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- Nantes UniversitéFR6 papers
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- Center for Mathematical ModelingCL1 paper
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9 papers · 1 filter
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…
The d-bar approach to approximate inverse scattering at fixed energy in three dimensions
Roman Novikov
We develop the d-bar approach to inverse scattering at fixed energy in dimensions of [Beals, Coifman 1985] and [Henkin, Novikov 1987]. As a result we propose a stable meth…