On the mixed regularity of $N$-body Coulombic wavefunctions
Résumé
In this paper, we prove a new mixed regularity of Coulombic wavefunction taking into account the Pauli exclusion principle. We also study the hyperbolic cross space approximation of eigenfunctions associated with this new regularity, and deduce the corresponding error estimates in $L^2$-norm and $H^1$-semi-norm. The proofs are based on the study of extended Hardy-type inequalities for Coulomb-type potentials.
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