Consider a free particle moving in one dimension (a) write down the stationary schrödinger equation for the particle. (b) bearing in mind that the particle's energy must be positive, verify that the solution of the stationary schrödinger equation is of the form 6(x) = a sin(kx) + b cos(kx) and determine k in terms of eand m. (c) verify by substitution into the stationary schrödinger equation that (1) = cei + deika is also a solution, with the same k. determine c and d in terms of a and b.