Electron Wavefunctions and Densities for Atoms
Hoffmann-Ostenhof, Maria ; Hoffmann-Ostenhof, Thomas ; Sørensen, Thomas Østergaard
arXiv, 0005018 / Harvested from arXiv
Text on arXiv
With a special `Ansatz' we analyse the regularity properties of atomic electron wavefunctions and electron densities. In particular we prove an a priori estimate, $\sup_{y\in B(x,R)}|\nabla\psi(y)| \leq C(R) \sup_{y\in B(x,2R)}|\psi(y)|$ and obtain for the spherically averaged electron density, $\widetilde\rho(r)$, that $\widetilde\rho''(0)$ exists and is non-negative.
Publié le : 2000-05-02
Classification:  Mathematics - Analysis of PDEs,  Mathematical Physics,  81V10, 35B05, 35J10, 81Q05 
@article{0005018,
     author = {Hoffmann-Ostenhof, Maria and Hoffmann-Ostenhof, Thomas and S\o rensen, Thomas \O stergaard},
     title = {Electron Wavefunctions and Densities for Atoms},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0005018}
}

Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Sørensen, Thomas Østergaard. Electron Wavefunctions and Densities for Atoms. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0005018/