On the time-dependent Hartree-Fock equations coupled with a classical nuclear dynamics

  title={On the time-dependent Hartree-Fock equations coupled with a classical nuclear dynamics},
  author={Eric Canc{\`e}s and Claude Le BrisCERMICS},
We prove a global-in-time existence and uniqueness result for the Cauchy problem in the setting of some model of Quantum Molecular Chemistry. The model we are concerned with consists of a coupling between the time-dependent Hartree-Fock equations (for the electrons) and the classical Newtonian dynamics (for the nuclei). The proof combines semigroup techniques and the Schauder xed-point theorem. We also extend our result in order to treat the case of a molecule subjected to a time-dependent… CONTINUE READING

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