For Coulombic many-electron eigenfunctions, the occupation-number eigenvalues decay at least as k^{-8/3} (density matrix) and k^{-2} (kinetic energy matrix), improving to k^{-10/3} and k^{-8/3} when the wavefunction vanishes at electron-electron coalescence.
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Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix
For Coulombic many-electron eigenfunctions, the occupation-number eigenvalues decay at least as k^{-8/3} (density matrix) and k^{-2} (kinetic energy matrix), improving to k^{-10/3} and k^{-8/3} when the wavefunction vanishes at electron-electron coalescence.