I probably misunderstood then. I figured the question " What is the state of the system after each measurement" meant measurement in the sense of "a change in the system" i.e. to find the ground state of ##H_0##, then its representation in the basis of ##H_1## and finally tacking on the time...
The initial state is the ground state of ##H_0##. It's formulated such that it's supposed to be a near instantaneous change from ##H_0## to ##H_1##, to reflect that it's a diabatic process I reckon they've chosen to use the same time parameter. It confused me a good bit too.
Yeah I that was...
Homework Statement
Consider an experiment on a system that can be described using two basis functions. We begin in the ground state of a Hamiltonian H0 at a time t1, then rapidly change the hamiltonian to H1 at the time t1. At a later time tD>t1 you preform a measurement of an observable D...