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Click title to go to
publisher. Publication list in PDF.
Preprints
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(with
A. Dall'Acqua, S. Fournais, and E. Stockmeyer)
Real analyticity away from the nucleus of pseudorelativistic Hartree-Fock orbitals,
43 pp. Accepted for publication in Analysis & PDE.
[ arXiv: arXiv:1103.5026v1 ] |
Papers
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(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.
[ MathReviews: MR2753635 ]
[ arXiv: arXiv:0811.4537v1 ] |
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(with
J.P. Solovej and W.L. Spitzer)
The relativistic Scott
correction for atoms and molecules.
Comm. Pure Appl. Math. 63 (2010), no. 1, 39–118.
[ MathReviews: MR2588386 ] [ arXiv: arXiv:0808.2163v1 ] |
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(with
S. Fournais, M. and T. Hoffmann-Ostenhof)
Analytic structure of solutions to
multiconfiguration equations.
J. Phys. A: Math. Theor. 42 (2009) 315208.
[ MathReviews: MR2521310 ] [ arXiv: arXiv:0812.1429v1 ] |
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(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
[ MathReviews: MR2504851 ] [ arXiv: arXiv:0806.1004v1 ] |
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(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.
[ MathReviews: MR2453253 ] [ arXiv: math-ph/0607004 ] |
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(with
A. Dall'Acqua and E. Stockmeyer)
Hartree-Fock Theory for Pseudorelativistic Atoms,
Ann. Henri Poincaré 9 (2008), no. 4, 711–742.
[ MathReviews: MR2413201 ] [ arXiv: 0707.4612v1[math-ph] ] |
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(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.
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,
Positivity of the spherically averaged
atomic one-electron density,
Math. Z. 259 (2008) no. 1, 123–130.
[ MathReviews: MR2375619 ]
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(with
E. Stockmeyer)
On the convergence of
eigenfunctions to threshold energy states,
Proc. R. Soc. Edinb., Sect. A, Math. 138A (2008), 169–187.
[ MathReviews: MR2388942 ] [ arXiv: math-ph/0604015 ] |
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(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.
[ MathReviews: MR2333780 ] [ arXiv:
math-ph/0603019 ] |
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The large-Z Behaviour of pseudorelativistic atoms,
J. Math. Phys., 46, 052307 (2005).
[ MathReviews: MR2142995 ] [ arXiv:
math-ph/0408056 ] |
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(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
[ MathReviews: MR2123381 ] [ arXiv:
math-ph/0312060 ] |
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Analyticity of the density of electronic wavefunctions,
Ark. Mat. 42 (2004), 87–106.
[ MathReviews: MR2056546 ] [ arXiv
math-ph/0211075 ]
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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.
[ MathReviews: MR1946025 ] [ arXiv:
math-ph/0211070 ]
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,
The
Electron Density is Smooth Away from the
Nuclei,
Commun. Math. Phys. 228 (2002), no. 3, 401–415.
[ MathReviews: MR1918782 ] [ arXiv:
math-ph/0109020 ]
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(with M. and
T. Hoffmann-Ostenhof)
Electron Wavefunctions
and Densities for Atoms,
Ann. Henri Poincaré 2 (2001), no. 1, 77–100.
[ MathReviews: MR1823834 ] [ arXiv:
math.AP/0005018 ]
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Theses
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Non-relativistic and pseudorelativistic quantum mechanics of atoms and molecules,
Habilitation thesis, Department of Mathematics,
LMU Munich, Germany, 2009.
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Towards a
Relativistic Scott Correction,
Ph.D. thesis, Department of Mathematical Sciences,
University of Aarhus, Denmark, 1998.
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The
Large-Z Behaviour of Pseudo-Relativistic
Atoms,
Progress-report, Department of Mathematical Sciences,
University of Aarhus, Denmark, 1996.
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