In the equation for the timedependent wave function {IL/17, t) : W(x)e*m : Aemiwl | Be*i(k$+ml keep both terms, putting A = B = \\110. The equation then describes the superposition of two matter waves of equal amplitude, traveling in opposite directions. (Recall that this is the condition for a standing wave.) (a) Find |\\Il(a:,t)l2. Mast)? = l (b) Find the positions of the nodes of this standing wave in terms of A, the de Broglie wavelength of the particle. 96: (c) Find a similar expression for the most probable locations of the particle