976 citations
- Centre National de la Recherche ScientifiqueFR49 papers
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- Tokyo Institute of TechnologyJP19 papers
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- École Polytechnique Fédérale de LausanneCH17 papers
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- IMAR - Institutul de Matematică „Simion Stoilow” al Academiei RomâneRO14 papers
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4 papers · 2 filters
The electron densities of pseudorelativistic eigenfunctions are smooth away from the nuclei
Søren Fournais, Thomas Østergaard Sørensen
We consider a pseudorelativistic model of atoms and molecules, where the kinetic energy of the electrons is given by . In this model the eigenfunctions are genera…
The relativistic Scott correction for atoms and molecules
Jan Philip Solovej, Thomas Østergaard Sørensen, Wolfgang L. Spitzer
We prove the first correction to the leading Thomas-Fermi energy for the ground state energy of atoms and molecules in a model where the kinetic energy of the electrons is treated…
Analytic structure of many-body Coulombic wave functions
Søren Fournais, Maria Hoffmann-Ostenhof, Thomas Hoffmann-Ostenhof +1
We investigate the analytic structure of solutions of non-relativistic Schr"odinger equations describing Coulombic many-particle systems. We prove the following: Let psi(x) with x=…
On the skeleton method and an application to a quantum scissor
Horia D. Cornean, Pierre Duclos, Benjamin Ricaud
In the spectral analysis of few one dimensional quantum particles interacting through delta potentials it is well known that one can recast the problem into the spectral analysis o…