Bound state eigenfunctions from wave packets: Time→energy resolution

We present a method to obtain bound‐state eigenfunctions in any arbitrary range of energies, by a Fourier resolution (from time to energy) of a real‐time wave packet. The resolution is done simultaneously at a number of energies within the sought range, and the resulting vectors yield, after diagonalization, all bound‐state eigenvalues and eigenfunctions within that range. The method is exemplified on a Morse potential: eigenfunctions for 18 high‐lying states (n∼200) are obtained from resolution at 25 energies.