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On the mixed regularity of N-body Coulombic wavefunctions.

  • Published In: ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN), 2023, v. 57, n. 4. P. 2257 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Meng, Long 3 of 3

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. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN). 2023/07, Vol. 57, Issue 4, p2257
  • Document Type:Article
  • Subject Area:Science
  • Publication Date:2023
  • ISSN:2822-7840
  • DOI:10.1051/m2an/2023054
  • Accession Number:173707884
  • Copyright Statement:Copyright of ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN) is the property of EDP Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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