Consider the one-particle, one-dimensional problem with V = V0(2 / ml2)x for 0 ( x ( l and V = ( elsewhere. Modify your solution to Prob. 8.60 to estimate the lowest four energy eigenvalues for V0 = 200 using the following numbers of particle-in-a-box basis functions: (a) 8; (b) 12. Note the appearance of the lowest four wave functions. Which particle-in-a-box states make substantial contributions to the ground state? to the first excited state?