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ehild

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The expectation value of x^2 can be calculated if you know the probability density function of x. If it is f(x)CollectiveRocker said:

[tex]<x^2>=\int_0^L{x^2f(x)dx}[/tex]

For a classical particle f(x) = 1/L as it has equal probability of being anywhere in the box.

If it is a quantum particle, find out how the wavefunction of that particle, trapped in a box extending from x=0 to x=L, looks like. The probability density function is the square of the absolute value of the wavefunction.

[tex]f(x)= \phi \phi^* \rightarrow <x^2>=\int_0^L{x^2\phi \phi^*dx}[/tex]

ehild

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