Real Analyticity of Solutions of Hamilton's Equation.
Regularity of the multi-configuration time-dependent Hartree approximation in quantum molecular dynamics
We discuss the multi-configuration time-dependent Hartree (MCTDH) method for the approximation of the time-dependent Schrödinger equation in quantum molecular dynamics. This method approximates the high-dimensional nuclear wave function by a linear combination of products of functions depending only on a single degree of freedom. The equations of motion, obtained via the Dirac-Frenkel time-dependent variational principle, consist of a coupled system of low-dimensional nonlinear partial differential...
Removable singularities of Yang-Mills fields in
Résurgence d'un thème de Huygens-Fresnel