## Abstract

The multiconfiguration time-dependent Hartree-Fock (MCTDHF for short) system is an approximation of the linear many-particle Schrödinger equation with a binary interaction potential by nonlinear "one-particle" equations. MCTDHF methods are widely used for numerical calculations of the dynamics of few-electron systems in quantum physics and quantum chemistry, but the time-dependent case still poses serious open problems for the analysis, e.g. in the sense that global-in-time existence of solutions is not proved yet. In this letter we present the first result ever where global existence is proved under a condition on the initial datum that it has to be somewhat close to the "ground state".

Original language | English (US) |
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Pages (from-to) | 147-152 |

Number of pages | 6 |

Journal | Applied Mathematics Letters |

Volume | 22 |

Issue number | 2 |

DOIs | |

State | Published - Feb 2009 |

Externally published | Yes |

## Keywords

- Few-electron systems
- Ground State
- Linear N-particle Schrödinger equation
- MCTDHF system

## ASJC Scopus subject areas

- Applied Mathematics