Eigenvalue estimates for the one-particle density matrix

@article{Sobolev2022EigenvalueEF,
  title={Eigenvalue estimates for the one-particle density matrix},
  author={Alexander V. Sobolev},
  journal={Journal of Spectral Theory},
  year={2022}
}
  • A. Sobolev
  • Published 25 August 2020
  • Mathematics
  • Journal of Spectral Theory
It is shown that the eigenvalues $\lambda_k, k=1, 2, \dots,$ of the one-particle density matrix satisfy the bound $\lambda_k\le C k^{-8/3}$ with a positive constant $C$. 

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  • A. Sobolev
  • Physics
    Journal of Functional Analysis
  • 2022

Eigenvalue asymptotics for the one-particle density matrix

describing an atom withN particles (e.g. electrons) with coordinates x = (x1, x2, . . . , xN ), xk ∈ R, k = 1, 2, . . . , N , and a nucleus with charge Z > 0. The notation ∆k is used for the

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  • 2022

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Eigenvalue asymptotics for the one-particle density matrix

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