Ag. Ramm, COMPACTLY SUPPORTED SPHERICALLY SYMMETRICAL POTENTIALS ARE UNIQUELY DETERMINED BY THE PHASE-SHIFT OF THE S-WAVE, Physics letters. A, 242(4-5), 1998, pp. 215-219
It is proved that a compactly supported (or decaying faster than any e
xponential) spherically symmetric potential is uniquely determined by
the phase shift delta(k) known fur all k is an element of (a, b), 0 le
ss than or equal to a < b < infinity. Here the phase shift delta(k) co
rresponds to the s-wave. No information about bound state energies and
normalizing constants is assumed known. (C) 1998 Elsevier Science B.V
.