Publications and Preprints

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Papers

Coulomb potentials and Taylor expansions in Time-Dependent Density Functional Theory (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 ]

Real analyticity away from the nucleus of pseudorelativistic Hartree-Fock orbitals (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 ]

The electron
      densities of pseudorelativistic eigenfunctions are smooth away
      from the nuclei (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 ]

Relativistic Scott correction for atoms and molecules (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 ]

Analytic
		 structure of solutions to multiconfiguration
		 equations (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 ]

Analytic
		 Structure of Many-Body Coulombic Wave
		 Functions (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 ]

Third
		 derivative of the  
		 one-electron density at the nucleus (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 ]

Hartree-Fock theory for
   pseudorelativistic atoms (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] ]

Local and
		  global properties of  
                 eigenfunctions and one-electron densities
                 of Coulombic Schrödinger operators. (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.             , Positivity of the spherically averaged atomic one-electron density,
Math. Z. 259 (2008) no. 1, 123–130.

[ zbMATH:  Zbl 1138.81567  ]  [ MathReviews:  MR2375619 ]  

On the
		  convergence of 
		eigenfunctions to threshold energy states (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 ]

Non-isotropic cusp  
       conditions and regularity of the electron density 
       of molecules at the nuclei. (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 pseudo-relativistic atoms. The large-Z Behaviour of pseudorelativistic atoms,
J. Math. Phys., 46, 052307 (2005).

[ zbMATH:  Zbl 1110.81162  ]  [ MathReviews:  MR2142995 ]  [ arXiv:  math-ph/0408056 ]

Sharp
		regularity results for Coulombic many-electron wave
		functions (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<             , 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             , 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             , 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 ]

Electron
		wavefunctions 
		and densities for atoms (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 Non-relativistic and pseudorelativistic quantum mechanics of atoms and molecules,
Habilitation thesis, Department of Mathematics, LMU Munich, Germany, 2009.
Towards a 
		Relativistic Scott Correction Towards a Relativistic Scott Correction,
Ph.D. thesis, Department of Mathematical Sciences, University of Aarhus, Denmark, 1998.
The 
                 Large-Z Behaviour of Pseudo-Relativistic The Large-Z Behaviour of Pseudo-Relativistic Atoms,
Progress-report, Department of Mathematical Sciences, University of Aarhus, Denmark, 1996.
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