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.