, 1 1 (x) = c₁4₁(x) +42₂(x)+ ₂(x), 1 1 √8 √√2 3 where ₁(x), ₂(x), and u̟²(x) are the A normalized eigenfunctions of H. a) Solve for C₁. b) Calculate (E) in terms of E₁, E2, and E3. c) If we measure the energy of a single system, what is the probability that it will be E₁?
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Transcribed Image Text:Consider the normalized wave
function,
$(x)= c₁4₁(x) + 4₂(x) + √243(x),
1
1
2
૩(૩),
1
√8
where u̟₁(x), ₂(x), and u̟²(x) are the
normalized eigenfunctions of H.
a) Solve for C₁.
b) Calculate (E) in terms of E₁, E2, and E3.
c) If we measure the energy of a single system,
what is the probability that it will be E₁?
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