A quantum particle has the following wavefunction 4 8 9 &₁(x)e~i(1.8 [eV])t/h +. 42(x)e-i(2.7 [eV])t/h + A3½3(x)e¬i(3.6[eV])t/ħ where A3 is a complex number and 1, 2, 3 are normalized energy eigenfunctions cor- responding to the ground state, first excited state and second excited state, respectively. What is the particle's energy expectation value and uncertainty? V(x, 0) = -1

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A quantum particle has the following wavefunction
8
(x, 0) |=-i-v/₁(x)e-i(1.8 [eV])t/ħ +
9
4
57/₂ (x) e-
e—i(2.7 [eV])t/ħ
+ A33(x)e-i(3.6 [eV])t/ħ
where A3 is a complex number and ₁, 2, 3 are normalized energy eigenfunctions cor-
responding to the ground state, first excited state and second excited state, respectively.
What is the particle's energy expectation value and uncertainty?
Transcribed Image Text:A quantum particle has the following wavefunction 8 (x, 0) |=-i-v/₁(x)e-i(1.8 [eV])t/ħ + 9 4 57/₂ (x) e- e—i(2.7 [eV])t/ħ + A33(x)e-i(3.6 [eV])t/ħ where A3 is a complex number and ₁, 2, 3 are normalized energy eigenfunctions cor- responding to the ground state, first excited state and second excited state, respectively. What is the particle's energy expectation value and uncertainty?
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