PS Experimenting with m functions
I agree with Horst in Section 3 of UFT434 that a rich spectral structure emerges by experimenting with m functions. The same structure must appear from both sides of the time dependent Schroedinger equation, so this fact produces useful constraint equations. When m(r) = 1 we get E = h bar omega = <H>. The left hand side of the time dependent Schroedinger equation gives h bar omega, the right hand side gives E = <H>. For any finite m(r) we have more than one h bar omega, and more spectral structure.