径向半经典Schrödinger算子的共振唯一性

K. Datchev, Hamid Hezari
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引用次数: 6

摘要

证明了R^n中n大于或等于1奇数的径向、单调、超指数衰减势是由相关半经典薛定谔算符在R^n中所有超指数衰减势之间的共振决定的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Resonant Uniqueness of Radial Semiclassical Schrödinger Operators
We prove that radial, monotonic, superexponentially decaying potentials in R^n, n greater than or equal to 1 odd, are determined by the resonances of the associated semiclassical Schrodinger operator among all superexponentially decaying potentials in R^n.
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