The particle-in-a-box time-independent Schrdinger equation contains the constants h and m, and the boundary conditions involve the

The particle-in-a-box time-independent Schrödinger equation contains the constants h and m, and the boundary conditions involve the box length l. We therefore expect the stationary- state energies to be a function of h, m, and l; that is, E = f(h, m, l). [We found E = (n2/8) (h2/ml2).] Prove that the only values of a, b, and c that give the product hamblc the dimensions of energy are a = 2, b = -1, c = -2.