A harmonic oscillator is prepared in a state given by 2 1/3/53 01 0(0) + / 390,0 (x) y(x) = - 'n where 92(x) and 44(x) are two of its eigenfunctions satisfying the harmonic oscillator Schrödinger equation, ö_(x) =E_¶_(x), and y(x) is normalized. What is the expectation value for the energy of the harmonic oscillator in this state, Report your answer in cm-1, using a harmonic frequency of = 1320 cm-1 (sometimes written w). e
A harmonic oscillator is prepared in a state given by 2 1/3/53 01 0(0) + / 390,0 (x) y(x) = - 'n where 92(x) and 44(x) are two of its eigenfunctions satisfying the harmonic oscillator Schrödinger equation, ö_(x) =E_¶_(x), and y(x) is normalized. What is the expectation value for the energy of the harmonic oscillator in this state, Report your answer in cm-1, using a harmonic frequency of = 1320 cm-1 (sometimes written w). e
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Transcribed Image Text:A harmonic oscillator is prepared in a state given by
2
1
√5
where 2(x) and 44(x) are two of its eigenfunctions satisfying the harmonic oscillator Schrödinger equation, Hq (x) =E_q (x), and y(x) is
normalized. What is the expectation value for the energy of the harmonic oscillator in this state,
n
n n
Report your answer in cm-1, using a harmonic frequency of = 1320 cm-1 (sometimes written w).
e
y(x)
=
4₂(x) +
2
9₁(x)
4
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