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math-ph2026★ 31 cited
On the mathematical treatment of the Born-Oppenheimer approximation
Thierry Jecko
Motivated by a paper by B.T. Sutcliffe and R.G. Woolley, we present the main ideas used by mathematicians to show the accuracy of the Born-Oppenheimer approximation for molecules.…
math-ph2025
Regularity of the (N-1)-particle electronic reduced density matrix for molecules with fixed nuclei and N electrons
Thierry Jecko, Camille Noûs
We consider an electronic bound state of the usual, non-relativistic, molecular Hamiltonian with Coulomb interactions, fixed nuclei, and N electrons (N>1). Near appropriate electro…
math-ph2024
Limited regularity of a specific electronic reduced density matrix for molecules
Thierry Jecko, Camille Noûs
We consider an electronic bound state of the usual, non-relativistic, molecular Hamiltonian with Coulomb interactions, fixed nuclei, and N electrons (N>1). Near appropriate electro…