• français
    • English
  • English 
    • français
    • English
  • Login
JavaScript is disabled for your browser. Some features of this site may not work without it.
BIRD Home

Browse

This CollectionBy Issue DateAuthorsTitlesSubjectsJournals BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesSubjectsJournals

My Account

Login

Statistics

View Usage Statistics

A note about the mixed regularity of Schrödinger Coulomb system

Thumbnail
View/Open
A_note_about_the_mixed_regularity_of_Schrodinger_Coulomb_system__second_version_.pdf (301.3Kb)
Date
2019
Publisher city
Paris
Publishing date
12-2019
Collection title
Cahier de recherche CEREMADE, Université Paris-Dauphine
Dewey
Analyse
Sujet
Schrödinger Coulomb system
URI
https://basepub.dauphine.fr/handle/123456789/20332
Collections
  • CEREMADE : Publications
Metadata
Show full item record
Author
Meng, Long
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Type
Document de travail / Working paper
Item number of pages
13
Abstract (EN)
We give a short and unified proof of mixed regularity of Coulomb system for several cases: antisymmetric case with order of derivatives smaller than 1.25 which is the best bound; mixture of antisymmetry and non-antisymmetry with order of derivatives 1+β and α respevtively for 0≤0<α<0.75, 0.75<β<1.25 and α+β<1.5 which is also the oprtimal bound; and purely non-antisymmetric case with order of derivatives up to 0.75. In addition to Hardy type inequality, it is based on the Herbst inequality. Such results are of particular importance for the study of sparse grid-like expansions of the wavefunctions. Moreover, we can get how fast the norm of these derivative can increase with the number of electrons.

  • Accueil Bibliothèque
  • Site de l'Université Paris-Dauphine
  • Contact
SCD Paris Dauphine - Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16

 Content on this site is licensed under a Creative Commons 2.0 France (CC BY-NC-ND 2.0) license.