976 citations
- Centre National de la Recherche ScientifiqueFR49 papers
- Technical University of DenmarkDK38 papers
- Aarhus UniversityDK29 papers
- University of CopenhagenDK23 papers
- Tokyo Institute of TechnologyJP19 papers
- University of ManchesterGB18 papers
- École Polytechnique Fédérale de LausanneCH17 papers
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- Centre de Physique ThéoriqueFR14 papers
- East China Normal UniversityCN14 papers
- IMAR - Institutul de Matematică „Simion Stoilow” al Academiei RomâneRO14 papers
- Imperial College LondonGB14 papers
7 papers · 2 filters
Positivity and lower bounds to the decay of the atomic one-electron density
Søren Fournais, Maria Hoffmann-Ostenhof, Thomas Hoffmann-Ostenhof +1
We investigate properties of the spherically averaged atomic one-electron density rho~(r). For a rho~ which stems from a physical ground state we prove that rho~ > 0. We also give…
Third derivative of the one-electron density at the nucleus
Søren Fournais, Maria Hoffmann-Ostenhof, Thomas Østergaard Sørensen
We study electron densities of eigenfunctions of atomic Schroedinger operators. We prove the existence of rho~'''(0), the third derivative of the spherically averaged atomic densit…
On the convergence of eigenfunctions to threshold energy states
Thomas Østergaard Sørensen, Edgardo Stockmeyer
We prove the convergence in certain weighted spaces in momentum space of eigenfunctions of H = T-lambda*V as the energy goes to an energy threshold. We do this for three choices of…
Diamagnetic expansions for perfect quantum gases
Philippe Briet, Horia D. Cornean, Delphine Louis
In this work we study the diamagnetic properties of a perfect quantum gas in the presence of a constant magnetic field of intensity . We investigate the Gibbs semigroup associat…
Rigorous perturbation theory versus variational methods in the spectral study of carbon nanotubes
Horia D. Cornean, Thomas G. Pedersen, Benjamin Ricaud
Recent two-photon photo-luminescence experiments give accurate data for the ground and first excited excitonic energies at different nanotube radii. In this paper we compare the an…
Non-isotropic cusp conditions and regularity of the electron density of molecules at the nuclei
Søren Fournais, Maria Hoffmann-Ostenhof, Thomas Hoffmann-Ostenhof +1
We investigate regularity properties of molecular one-electron densities rho near the nuclei. In particular we derive a representation rho(x)=mu(x)*(e^F(x)) with an explicit functi…