- #1

kraigandrews

- 108

- 0

## Homework Statement

Consider a three dimensional rectangular infinite potential well with sides of length L, 2L and 3L.

What is the energy of the first excited state relative to the energy of the ground state?

The second state?

The third?

The fourth?

## Homework Equations

E=([itex]\pi[/itex]

^{2}[itex]\hbar[/itex]

^{2})/(2mL

^{2})(n_1

^{2}/L_1

^{2}+n_2

^{2}/L_2

^{2}+n_3

^{2}/L_3

^{3})

## The Attempt at a Solution

so E_grounds state= ([itex]\pi[/itex]

^{2}[itex]\hbar[/itex]

^{2})/(2mL

^{2})(1/L1

^{2}+(1/4L2

^{2})+(1/9L3

^{2})) then E_1 would be the same thing except n1,n2,n3 are 2 instead of one. however this doesn't yeild the right answer. So I am not sure what I am doing wrong here, my best idea is that n1, n2,n3 are not all 1 for E_ground and E_1 .