A particle is confined to a one-dimensional harmonic oscillator having infinitely high walls and is in its lowest quantum state. Calculate (x), (x³), (p), and (p?). Using the definition of the uncertainty Aq of a measurement is Heisenberg uncertainty principle upheld? Why or why not?

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5. A particle is confined to a one-dimensional harmonic oscillator having infinitely high walls and is in its lowest quantum state. Calculate ⟨x⟩, ⟨x²⟩, ⟨p⟩, and ⟨p²⟩. Using the definition of the uncertainty Δq of a measurement, is Heisenberg's uncertainty principle upheld? Why or why not?
Transcribed Image Text:5. A particle is confined to a one-dimensional harmonic oscillator having infinitely high walls and is in its lowest quantum state. Calculate ⟨x⟩, ⟨x²⟩, ⟨p⟩, and ⟨p²⟩. Using the definition of the uncertainty Δq of a measurement, is Heisenberg's uncertainty principle upheld? Why or why not?
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