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Ilikechiken
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[no template, as this post was moved from here from the Quantum Mechanics forum]
In griffiths 2nd quantum mechnics,
problem : Suppose I drop a rock off a cliff of height h. As if falls, I snap a million photographs, at random intervals. On each picture I measure the distance the rock has fallen.
Question : What is the average of all these distances? That is to say, what is the time average of the distance traveled?
I know p(x) is 1/2(hX)^(1/2) and can solve the problem like : Integral(from 0 to h)x dx/2(hX)^(1/2)
other method is : Integral(from 0 to T) x dt/T
but I don't know how it's possible. that means p(t) = 1/T .. but T is constant{ (2h/g)^1/2}
and I don't know meaning of dt/T
In griffiths 2nd quantum mechnics,
problem : Suppose I drop a rock off a cliff of height h. As if falls, I snap a million photographs, at random intervals. On each picture I measure the distance the rock has fallen.
Question : What is the average of all these distances? That is to say, what is the time average of the distance traveled?
I know p(x) is 1/2(hX)^(1/2) and can solve the problem like : Integral(from 0 to h)x dx/2(hX)^(1/2)
other method is : Integral(from 0 to T) x dt/T
but I don't know how it's possible. that means p(t) = 1/T .. but T is constant{ (2h/g)^1/2}
and I don't know meaning of dt/T
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