On the mixed regularity of N-body Coulombic wavefunctions

IF 1.9 3区数学 Q2 Mathematics

Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique Pub Date : 2023-07-01 DOI:10.1051/m2an/2023054

Long Meng

引用次数: 0

Abstract

In this paper, we prove a new mixed regularity of Coulombic wavefunction taking into account the Pauli exclusion principle. We also study the hyperbolic cross space approximation of eigenfunctions associated with this new regularity, and deduce the corresponding error estimates in L2-norm and H1-semi-norm. The proofs are based on the study of extended Hardy-type inequalities for Coulomb-type potentials.

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关于n体库仑波函数的混合正则性

在考虑泡利不相容原理的情况下，证明了库仑波函数的一种新的混合正则性。我们还研究了与这一新正则性相关的特征函数的双曲交叉空间逼近，并推导出相应的l2 -范数和h1 -半范数的误差估计。这些证明是基于对库仑型势的扩展hardy型不等式的研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique 数学-应用数学

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

6-12 weeks

期刊介绍： M2AN publishes original research papers of high scientific quality in two areas: Mathematical Modelling, and Numerical Analysis. Mathematical Modelling comprises the development and study of a mathematical formulation of a problem. Numerical Analysis comprises the formulation and study of a numerical approximation or solution approach to a mathematically formulated problem. Papers should be of interest to researchers and practitioners that value both rigorous theoretical analysis and solid evidence of computational relevance.