Question: For a particle in a three-dimensional box with sides of length a, b, c, write down the variation function that is the three-dimensional extension of

For a particle in a three-dimensional box with sides of length a, b, c, write down the variation function that is the three-dimensional extension of the variation function ( = x(l - x) used in Section 8.1 for the particle in a one-dimensional box. Use the integrals in Eqs. (8.12) and (8.13) to evaluate the variational integral for the three-dimensional case. Find the percent error in the ground-state energy.

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