Given H=p^2/2 - 1/(2q^2)
How to show that there is a constant of motion for this one dimensional system D=pq/2 - Ht ?
I tried doing it in my usual way i.e. p'=-∂H/∂q and q'=∂H/∂p and then finding the constants of motion but that doesn't match with what I have to show.
Please guide me as...