# Evolution of uniformly accelerated system

1. Mar 20, 2010

### paweld

Consider system with Hamiltonian H. If this system is attached to inertial observer its
evolution is described by unitary operator: $$U_t = \exp(t H)$$ where t is time
measured by inertial observer. What if the observer accelerates (with constant
acceleration in its comoving frame). Is it stil true that $$U_\tau = \exp(\tau H)$$
wher $$\tau$$ is time measured by accelerating observer (the length of its
world line). Is hamiltonian idependent of type of observer whom we attache the system to?