Inverse scattering problem for the Schrödinger equation with magnetic potential at a fixed energy
Inverse scattering problem for the Schrödinger equation with magnetic potential at a fixed energy
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固定能量磁势薛定谔方程的逆散射问题
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
J. Ralston
中科院分区：
文献类型：
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作者：
G. Eskin;J. Ralston
在本文中，我们考虑在rn中，n≧3，其电势和磁势呈指数衰减为|x|→∞的Schrödinger算子。我们证明了固定正能量下的散射振幅决定了电势和磁场。
In this article we consider the Schrödinger operator inRn,n≧3, with electric and magnetic potentials which decay exponentially as |x|→∞. We show that the scattering amplitude at fixed positive energy determines the electric potential and the magnetic field.