The first excited state of the one-dimensional harmonic oscillator has eigenfunction y(x) = Næe-a²r²/2 Find N. Hint: SI∞ •+∞ OLE α ㅠ e (*)** -x²/0² dx 2q³ 1/2 2q³ 1/4 (²/²)* 2 (²) 1/2 = √2πо²

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The first excited state of the one-dimensional harmonic oscillator has
eigenfunction
y(x) = Næe-a²r²/2
Find N.
Hint: SI∞
•+∞
OLE
α
ㅠ
e
(*)**
2q³ 1/2
(²²)
-x²/0² dx
2q³
1/4
1/2
2
(²)
=
√2πо²
Transcribed Image Text:The first excited state of the one-dimensional harmonic oscillator has eigenfunction y(x) = Næe-a²r²/2 Find N. Hint: SI∞ •+∞ OLE α ㅠ e (*)** 2q³ 1/2 (²²) -x²/0² dx 2q³ 1/4 1/2 2 (²) = √2πо²
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