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- W2625874396 abstract "The derivation of effective evolution equations is central to the study of non-stationary quantum many-body sytems, and widely used in contexts such as superconductivity, nuclear physics, Bose-Einstein condensation and quantum chemistry. We reformulate the Dirac-Frenkel approximation principle in terms of reduced density matrices, and apply it to fermionic and bosonic many-body systems. We obtain the Bogoliubov-de-Gennes and Hartree-Fock-Bogoliubov equations, respectively. While we do not prove quantitative error estimates, our formulation does show that the approximation is optimal within the class of quasifree states. Furthermore, we prove well-posedness of the Bogoliubov-de-Gennes equations in energy space and discuss conserved quantities." @default.
- W2625874396 created "2017-06-23" @default.
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- W2625874396 date "2018-01-24" @default.
- W2625874396 modified "2023-10-16" @default.
- W2625874396 title "The Dirac–Frenkel Principle for Reduced Density Matrices, and the Bogoliubov–de Gennes Equations" @default.
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- W2625874396 doi "https://doi.org/10.1007/s00023-018-0644-z" @default.
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