A particle of mass m is in a harmonic oscillator potential with angular frequency o. It is in the state u(x) = (3u{n=1}(x) + 4u{n=3}(x))/5). a. Give the result of a single measurement of the energy. b. Give the expectation value of the energy.
A particle of mass m is in a harmonic oscillator potential with angular frequency o. It is in the state u(x) = (3u{n=1}(x) + 4u{n=3}(x))/5). a. Give the result of a single measurement of the energy. b. Give the expectation value of the energy.
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Transcribed Image Text:A particle of mass m is in a harmonic oscillator potential with angular
frequency o. It is in the state u(x) = (3u{n=1}(x) + 4u{n=3}(x))/5).
a. Give the result of a single measurement of the energy.
b. Give the expectation value of the energy.
c. Give the expectation value of the momentum.
d. Give the result of a single measurement of the momentum. Hint: Average energy
is shared equally between the kinetic and potential energy for a simple harmonic
oscillator.
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