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
Semiclassical resonances in some simple cases
Semiclassical scattering by the Coulomb potential
Semi-classical trace formula and clustering of eigenvalues for Schrödinger operators
Semilinear elliptic problems on unbounded subsets of the Heisenberg group.
Sharp estimates for singular transport equations
We provide estimates for a transport equation which contains singular integral operators. The form of the equation was motivated by the study of Kirchhoff–Sobolev parametrices in a Lorentzian space-time satisfying the Einstein equations. While our main application is for a specific problem in General Relativity we believe that the phenomenon which our result illustrates is of a more general interest.
Sharp polynomial bounds on the number of scattering poles for metric perturbations of the Laplacian in IRn.