Solved: The classical probability distribution function

Chapter , Problem 31

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The classical probability distribution function for a particle in an infinite one-dimensional well of length is (See Example 34-5.) (a) Show that the classical expectation value of for a particle in an infinite one-dimensional well of length that is centered at the origin is (b) Find the quantum expectation value of for the nth state of a particle in the one-dimensional box and show that it approaches the classical limit as approaches infinity.

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