Avodyne you made my day. I understand and love this answer
Ok, now here is the next question. How do I find this correlation between successive measurements that you are talking about?
@LostConjugate
I am looking for the probability dstribution of m dX/dt which is of course a quantum mechanical object.
Edit: though it represents a classical definition of momentum
@Jitbell
I looked at that, but what I want is the distribution of m dX/dt the classical momentum instead of the quantum mechanical description of it.
@LostConjugate
I am looking for the entire probability distribution? Is there a way to find that?
Maybe I should elaborate on my purpose. I would like to see whether there is any connection at all between the classical notion of momentum and the quantity derived using the momentum operator
Suppose I solve the Schrodinger wave equation described in terms of position (as opposed to momentum based description), it gives me the wave function from which I can determine the probability distribution function (pdf) for position with a parameter as time.
I view it as the following, the...