- P2 and @4, are orthonormal

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QUESTION 12
The state of a harmonic oscillator is defined as
y(x) =
where p2(x) and p4(x) are two of its eigenfunctions satisfying the harmonic oscillator Schrödinger equation,
7 o,(x) = Enºn(x)*
(a) What is the value of (wlw> = [ _w*(x) w(x) dx?
Assume that the harmonic oscillator eigenstates, p2 and P4, are orthonormal to one another.
Transcribed Image Text:QUESTION 12 The state of a harmonic oscillator is defined as y(x) = where p2(x) and p4(x) are two of its eigenfunctions satisfying the harmonic oscillator Schrödinger equation, 7 o,(x) = Enºn(x)* (a) What is the value of (wlw> = [ _w*(x) w(x) dx? Assume that the harmonic oscillator eigenstates, p2 and P4, are orthonormal to one another.
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