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.
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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Question
![2
X
гаг
Yv = №v • Hv ( =) = e za
Nu
е
a
↓
2
( ave²² 2v₁) ² ² 1₁ = 2(=)
112
a
а](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ee67c44-0754-41fd-9006-bdc882dbaccb%2F363be14f-d1eb-4290-963d-d5d167ea17a6%2Fl8x5uij_processed.jpeg&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ee67c44-0754-41fd-9006-bdc882dbaccb%2F363be14f-d1eb-4290-963d-d5d167ea17a6%2Fkukh65_processed.jpeg&w=3840&q=75)
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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