论文标题

限制具有远距离电势的Schrödinger操作员的吸收原理和辐射条件

Limiting absorption principle and radiation conditions for Schrödinger operators with long-range potentials

论文作者

Larsen, Martin Dam

论文摘要

我们展示了Rellich的定理,限制吸收原理以及对具有远距离电势的一类巨大的一体Schrödinger运算符的Sommerfeld唯一性,并扩展了先前已知的结果。我们的一般方法基于基本换向器的估计,很大程度上遵循ITO和Skibsted最近制定的计划。

We show Rellich's theorem, the limiting absorption principle, and a Sommerfeld uniqueness result for a wide class of one-body Schrödinger operators with long-range potentials, extending and refining previously known results. Our general method is based on elementary commutator estimates, largely following the scheme developed recently by Ito and Skibsted.

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