I am taking a course on Quantum Mechanics and last class we saw the coherent states of the harmonic oscillator, namely states $ | \lambda \rangle $ such that $$ a | \lambda \rangle = \lambda | \lambda \rangle $$ and we saw how they represent the classical situation when $ \lambda \to \infty $.
The professor also told us that there are coherent states for the hydrogen atom as well, and that these represent (in some limit I guess) states in which the electron describes classical orbits around the nucleus (circles and ellipses).
Now I am wondering: does all quantum systems give rise to some "coherent states" that can be interpreted as the classical situation? Or these two examples belong to some special type of systems that can be interpreted in classical ways?
For example I cannot think of a coherent state for a Stern-Gerlach experiment...