aw(x, t) i(kx ot) satisfies ih Show directly that the trial wave function W(x, t) = e at The derivatives are (Use the following as necessary: W, k, and co.) aw at and a2w 2 ax h 2 a2W(x, t) + VW(x, t). 2 2m ax Substituting in the time-dependent Schrdinger equation gives (Use the following as necessary: W, p and m.) how = The result is where K is the kinetic energy, which is a statement of conservation of mechanical energy.