Inverse Scattering for a Schr�dinger Operator with a Repulsive Potential

Nicoleau, Fran�ois
September 2006
Acta Mathematica Sinica;Sep2006, Vol. 22 Issue 5, p1485
Academic Journal
We consider a pair of Hamiltonians ( H, H 0) on L 2(R n ), where H 0 = p 2- x 2 is a Schr�dinger operator with a repulsive potential, and H = H 0+ V ( x). We show that, under suitable assumptions on the decay of the electric potential, V is uniquely determined by the high energy limit of the scattering operator.


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