Recovering asymptotics of metrics from fixed energy scattering data
Recovering asymptotics of metrics from fixed energy scattering data
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从固定能量散射数据中恢复度量的渐进性
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
A. Sá Barreto
中科院分区：
文献类型：
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作者：
M. Joshi;A. Sá Barreto
研究了固定能量散射数据中的n。证明了如果两个度量g1，g2在某个固定能量下的散射数据等于光滑，则存在一个“固定无穷”的双态同构，使得λ *g1-g2迅速减小.给出了两个能量下的散射矩阵，证明了度规和短程势的渐近性可以同时确定。这些结果也适用于广泛的一类散射流形。
n from fixed energy scattering data is studied. It is shown that if two such metrics, g1,g2, have scattering data at some fixed energy which are equal up to smoothing, then there exists a diffeomorphism ψ‘fixing infinity’ such that ψ*g1-g2 is rapidly decreasing. Given the scattering matrix at two energies, it is shown that the asymptotics of a metric and a short range potential can be determined simultaneously. These results also hold for a wide class of scattering manifolds.