Unique Continuation for Many-Body Schrodinger Operators and the Hohenberg-Kohn Theorem

Garrigue Louis

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Unique Continuation for Many-Body Schrodinger Operators and the Hohenberg-Kohn Theorem

机译：独特的延续对许多身体施罗德格运营商和Hohenberg-Kohn定理

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We prove the strong unique continuation property for many-body Schrodinger operators with an external potential and an interaction potential both in L-loc(p)(R-d), where p 2 if d = 3 and p = max(2d/3, 2) otherwise, independently of the number of particles. With the same assumptions, we obtain the Hohenberg-Kohn theorem, which is one of the most fundamental results in Density Functional Theory.

机译：我们证明了许多身体Schrodinger运营商的强大独特的连续性，具有外部电位和L-LOC（P）（R-D）中的相互作用电位，其中P＆GT; 2如果d = 3和p = max（2d / 3,2）否则，则独立于粒子的数量。具有相同的假设，我们获得了Hohenberg-Kohn定理，这是密度泛函理论中最基本的结果之一。

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来源
《Mathematical physics, analysis, and geometry》 |2018年第3期|共11页
作者
Garrigue Louis;
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作者单位

PSL Res Univ CEREMADE Univ Paris Dauphine F-75016 Paris France;

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原文格式 PDF
正文语种 eng
中图分类理论物理学;
关键词
Mathematical physics; Analysis of PDE;

机译：数学物理学;PDE分析;

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专利

1. Unique Continuation for Many-Body Schrodinger Operators and the Hohenberg-Kohn Theorem [J] . Garrigue Louis Mathematical physics, analysis, and geometry . 2018,第3期

机译：独特的延续对许多身体施罗德格运营商和Hohenberg-Kohn定理
2. Weighted doubling properties and unique continuation theorems for the degenerate Schrodinger equations with singular potentials [J] . Tao XX, Zhang SY Journal of Mathematical Analysis and Applications . 2008,第1期

机译：具有奇异势的简并Schrodinger方程的加权加倍性质和唯一连续定理
3. UNIQUENESS THEOREMS IN INVERSE SPECTRAL THEORY FOR ONE-DIMENSIONAL SCHRODINGER OPERATORS [J] . Gesztesy F., Simon B. Transactions of the American Mathematical Society . 1996,第1期

机译：一维Schrodinger算子反谱理论的唯一性定理。
4. Existence and uniqueness theorems of equivalent differential operators of thin wire integral equations [C] . Mei, K.K. . 2001

机译：细线积分方程的等效微分算子的存在唯一性定理
5. Strong unique continuation for hyperbolic operators. [D] . Luca, Mihnea-Paul. 2013

机译：双曲算子的强唯一连续性。
6. MAPPING THEOREMS FOR NONCOMPACT NONLINEAR OPERATORS IN BANACH SPACES [O] . Felix E. Browder 1965

机译：Banach空间中非紧非线性算子的映射定理。
7. Unique continuation for Schrodinger operators with potential in Morrey spaces [O] . Ruiz Alberto 1991

机译：具有Morrey空间潜力的Schrodinger算子的唯一延续

Unique Continuation for Many-Body Schrodinger Operators and the Hohenberg-Kohn Theorem

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