Using the eigenvectors of the quantum harmonic oscillator, i.e., |n >, find the matrix element < 11|P|10 >,where P is the momentum operator. 11mwħ 9mwh 2 O iv5mwħ O iv6mwħ о

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Using the eigenvectors of the quantum harmonic oscillator, i.e., n >, find the matrix element < 11|P|10 >,where Pis the momentum operator.
11mwh
2
9mwh
2
iv5mwh
iv6mwh
Transcribed Image Text:Using the eigenvectors of the quantum harmonic oscillator, i.e., n >, find the matrix element < 11|P|10 >,where Pis the momentum operator. 11mwh 2 9mwh 2 iv5mwh iv6mwh
Expert Solution
Step 1

Given,

Maxtrix element of momentum operator for harmonic quantum oscillator

Step 2

We know that 

<n'P^n>=imhw2-nδn',n-1+n+1δn',n+1

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