Aparticle of mass m is confined to a box with infinite walls at x = 0 and x = l. at time t = 0 the particle is in the state \(x) = sin (") + sin (27"). [5] (a) normalise the state y(x). (b) find the location inside the box where the particle is forbidden to exist. [5] (c) what is the shortest time after which the probability density p(x, t) = 4(x, t)/2 returns to its value at time t = 0?