Solved: A particle is described by the normalized wave

Chapter 41, Problem 41.46

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A particle is described by the normalized wave function c1x, y, z2 = Axe-ax2 e-by2 e-gz 2 , where A, a, b, and g are all real, positive constants. The probability that the particle will be found in the infinitesimal volume dx dy dz centered at the point 1x0, y0, z02 is 0 c1x0, y0, z02 0 2 dx dy dz. (a) At what value of x0 is the particle most likely to be found? (b) Are there values of x0 for which the probability of the particle being found is zero? If so, at what x0?

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