Effects of quark interactions on dynamical chiral symmetry breaking by a magnetic field.
Electronic density at the nucleus. On a conjecture of Lieb
Electroweak interaction model with an undegenerate double symmetry.
Équations de champ moyen pour la dynamique quantique d’un grand nombre de particules
L’objet de cet exposé est de montrer comment l’évolution de Schrödinger pour le problème à corps quantique est approchée, lorsque tend vers l’infini, dans un régime convenable, par une évolution non-linéaire en dimension trois d’espace. On traitera le cas des bosons, qui conduit à l’équation de Schrödinger-Poisson, et celui des fermions, qui débouche sur le système de Hartree-Fock.
Essential spectrum of multiparticle Brown-Ravenhall operators in external field.
Estimations exponentielles en théorie de la diffusion pour des opérateurs de Schrödinger matriciels
Exact solutions and symmetry operators for the nonlocal Gross-Pitaevskii equation with quadratic potential.
Excess charge for pseudo-relativistic atoms in Hartree-Fock theory.
Existence globale pour les systèmes de Maxwell-Bloch
Existence of minimizers for Kohn-Sham models in quantum chemistry
Exotic galilean symmetry and non-commutative mechanics.
Finite unification: theory and predictions.
First-order semidefinite programming for the two-electron treatment of many-electron atoms and molecules
The ground-state energy and properties of any many-electron atom or molecule may be rigorously computed by variationally computing the two-electron reduced density matrix rather than the many-electron wavefunction. While early attempts fifty years ago to compute the ground-state 2-RDM directly were stymied because the 2-RDM must be constrained to represent an N-electron wavefunction, recent advances in theory and optimization have made direct computation of the 2-RDM possible. The constraints in...
Forced anisotropic mean curvature flow of graphs in relative geometry
The paper is concerned with the graph formulation of forced anisotropic mean curvature flow in the context of the heteroepitaxial growth of quantum dots. The problem is generalized by including anisotropy by means of Finsler metrics. A semi-discrete numerical scheme based on the method of lines is presented. Computational results with various anisotropy settings are shown and discussed.
Form perturbations of the second quantized Dirac field.
From -level atom chains to n-dimensional noises
From Planck to Ramanujan : a quantum noise in equilibrium
We describe a new model of massless thermal bosons which predicts an hyperbolic fluctuation spectrum at low frequencies. It is found that the partition function per mode is the Euler generating function for unrestricted partitions ). Thermodynamical quantities carry a strong arithmetical structure : they are given by series with Fourier coefficients equal to summatory functions of the power of divisors, with for the free energy, for the number of particles and for the internal energy. Low...
From random telegraph to Gaussian stochastic noises: decoherence and spectral diffusion in a semiconductor quantum dot.
Functional integral approaches to the bosonization of effective multi-quark interactions with breaking.
Gaudin's model and the generating function of the Wroński map
We consider the Gaudin model associated to a point z ∈ ℂⁿ with pairwise distinct coordinates and to the subspace of singular vectors of a given weight in the tensor product of irreducible finite-dimensional sl₂-representations, [G]. The Bethe equations of this model provide the critical point system of a remarkable rational symmetric function. Any critical orbit determines a common eigenvector of the Gaudin hamiltonians called a Bethe vector. In [ReV], it was shown that for generic...