(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A rectangular corral of widths Lx = L and Ly = 1.94L contains seven electrons. What multiple of h2/8mL2 gives the energy of the ground state of this system? Assume that the electrons do not interact with one another, and do not neglect spin.

2. Relevant equations

Enx,ny = h^2/(8mL^2) (nx^2 + ny^2)

3. The attempt at a solution

used (nx/Lx)^2 + (ny/Ly)^2 to solve for the energy states resulting in

ground state: 1.266

1st excited: 2.063 (or 2.266?)

2nd excited: 5.063

I feel this approach is incorrect because the 1st excited state could have two possible energy states...

obviously, after finding the states, I multiplied 2 electrons by ground, 4 by 1st, and 1 by second, but the sum jumps around the answer instead of giving me a correct answer.

I'm new to the forum posting, but you guys are always a big help for me so thanks for any input ahead of time.

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# Quantum Physics help/Electron trap problem

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