Publications and Preprints

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Preprints

Pointwise estimates on derivatives of Coulombic wave functions and their electron densities

(with S. Fournais)
Pointwise estimates on derivatives of Coulombic wave functions and their electron densities. (46 pp.)

[ arXiv: arXiv:1803.03495 ]

Papers

	(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 ]
$Real analyticity of solutions to Schrödinger equations involving a fractional Laplacian and other Fourier multipliers$	(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 ]
	, Positivity of the spherically averaged atomic one-electron density, 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 ]
	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 ]
	, Analyticity of the density of electronic wavefunctions, Ark. Mat. 42 (2004), 87–106. [ zbMATH: Zbl 1068.35118 ] [ MathReviews: MR2056546 ] [ arXiv math-ph/0211075 ]
	, On the regularity of the density of electronic wavefunctions., 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 ]
	, The Electron Density is Smooth Away from the Nuclei, 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.

Publications