For a Quantum Harmonic Oscillator, the wavefunction of the groundstate can be written: where a = Question 7: What is the uncertainty in energy, AE, for a particle in this state? 1/2 a) ΔΕ 2mw 2h b) ΔΕ- ar - )" 14 c) ΔΕ 2mw d) ΔΕ0. Question 8: What is the expectation value for the kinetic energy, (T), of a particle in this state? a) (T) = 0. hw b) (T) = 7 hw c) (T) =7 hw d) (T) =
For a Quantum Harmonic Oscillator, the wavefunction of the groundstate can be written: where a = Question 7: What is the uncertainty in energy, AE, for a particle in this state? 1/2 a) ΔΕ 2mw 2h b) ΔΕ- ar - )" 14 c) ΔΕ 2mw d) ΔΕ0. Question 8: What is the expectation value for the kinetic energy, (T), of a particle in this state? a) (T) = 0. hw b) (T) = 7 hw c) (T) =7 hw d) (T) =
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Transcribed Image Text:For a Quantum Harmonic Oscillator, the wavefunction of the groundstate can be written:
1/4
Vo = (÷)".
where a =
Question 7:
What is the uncertainty in energy, AE, for a particle in this state?
1/2
a)
AE =
2mw
2h) 4
b) ΔΕ=
1/4
c) AE =
2mw
d) ΔΕ0.
Question 8:
What is the expectation value for the kinetic energy, (T), of a particle in this state?
a) (T) = 0.
hw
b) (T) =
2
c) (T) =
hw
4
) (T) =
d)
Hint: you may take the kinetic energy operator to be given by T = ²/2m, and use any of the
following: e-" dr = V re-"dr = 0, and redr = V3.
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