Schrödinger equations with unique positive isolated singularities.
Schrödinger operator with magnetic field in domain with corners
We present here a simplified version of results obtained with F. Alouges, M. Dauge, B. Helffer and G. Vial (cf [4, 7, 9]). We analyze the Schrödinger operator with magnetic field in an infinite sector. This study allows to determine accurate approximation of the low-lying eigenpairs of the Schrödinger operator in domains with corners. We complete this analysis with numerical experiments.
Schrödinger operators in the uniform norm
Schrödinger operators with almost periodic potentials in nonseparable Hilbert spaces
Schrödinger operators with form-bounded potentials in -spaces
Schrödinger Operators with Singular Magnetic Vector Potentials.
Schrödinger-Poisson equations with supercritical growth.
Schrödingers Operators with Singular Magnetic Vector Potentials.
s∗-compressibility of the discrete Hartree-Fock equation
The Hartree-Fock equation is widely accepted as the basic model of electronic structure calculation which serves as a canonical starting point for more sophisticated many-particle models. We have studied the s∗-compressibility for Galerkin discretizations of the Hartree-Fock equation in wavelet bases. Our focus is on the compression of Galerkin matrices from nuclear Coulomb potentials and nonlinear terms in the Fock operator which hitherto has not been discussed in the literature. It can be shown...
s∗-compressibility of the discrete Hartree-Fock equation
The Hartree-Fock equation is widely accepted as the basic model of electronic structure calculation which serves as a canonical starting point for more sophisticated many-particle models. We have studied the s∗-compressibility for Galerkin discretizations of the Hartree-Fock equation in wavelet bases. Our focus is on the compression of Galerkin matrices from nuclear Coulomb potentials and nonlinear terms in the Fock operator which hitherto has not been discussed in the literature. It can be shown...
Sections efficaces dans le problème à -corps
Self-Adjointness for Strongly Singular Potentials with a - |x|2 Fall-Off at Infinity.
Semiclassical analysis of low lying eigenvalues. I. Non degenerate minima : asymptotic expansions
Semiclassical analysis of low lying eigenvalues. I. Non-degenerate minima : asymptotic expansions
Semiclassical and weak-magnetic-field eigenvalue asymptotics for the Schrödinger operator with electromagnetic potential
Semi-classical eigenstates at the bottom of a multidimensional well
Semiclassical eigenstates in a multidimensional well
Semi-classical estimates for resolvents and asymptotics for total scattering cross-sections
Semiclassical resolvent estimates
Semiclassical resolvent estimates for two and three-body Schrödinger operators