Scattering by magnetic fields
Scattering by magnetic fields
Consider the scattering amplitude $s(\omega ,\omega ^\prime ;\lambda )$, $\omega ,\omega ^\prime \in {\mathbb S}^{d-1}$, $\lambda > 0$, corresponding to an arbitrary short-range magnetic field $B(x)$, $x\in {\mathbb R}^d$. This is a smooth function of $\omega$ and $\omega ^\prime$ away from the diagonal $\omega =\omega ^\prime$, but it may be …