Multilayer multiconfiguration time-dependent Hartree theory
Presenter
January 15, 2009
Keywords:
- Quantum dynamics
MSC:
- 82C10
Abstract
The multilayer multiconfiguration time-dependent Hartree (ML-MCTDH) theory
is a rigorous and powerful method to simulate quantum dynamics in complex
many-body problems. This approach extends the regular MCTDH theory of
Meyer, Manthe, and Cederbaum to include several dynamically contracted
layers whose equations of motion are determined from variational principle.
In this talk I will discuss the general derivation of the theory,
the scaling of the method, and the application of the theory to simulate
dynamics of electron transfer reactions in the condensed phase.
Furthermore, a new generalization of the theory, the ML-MCTDH theory with
second quantization (ML-MCTDH/SQ) will be presented to treat many-body
identical particle (fermion or boson) systems.