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abstract:
The talk describes model reduction in the multi-particle
time-dependent Schr\"odinger equation via the Dirac-Frenkel
variational approximation principle and then turns to the
multi-configuration time-dependent Hartree method (MCTDH) as an
important, practically very successful example. This approach can be
viewed as a dynamical low-rank approximation. The MCTDH nonlinear
equations of motion and their
numerical integration are discussed. The talk closes with an analysis
of the modelling error in the MCTDH method, showing the mechanisms
that may lead to convergence or failure. |
