3.5k citations
- Centre National de la Recherche ScientifiqueFR18 papers
- Centre de Physique ThéoriqueFR9 papers
- University of MinnesotaUS7 papers
- Carnegie Mellon UniversityUS6 papers
- Pennsylvania State UniversityUS6 papers
- State Street (United States)US4 papers
- University of California, BerkeleyUS4 papers
- Aix-Marseille UniversitéFR3 papers
- Atlanta Technical CollegeUS3 papers
- Centre de Recherche en Mathématiques de la DécisionFR3 papers
- Columbia UniversityUS3 papers
- Emory UniversityUS3 papers
8 papers · 1 filter
Low energy properties of the random displacement model
Jeff Baker, Michael Loss, Günter Stolz
We study low-energy properties of the random displacement model, a random Schrödinger operator describing an electron in a randomly deformed lattice. All periodic displacement conf…
Optimal Concentration for SU(1,1) Coherent State Transforms and an analogue of the Lieb-Wehrl Conjecture for SU(1,1)
Jogia Bandyopadhyay
We derive a lower bound for the Wehrl entropy in the setting of SU(1,1). For asymptotically high values of the quantum number k, this bound coincides with the analogue of the Lieb-…
Stability of atoms and molecules in an ultrarelativistic Thomas-Fermi-Weizsaecker model
Rafael D. Benguria, Michael Loss, Heinz Siedentop
We consider the zero mass limit of a relativistic Thomas-Fermi-Weizsaecker model of atoms and molecules. We find bounds for the critical nuclear charges that ensure stability.
The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half-space
Rafael D. Benguria, Rupert L. Frank, Michael Loss
It is shown that the sharp constant in the Hardy-Sobolev-Maz'ya inequality on the three dimensional upper half space is given by the Sobolev constant. This is achieved by a duality…
Lieb-Thirring type inequalities and Gagliardo-Nirenberg inequalities for systems
Jean Dolbeault, Patricio Felmer, Michael Loss +1
We prove a Lieb-Thirring type inequality for potentials such that the associated Schrödinger operator has a pure discrete spectrum made of an unbounded sequence of eigenvalues. Thi…
Droplet minimizers for the Cahn Hilliard free energy functional
E. A. Carlen, M. C. Carvalho, R. Esposito +2
We prove theorem characterizing the minimizers in a model for condensation based on the Cahn Hilliard free energy functional. In particular, we exactly determine the critical densi…