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How do you derive the total energy of 3D particle in a box model as a sum of three 1D particle in a box equation

How do you derive the total energy of 3D particle in a box model as a sum of three 1D particle in a box equation (Ex + Ey + Ez) from the equation: (-h^2/2m)(d^2psi/dx^2 + 3^2psi/dy^2 + d^2psi/dz^2) Known values are psi = psix + psiy + psiz

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