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I am missing something.

The question is to find the 6 lowest energy states of a particle of mass m in a box with edge lengths of [tex]L_{1}=L[/tex], [tex]L_{2}=2L[/tex], [tex]L_{3}=2L[/tex].

The answer gives [tex] E_{0}=\frac{\pi^2\hbar^2}{8mL^2}[/tex].

I would have said [tex] E_{0}=\frac{3\pi^2\hbar^2}{4mL^2}[/tex] .

What am I missing?

(the answer given for the actual question is 6, 9, 9, 12, 14, 14)

The question is to find the 6 lowest energy states of a particle of mass m in a box with edge lengths of [tex]L_{1}=L[/tex], [tex]L_{2}=2L[/tex], [tex]L_{3}=2L[/tex].

The answer gives [tex] E_{0}=\frac{\pi^2\hbar^2}{8mL^2}[/tex].

I would have said [tex] E_{0}=\frac{3\pi^2\hbar^2}{4mL^2}[/tex] .

What am I missing?

(the answer given for the actual question is 6, 9, 9, 12, 14, 14)

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