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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 the Dirac-Frenkel
time-dependent variational principle,
consist of a coupled system of low-dimensional
nonlinear partial differential...
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...
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