# Find the energy of oscillator

1. Feb 26, 2008

### szamito

[SOLVED] Find the energy of oscillator

1. The problem statement, all variables and given/known data
The Probability density for the states of a harmonic oscillator is shown in the figure. Find the energy of the oscillator in this state if the ground state energy is 2 [eV].

2. Relevant equations
E_n=(n^2)*E_1

3. The attempt at a solution
n=5 then E_5=5^2*2 eV=50 eV

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• ###### pic1.png
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Last edited: Feb 26, 2008
2. Feb 26, 2008

### monish

This looks wrong to me. The spacing of the energy levels of the harmonic oscillator doesn't go as n-squared, rather it goes as n. I think. Also, the sketch as shown appears to me to be the 9th level, not the 5th. (Try drawing out the first three or four levels to see how it goes.) So I would put this state at 18 eV.