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
- University of OxfordGB16 papers
- Centre de Physique ThéoriqueFR14 papers
- East China Normal UniversityCN14 papers
- IMAR - Institutul de Matematică „Simion Stoilow” al Academiei RomâneRO14 papers
- Imperial College LondonGB14 papers
10 papers · 1 filter
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…
The Faraday effect revisited: Thermodynamic limit
H. D. Cornean, G. Nenciu
This paper is the second in a series revisiting the (effect of) Faraday rotation. We formulate and prove the thermodynamic limit for the transverse electric conductivity of Bloch e…
On Field Size and Success Probability in Network Coding
Olav Geil, Ryutaroh Matsumoto, Casper Thomsen
Using tools from algebraic geometry and Groebner basis theory we solve two problems in network coding. First we present a method to determine the smallest field size for which line…
Model Checking One-clock Priced Timed Automata
Patricia Bouyer, Kim G. Larsen, Nicolas Markey
We consider the model of priced (a.k.a. weighted) timed automata, an extension of timed automata with cost information on both locations and transitions, and we study various model…
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=…