拟stationary states的逆谱问题
Inverse spectrum problem for quasi-stationary states
摘要：
在这项工作中，我们提出了一个半经典的方法来解决一维波动方程的逆谱问题的一类特定的潜力，承认准稳态。我们展示了如何逆势阱和势垒的方法可以推广到重建的组合电位的重要部分。对于重建，假设复值谱的知识，并使用其虚部的指数小。分析谱的研究和最近的应用文献中的方法引力波物理进行了讨论。该方法允许一个简单的重建准稳态电位从一个给定的频谱。因此，它可能是有趣的物理学和相关领域的不同分支。
英文摘要：
In this work we present a semi-classical approach to solve the inverse spectrum problem for one-dimensional wave equations for a specific class of potentials that admits quasi-stationary states. We show how inverse methods for potential wells and potential barriers can be generalized to reconstruct significant parts for the combined potentials. For the reconstruction one assumes the knowledge of the complex valued spectrum and uses the exponential smallness of its imaginary part. Analytic spectra are studied and a recent application of the method in the literature for gravitational wave physics is discussed. The method allows for a simple reconstruction of quasi-stationary state potentials from a given spectrum. Thus it might be interesting for different branches of physics and related fields.
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