指数下降势函数的固定能量反问题
Fixed energy inverse problem for exponentially decreasing potentials
摘要：
在本文中，我们表明，在两体散射的散射矩阵在一个固定的能量确定实值指数下降的潜力。这个结果已经证明了诺维科夫以前，也看到工作诺维科夫和肯金使用的d-酒吧方程。我们提出了一种不同的方法，它结合了密度参数和实解析的复杂动量的一部分。后者已注意到诺维科夫和肯金;在这里，我们给一个简短的证明使用轮廓变形。在论文的附录中，我们还提供了对Eskin和Ralston工作的引用，这些工作没有出现在已发表的论文中，因为我们不知道他们工作的相关方面。
英文摘要：
In this paper we show that in two-body scattering the scattering matrix at a fixed energy determines real-valued exponentially decreasing potentials. This result has been proved by Novikov previously, see also the work of Novikov and Khenkin using a d-bar-equation. We present a different method, which combines a density argument and real analyticity in part of the complex momentum. The latter has been noted by Novikov and Khenkin; here we give a short proof using contour deformations. In the addendum to the paper we also supply a reference to the work of Eskin and Ralston that did not appear in the published paper since we were unaware of the relevant aspects of their work.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
