On the first solution of a long standing problem: uniqueness of the   phaseless quantum inverse scattering problem in 3-d
  After publishing his recent paper in SIAM J. Appl. Math, 74, 392-410, 2014 the author has realized that actually he has addressed in that paper, for the first time, a long standing open question being unaware about this. This question is about the uniqueness of a 3-d inverse scattering problem without the phase information. Thus, it makes sense in the current paper to explicitly make the latter statement and to formulate corresponding uniqueness theorems. 
Michael V. Klibanov
math-ph math.MP