A. Ramani et al., QUANTUM HAMILTONIANS FROM LEVEL STATISTICS VIA DRESSING TRANSFORMATIONS, Mathematics and computers in simulation, 37(4-5), 1994, pp. 451-459
We use the dressing transformation in order to reconstruct one-dimensi
onal Hamiltonians starting from their spectra. Whenever the given spec
trum departs from oscillator-like local behaviour the resulting potent
ial is fractal. An estimate of this fractal dimension is presented.