... and Schrödinger operators.
A calculus of observables on a Dirac particle
A duality between Schrödinger operators on graphs and certain Jacobi matrices
A generalized coherent state approach of the quantum dynamics for suitable time-dependent hamiltonians
A new method for obtaining solutions of the Dirac equation.
A quantum particle in a quadrupole radio-frequency trap
absence de résonance près du réel pour l’opérateur de Schrödinger
On donne dans cet exposé des bornes inférieures universelles, en limite semiclassique, de la hauteur des résonances de forme associées aux opérateurs de Schrödinger à l’extérieur d’obstacles avec des conditions au bord de Dirichlet ou de Neumann et des potentiels analytiquement dilatables et tendant vers à l’infini. Ces bornes inférieures sont exponentiellement petites par rapport à la constante de Planck.
Adiabatic expansion approximation solutions for the three-body problem.
Algebraic calculation of the energy eigenvalues for the nondegenerate three-dimensional Kepler-Coulomb potential.
Alternative method for determining the Feynman propagator of a non-relativistic quantum mechanical problem.
An error analysis of the multi-configuration time-dependent Hartree method of quantum dynamics
This paper gives an error analysis of the multi-configuration time-dependent Hartree (MCTDH) method for the approximation of multi-particle time-dependent Schrödinger equations. The MCTDH method approximates the multivariate wave function by a linear combination of products of univariate functions and replaces the high-dimensional linear Schrödinger equation by a coupled system of ordinary differential equations and low-dimensional nonlinear partial differential equations. The main result of this...
An inverse problem for the discrete periodic Schrödinger operator.
Analyse semi-classique de l'effet tunnel
Analytic approach to systems in potential models.
Analytic solutions to nonlocal abstract equations
In this paper we study the problem of existence of global solutions for some classes of abstract equations, that generalize some type of Klein-Gordon equations, with nonlinear nonlocal terms of Kirchhoff type. We find some conditions that guarantee the existence of such solutions whether in presence or in absence of a conserved energy.
Approximation semi-classique de l'équation de Heisenberg
Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential
Asymptotics of solutions to Schrödinger equations with singular magnetic and electric potentials is investigated. By using a Almgren type monotonicity formula, separation of variables, and an iterative Brezis–Kato type procedure, we describe the exact behavior near the singularity of solutions to linear and semilinear (critical and subcritical) elliptic equations with an inverse square electric potential and a singular magnetic potential with a homogeneity of order −1.
Asymptotic behavior of the ground state of large atoms
Asymptotique de la phase de diffusion à haute énergie pour l'opérateur de Dirac
Bounds on Schrödinger operators and generalized Sobolev type inequalities