Homework Statement
What is the average <x> for following probability densities
P(x) = A[a^{4}+(x-x_{0})^{4})]^{-1}
Homework Equations
The Attempt at a Solution
dont know how to start
Homework Statement
\int^{\infty}_{-\infty}(1/(a^{4}+(x-x_{0})^{4}))dx
Homework Equations
The Attempt at a Solution
i let u = (x-x_{0})^{4}
but have no idea what to go from there
If i already know the wave function then measure an observable what is the new wave function?
Is it just the eigenfunction of the observable corresponding to the measured value?
And does it stay in this state until something interacts with it?