Quantum Mechanics Measurement and Correlation
1. The problem statement, all variables and given/known data
Let Q^(1) be the position of some object that we wish to measure, and let Q^(2) and P^(2) be the position and momentum of the indicator variable of a measurement apparatus. Show that an interaction of the form H_int = cQ^(1)P^(2)(dirac delta(t)) will induce a correlation between the values of Q^(1) and Q(2) such that the value of Q^(2) provides a measurement of the value that Q^(1) had at time t = 0.
2. Relevant equations
3. The attempt at a solution