A quantum particle has the following wavefunction: 2 E(r)e¬i(1.8[eV])t/h 1 ¥(x,0) 2(x)e¬i(2.5[eV])t/h + A3v3(x)e¬i(3.2 [eV])t/h V3 where Az is a complex number and y1, y2, y3 are normalized energy eigenfunctions corresponding 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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III.
A quantum particle has the following wavefunction:
1
¥ (x, 0) :
vi (1)e-i(1.8 [eV])t/R_+2(x)e¬i(2.5 [eV])t/h + A3ý3(æ)e¬i(3.2 (eV])}t/h
= -i
%3D
V3
where A3 is a complex number and y1, y2, Y3 are normalized energy eigenfunctions
corresponding 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:III. A quantum particle has the following wavefunction: 1 ¥ (x, 0) : vi (1)e-i(1.8 [eV])t/R_+2(x)e¬i(2.5 [eV])t/h + A3ý3(æ)e¬i(3.2 (eV])}t/h = -i %3D V3 where A3 is a complex number and y1, y2, Y3 are normalized energy eigenfunctions corresponding 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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