Comments on the letter of P.Sabatier "An erroneous statement"

Details Comments on the letter of P.Sabatier "An erroneous statement" Comments on the letter of P.Sabatier "An erroneous statement"

2003-08-21

arxiv.org/abs/math-ph/0308025v1

Physics

Mathematical Physics

5pp

Scientific paper

In his letter Sabatier writes that my statement {\bf "The Newton-Sabatier (NS) method for inverting the fixed-energy phase shifts for a potential is fundamentally wrong"} is erroneous. In [2] my statement is proved. It is explained in [2] that the foundations of the NS method are wrong, and, in particular, that the basic integral equation of this method, in general is not uniquely solvable for some $r>0$, contrary to the implicit assumption of the NS method. If this equation is not uniquely solvable for some $r>0$, then the NS method breaks down: it produces a potential which is not locally integrable. Consequently, my conclusion was: {\it the NS theory as an inverse scattering theory is fundamentally wrong in the sense that its foundations are wrong}. This conclusion is fully justified in [2]. Additional comments on the Sabatier's letter are given.

Affiliated with

Also associated with

No associations

Rating

Comments on the letter of P.Sabatier "An erroneous statement" does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Comments on the letter of P.Sabatier "An erroneous statement", we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Comments on the letter of P.Sabatier "An erroneous statement" will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-541933