76 citations
- Nantes UniversitéFR2 papers
- Center for Mathematical ModelingCL1 paper
- Centre de Recherche en Mathématiques de la DécisionFR1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Delhi Integrated Multi-Modal Transit SystemIN1 paper
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8 papers
Geometry over composition algebras : projective geometry
Pierre-Emmanuel Chaput
The purpose of this article is to introduce projective geometry over composition algebras : the equivalent of projective spaces and Grassmannians over them are defined. It will fol…
Quadratic Quantum Hamiltonians revisited
Monique Combescure, Didier Robert
Time dependent quadratic Hamiltonians are well known as well in classical mechanics and in quantum mechanics. In particular for them the correspondance between classical and quantu…
Reduced Gutzwiller formula with symmetry: case of a Lie group
Roch Cassanas
We consider a classical Hamiltonian on , invariant by a Lie group of symmetry , whose Weyl quantization is a selfadjoint operator on $L^2(\mathbb{…
The dressed mobile atoms and ions
Laurent Amour, Benoit Grebert, Jean-Claude Guillot
We consider free atoms and ions in interacting with the quantized electromagnetic field. Because of the translation invariance we consider the reduced hamiltonian associated…
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…
An inverse scattering problem for short-range systems in a time-periodic electric field
François Nicoleau
We consider the time-dependent Hamiltonian on , where the external electric field and the short-range electric poten…