Publications and Preprints
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Papers
- (with
S. Fournais)
Estimates on derivatives of Coulombic wave functions and their electron densities.
J. reine angew. Math. 775 (2021), 1–38.[ zbMATH: Zbl 07355559 ] [ MathReviews: MR4265183 ] [ arXiv: arXiv:1803.03495 ]
- (with
S. Fournais, J. Lampart, and M. Lewin)
Coulomb potentials and Taylor expansions in Time-Dependent Density Functional Theory.
Phys. Rev. A 93, 062510 (2016).[ arXiv: arXiv:1603.02219 ]
- (with
A. Dall'Acqua, S. Fournais, and E. Stockmeyer)
Real analyticity of solutions to Schrödinger equations involving a fractional Laplacian and other Fourier multipliers.
XVIIth International Congress on Mathematical Physics (2013), 600–609
(Proceedings of ICMP12, Aalborg, Denmark, August 6–11, 2012).[ zbMATH: Zbl 1302.81092 ] [ MathReviews: MR3204512 ] [ arXiv: arXiv:1209.3885v2 ]
-
(with
A. Dall'Acqua, S. Fournais, and E. Stockmeyer)
Real analyticity away from the nucleus of pseudorelativistic Hartree-Fock orbitals.
Analysis & PDE 5 (2012), no. 3, 657–691.[ zbMATH: Zbl 1267.35174 ] [ MathReviews: MR2994509 ] [ arXiv: arXiv:1103.5026v2 ]
-
(with
S. Fournais)
The Electron Densities of Pseudorelativistic Eigenfunctions are Smooth Away from the Nuclei.
Comm. Partial Differential Equations 35 (2010), no. 7, 1276–1291.[ zbMATH: Zbl 1205.35240 ] [ MathReviews: MR2753635 ] [ arXiv: arXiv:0811.4537v1 ]
-
(with
J.P. Solovej and W.L. Spitzer)
Relativistic Scott correction for atoms and molecules.
Comm. Pure Appl. Math. 63 (2010), no. 1, 39–118.[ zbMATH: Zbl 1182.81065 ] [ MathReviews: MR2588386 ] [ arXiv: arXiv:0808.2163v1 ]
-
(with
S. Fournais, M. and T. Hoffmann-Ostenhof)
Analytic structure of solutions to multiconfiguration equations.
J. Phys. A: Math. Theor. 42 (2009) 315208.[ zbMATH: Zbl 1181.35282 ] [ MathReviews: MR2521310 ] [ arXiv: arXiv:0812.1429v1 ]
-
(with
S. Fournais, M. and T. Hoffmann-Ostenhof)
Analytic Structure of Many-Body Coulombic Wave Functions.
Commun. Math. Phys. 289 (2009), no. 1, 291–310[ zbMATH: Zbl 1171.35110 ] [ MathReviews: MR2504851 ] [ arXiv: arXiv:0806.1004v1 ]
-
(with
S. Fournais and M. Hoffmann-Ostenhof)
Third Derivative of the One-Electron Density at the Nucleus.
Ann. Henri Poincaré 9 (2008), no. 7, 1387–1412.[ zbMATH: Zbl 1160.81028 ] [ MathReviews: MR2453253 ] [ arXiv: math-ph/0607004 ]
-
(with
A. Dall'Acqua and E. Stockmeyer)
Hartree-Fock Theory for Pseudorelativistic Atoms,
Ann. Henri Poincaré 9 (2008), no. 4, 711–742.
[ zbMATH: Zbl 1192.81406 ] [ MathReviews: MR2413201 ] [ arXiv: 0707.4612v1[math-ph] ]
-
(with
S. Fournais, M. and
T. Hoffmann-Ostenhof)
Local and global properties of eigenfunctions and one-electron densities of Coulombic Schrödinger operators,
AIP Conference Proceedings volume 998 (2008):
'Quantum Few-Body Systems', Aarhus, Denmark, 19–20 March 2007.[ zbMATH: Zbl 1180.81057 ]
-
Math. Z. 259 (2008) no. 1, 123–130.[ zbMATH: Zbl 1138.81567 ] [ MathReviews: MR2375619 ]
-
(with
E. Stockmeyer)
On the convergence of eigenfunctions to threshold energy states,
Proc. R. Soc. Edinb., Sect. A, Math. 138A (2008), 169–187.[ zbMATH: Zbl 1146.35063 ] [ MathReviews: MR2388942 ] [ arXiv: math-ph/0604015 ]
-
(with
S. Fournais, M. and
T. Hoffmann-Ostenhof)
Non-Isotropic Cusp Conditions and Regularity of the Electron Density of Molecules at the Nuclei,
Ann. Henri Poincaré 8 (2007), no. 4, 731–748.
[ zbMATH: Zbl 1126.81054 ] [ MathReviews: MR2333780 ] [ arXiv: math-ph/0603019 ]
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The large-Z Behaviour of pseudorelativistic atoms,
J. Math. Phys., 46, 052307 (2005).[ zbMATH: Zbl 1110.81162 ] [ MathReviews: MR2142995 ] [ arXiv: math-ph/0408056 ]
-
(with
S. Fournais, M. and
T. Hoffmann-Ostenhof)
Sharp Regularity Results for Coulombic Many-Electron Wave Functions,
Commun. Math. Phys. 255 (2005), no. 1, 183–227[ zbMATH: Zbl 1075.35063 ] [ MathReviews: MR2123381 ] [ arXiv: math-ph/0312060 ]
-
Ark. Mat. 42 (2004), 87–106.
[ zbMATH: Zbl 1068.35118 ] [ MathReviews: MR2056546 ] [ arXiv math-ph/0211075 ]
-
In 'Mathematical results in quantum mechanics (Taxco, 2001)', 143--148,
Contemp. Math., 307, Amer. Math. Soc., Providence, RI, 2002.
[ zbMATH: Zbl 1041.81104 ] [ MathReviews: MR1946025 ] [ arXiv: math-ph/0211070 ]
-
Commun. Math. Phys. 228 (2002), no. 3, 401–415.
[ zbMATH: Zbl 1005.81095 ] [ MathReviews: MR1918782 ] [ arXiv: math-ph/0109020 ]
-
(with M. and
T. Hoffmann-Ostenhof)
Electron Wavefunctions and Densities for Atoms,
Ann. Henri Poincaré 2 (2001), no. 1, 77–100.
[ zbMATH: Zbl 0985.81133 ] [ MathReviews: MR1823834 ] [ arXiv: math.AP/0005018 ]
Theses
-
Non-relativistic and pseudorelativistic quantum mechanics of atoms and molecules,
Habilitation thesis, Department of Mathematics, LMU Munich, Germany, 2009.
-
Towards a
Relativistic Scott Correction,
Ph.D. thesis, Department of Mathematical Sciences, University of Aarhus, Denmark, 1998. -
The
Large-Z Behaviour of Pseudo-Relativistic
Atoms,
Progress-report, Department of Mathematical Sciences, University of Aarhus, Denmark, 1996.