Equation de Schrödinger et equation de particule brownienne

Méthode de décomposition de domaines pour l'équation de Schrödinger. (Domain decomposition method for Schrödinger equation)

This thesis focuses on the development and the implementation of domain decomposition methods for the linear and non-linear, one dimensional and two dimensional Schrödinger equations. In the first part, we focus on the Schwarz waveform relaxation method (SWR) for the one dimensional Schrödinger equation. In the case the potential is linear and time-independent, we propose a new algorithm that i...

Description de Hyalomma dromedarii (Koch 1844) Morphologie de la larve et de la nymphe

Etude preliminaire de l'association de vaccins antiaphteux et antibrucellique

Schrödinger equation revisited.

The time-dependent Schrödinger equation is a cornerstone of quantum physics and governs all phenomena of the microscopic world. However, despite its importance, its origin is still not widely appreciated and properly understood. We obtain the Schrödinger equation from a mathematical identity by a slight generalization of the formulation of classical statistical mechanics based on the Hamilton-J...

Schrödinger Equation for Nanoscience

The second order (in time) Schrödinger equation is proposed. The additional term (in comparison to Schrödinger equation) describes the interaction of particles with vacuum filled with virtual particle – antiparticle pairs (zitterbewegung).