Consider the first excited state of the quantum harmonic oscillator (v = 1) and the wavefunction ₁(x), with a = 0.1 m, (a nonphysical but convenient value). a) Show that ₁(x) is normalized.

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2
X
гаг
Yv = №v • Hv ( =) = e za
Nu
е
a
↓
2
( ave²² 2v₁) ² ² 1₁ = 2(=)
112
a
а
Transcribed Image Text:2 X гаг Yv = №v • Hv ( =) = e za Nu е a ↓ 2 ( ave²² 2v₁) ² ² 1₁ = 2(=) 112 a а
Consider the first excited state of the quantum harmonic oscillator (v = 1) and the
wavefunction P₁(x), with a = 0.1 m, (a nonphysical but convenient value).
a) Show that ₁(x) is normalized.
Transcribed Image Text:Consider the first excited state of the quantum harmonic oscillator (v = 1) and the wavefunction P₁(x), with a = 0.1 m, (a nonphysical but convenient value). a) Show that ₁(x) is normalized.
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