In the equation for the time-dependent wave function (x,t) = 4(x)eiwt = Aei(kx-wt) Aei(kx-wt) + Be-i(kx+wt)...

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In the equation for the time-dependent wave function (x,t) = 4(x)eiwt = Aei(kx-wt) Aei(kx-wt) + Be-i(kx+wt) keep both terms, putting A = B = Vo. 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 (x,t)|. |(x,t)| = (b) Find the positions of the nodes of this standing wave in terms of X, the de Broglie wavelength of the particle. x = (c) Find a similar expression for the most probable locations of the particle. x = ? 57 In the equation for the time-dependent wave function (x,t) = 4(x)eiwt = Aei(kx-wt) Aei(kx-wt) + Be-i(kx+wt) keep both terms, putting A = B = Vo. 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 (x,t)|. |(x,t)| = (b) Find the positions of the nodes of this standing wave in terms of X, the de Broglie wavelength of the particle. x = (c) Find a similar expression for the most probable locations of the particle. x = ? 57