3. Please prove for the harmonic ospillator, (u)-0.(given Hn(u) = (-1)"eu² dn are property of Ha)

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3. Please prove for the harmonic oscillator, (u)-0.(given
Hn(u) = (-1)"eu².
are use property of Hau)
d'n
e-u²
Transcribed Image Text:3. Please prove for the harmonic oscillator, (u)-0.(given Hn(u) = (-1)"eu². are use property of Hau) d'n e-u²
Expert Solution
Step 1

To prove :

The expectation value of the position in the harmonic oscillator is u=0

Given:

The Hermite polynomial formula is given as 

Hnu = -1n eu2 dndune-u2

 

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