### First-order Correction in Ground State of Particle

Calculate the first-order correction to the ground-state energy of a particle in a three dimensional box with the perturbation: H^1 = V in the range a/4 < x < 3a/4, b/4 < y < 3b/4 , c/4 < z < 3c/4 where H^1=0 otherwise V=hv (See attached file for full problem description)