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Regularity of the (N-1)-particle electronic reduced density matrix for molecules with fixed nuclei and N electrons
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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 electronic collisions, we determine the regularity of the (N-1)-particle electronic reduced density matrix. Published in Letters in Mathematical Physics.
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Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions
For bound states of N-electron atoms and molecules, the eigenvalues of the K-particle reduced density matrix decay as n^{-(1+7/(3 min{K,N-K}))}.
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