1. Explain which of the following could be eigenfunctions of the harmonic oscillator: a) (ax+bx +c)e * b) (ax' +bx +cx +d)e c) (ax? +b)e* 2. Write the form of the wave function of the 5" excited state of the harmonic oscillator. 3. Sketch 1(x) and w,(x).

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a) (ax+bx +c)e*
1. Explain which of the following could be eigenfunctions of the harmonic oscillator:
b) (ar +bx+x+d)e
c) (ar +b)e
2. Write the form of the wave function of the 5h excited state of the harmonic oscillator.
3. Sketch y(x) and y,(x).
Transcribed Image Text:a) (ax+bx +c)e* 1. Explain which of the following could be eigenfunctions of the harmonic oscillator: b) (ar +bx+x+d)e c) (ar +b)e 2. Write the form of the wave function of the 5h excited state of the harmonic oscillator. 3. Sketch y(x) and y,(x).
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