p1 the wave function of a particle yx ae ax 2 1 the wave function x is normalized determine the value of a 2 find the expectation value x find the expectation value x2 useful integral 0 and 89099
p1 the wave function of a particle yx ae ax 2 1 the wave function x is norm…
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SOLVED:A particle is described by the normalized wave function ψ(x, y, z)=A e^-a(x^2 y^2 z^2), where A and αare real, positive con- stants. (a) Determine the probability of finding the particle at a distance between r and r d r from the origin. (Hint: See Problem 39.66 . Consider a spherical shell centered on the origin with inner radius r and thickness d r . ) (b) For what value of r does the probability in part (a) have its maximum value? Is this the same value of r for which |ψ(x, y, z)|^2 is
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