3. The first excited state of the harmonic oscillator is given by the one-dimension wave function ₁(x) = (4a³/π)¹/4 xe-ªx²/2. (a) Find the average value of the kinetic energy (K) for this wave function. (b) How does (K) compare to the total average energy (E) for ₁? Show all math.

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om CourseHero.com on 03
3.
The first excited state of the harmonic oscillator is given by the one-dimension wave
function ₁(x) = (4x³/π)¹/4 x e-ax²/2. (a) Find the average value of the kinetic energy (K) for this
wave function. (b) How does (K) compare to the total average energy (E) for ₁? Show all math.
Transcribed Image Text:om CourseHero.com on 03 3. The first excited state of the harmonic oscillator is given by the one-dimension wave function ₁(x) = (4x³/π)¹/4 x e-ax²/2. (a) Find the average value of the kinetic energy (K) for this wave function. (b) How does (K) compare to the total average energy (E) for ₁? Show all math.
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