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**1. Homework Statement**

I am to calculate the number of states in a 3Dcubic potential well with impenetrable walls that have energy less than or equal to E

**2. Homework Equations**

[tex]\ E_n=\frac{\hbar^2\pi^2}{\ 2 \ m \ a^2}\ (\ {n_x}^2 + \ {n_y}^2 + \ {n_z}^2)[/tex]

**3. The Attempt at a Solution**

We may denote [tex]\ (\ {n_x}^2 + \ {n_y}^2 + \ {n_z}^2)=\ n^2 [/tex]

and express n in terms of E_n

Then, we can evaluate the integral n(E')dE' for E'=0 to E'=E

I am not sure if this would give the correct answer.Can anyone please help?

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