The potential energy of a harmonic oscillator is U = kx. Show that the expectation value (U) of U is EO / 2 when the oscillator is in the state n = 0. (In fact, this is true for all states of the harmonic oscillator.) What is the expected value of the kinetic energy of the oscillator? How do these results compare to the classical values of Ū and KE ?
The potential energy of a harmonic oscillator is U = kx. Show that the expectation value (U) of U is EO / 2 when the oscillator is in the state n = 0. (In fact, this is true for all states of the harmonic oscillator.) What is the expected value of the kinetic energy of the oscillator? How do these results compare to the classical values of Ū and KE ?
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Transcribed Image Text:The potential energy of a harmonic oscillator is U = kx. Show that the expectation value (U)
of U is E0 / 2 when the oscillator is in the state n = 0. (In fact, this is true for all states of the harmonic
ocillator.) What is the expected value of the kinetic energy of the oscillator? How do these results
compare to the classical values of
Ū and KE ?
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