An error analysis of the multi-configuration time-dependent Hartree method of quantum dynamics

The multiconfiguration time-dependent Hartree (MCTDH) method is a commonly employed to approximate the N-body time-dependent Schrödinger equation. The resulting MCTDHF equations read as a coupled system of ordinary differential equations and nonlinear partial differential equations. Since its introduction by Meyer and coworkers in 1990, the MCTDH method has been successfully applied to the study of various quantum phenomena (photodissociation, rovibrational spectra of molecules, nonadiabatic transitions, tunneling, laser control of molecular processes, ...). This highlight article provides the first error analysis of the MCTDH approximation.

Eric Cancès

An error analysis of the multi-configuration time-dependent Hartree method of quantum dynamics
Dajana Conte and Christian Lubich
ESAIM: M2AN 44 (2010) 759-780
DOI: http://dx.doi.org/10.1051/m2an/2010018