QUESTION 13 The state of a harmonic oscillator is defined as w(x) = where p2(x) and o4(x) are two of its eigenfunctions satisfying the harmonic oscillator Schrödinger equation, 7 9,(x) = En@n(x)* (b) What is the expectation value for the harmonic oscillator Hamiltonian in this state, .? Kw\w> s w*(x) w(x) dx Report your answer in cm-1, with a harmonic frequency of w = 1089 cm-1.
QUESTION 13 The state of a harmonic oscillator is defined as w(x) = where p2(x) and o4(x) are two of its eigenfunctions satisfying the harmonic oscillator Schrödinger equation, 7 9,(x) = En@n(x)* (b) What is the expectation value for the harmonic oscillator Hamiltonian in this state, .? Kw\w> s w*(x) w(x) dx Report your answer in cm-1, with a harmonic frequency of w = 1089 cm-1.
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Transcribed Image Text:QUESTION 13
The state of a harmonic oscillator is defined as
w(x) =
where p2(x) and p4(x) are two of its eigenfunctions satisfying the harmonic oscillator Schrödinger equation,
* „(x) = Enºn(x)*
(b) What is the expectation value for the harmonic oscillator Hamiltonian in this state,
S w*(x) & y(x) dx
.?
<w\w>
I w*(x) w(x) dx
Report your answer in cm-1, with a harmonic frequency of w = 1089 cm-1.
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