# Homogeneous gravity field time evolution position and momentum operato

1. May 15, 2014

### VVS

1. The problem statement, all variables and given/known data
I am trying to solve Problem 21 from this sheet:
View attachment T2SS14-Ex7.pdf

2. Relevant equations
The equation describing the time evolution of operators is given in the problem.

3. The attempt at a solution
I have found the commutators of the position and momentum operator with the Hamiltonian.
View attachment Übung 21_3.pdf
I don't know how to do the rest of the exercise.

2. May 17, 2014

### Simon Bridge

(a) See equation (5) relating the commutator to the time evolution to get $\hat X(t)$ and $\hat P(t)$
(b) follows from there.