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arXiv 1206.4288math-phmath.MP
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几何谱反演

Geometric Spectral Inversion

Richard L. Hall

摘要:

给出了Schroedinger算子H = -Δ+ vf(r)的离散本征值E_n,它是耦合参数v \ge v_c的函数F_n(v).给出了如何由F_n(v)重构势形f(x)的方法。讨论了构造性反演算法和函数反演序列。

英文摘要:

A discrete eigenvalue E_n of a Schroedinger operator H = -Δ+ vf(r) is given, as a function F_n(v) of the coupling parameter v\ge v_c. It is shown how the potential shape f(x) can be reconstructed from F_n(v). A constructive inversion algorithm and a functional inversion sequence are both discussed.

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。

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