1303.5594 (Valery Serov et al.)

Scattering solutions and Born approximation for the magnetic
Schrödinger operator    [PDF]

Valery Serov, Jan Sandhu

We prove the existence of scattering solutions for multidimensional magnetic Schr\"odinger equation which belong to the weighted Sobolev space H^1_s (R^n)(n=2,3) with some s < -1/2. As a consequence of this we formulate the direct Born approximation for the magnetic Schr\"odinger operator. Possible connections with inverse problems (inverse scattering Born approximation) are discussed.

View original: http://arxiv.org/abs/1303.5594