According to quantum mechanics, the x- and y-coordinates of a particle confined to the
Chapter 15, Problem 55(choose chapter or problem)
According to quantum mechanics, the x- and y-coordinates of a particle confined to the region R = [0, 1][0, 1] are random variables with joint probability density function p(x, y) = " C sin2(2x)sin2(2ny) if (x, y) R 0 otherwise The integers and n determine the energy of the particle, and C is a constant. (a) Find the constant C. (b) Calculate the probability that a particle with = 2, n = 3 lies in the region 0, 1 4 0, 1 8 .
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