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- W3178678419 abstract "This thesis is a rigorous study of the N-body problem in Coulomb interaction and some of its approximations in non relativistic and relativistic quantum chemistry. For the N-body stationary or time-dependent Schrodinger problem, we generalize theoretical results of mixed regularity due to H. Yserentant, which have direct consequences on the complexity of numerical calculations. In the relativistic framework, the Dirac equation replaces the Schrodinger equation and a rigorous study of the exact N-body problem seems out of reach. Consequently, we only study an approximation, the Dirac-Fock model. We give the first existence result for stationary solutions of the Dirac-Fock equations in crystals." @default.
- W3178678419 created "2021-07-19" @default.
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- W3178678419 date "2020-12-18" @default.
- W3178678419 modified "2023-10-14" @default.
- W3178678419 title "The N-body problem in Quantum Chemistry : exact solution and approximations" @default.
- W3178678419 hasPublicationYear "2020" @default.
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