User:Superdan006/Sandbox/eigenstate

$$ c_{n} = < \Psi(t) | \psi^n_a (\Delta E) > $$

$$ < \Psi(t) | $$ is found by solving the time dependent Schroedinger equation using NDSolve as the tilt between the two wells change. It is a function of time.

Now since the double well tilts in time, each moment in time for the Hamiltonian corresponds to a specific tilt. Using this, I then calculate $$ | \psi^n_a > $$ at each moment in time which is the nth asymmetric eigenfunction for the corresponding tilt. I called it instantaneous because it is time independent and is a function of the tilt instead.