Fournais, Søren; Sørensen, Thomas Østergaard Estimates on derivatives of coulombic wave functions and their electron densities. (English) Zbl 1469.35180 J. Reine Angew. Math. 775, 1-38 (2021). Reviewer: Radosław Szmytkowski (Gdánsk) MSC: 35Q40 35P05 81Q10 81V45 81V70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fournais, Søren; Sørensen, Thomas Ø. The electron densities of pseudorelativistic eigenfunctions are smooth away from the nuclei. (English) Zbl 1205.35240 Commun. Partial Differ. Equations 35, No. 7, 1276-1291 (2010). Reviewer: Pedram Hekmati (Adelaide) MSC: 35Q40 35B65 35J10 81Q05 81V55 81V70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Sørensen, Thomas Østergaard Analytic structure of many-body Coulombic wave functions. (English) Zbl 1171.35110 Commun. Math. Phys. 289, No. 1, 291-310 (2009). MSC: 35Q55 81Q05 35A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fournais, S.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Østergaard, Sørensen T. Positivity of the spherically averaged atomic one-electron density. (English) Zbl 1138.81567 Math. Z. 259, No. 1, 123-130 (2008). MSC: 81V45 × Cite Format Result Cite Review PDF Full Text: DOI
Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Sørensen, Thomas Østergaard Sharp regularity results for Coulombic many-electron wave functions. (English) Zbl 1075.35063 Commun. Math. Phys. 255, No. 1, 183-227 (2005). MSC: 35Q40 81Q05 81V45 35J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Østergaard Sørensen, Thomas Analyticity of the density of electronic wavefunctions. (English) Zbl 1068.35118 Ark. Mat. 42, No. 1, 87-106 (2004). Reviewer: Andrey Ivanovic Sedov (Magnitogorsk) MSC: 35Q40 35B25 81Q10 35P05 35J10 47N50 81V55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Østergaard Sørensen, Thomas The electron density is smooth away from Nuclei. (English) Zbl 1005.81095 Commun. Math. Phys. 228, No. 3, 401-415 (2002). MSC: 81V45 81V55 81R05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fournais, Søren The nodal surface of the second eigenfunction of the Laplacian in \(\mathbb{R}^D\) can be closed. (English) Zbl 1011.47033 J. Differ. Equations 173, No. 1, 145-159 (2001). Reviewer: J.Schmeelk (Richmond) MSC: 47F05 35P05 35J05 × Cite Format Result Cite Review PDF Full Text: DOI