On the infinitude of non–zero eigenvalues of the single–electron density matrix for atoms and molecules

DOI10.1098/rspa.2002.1027zbMath1046.81029OpenAlexW1987648717MaRDI QIDQ4470762

Gero Friesecke

Publication date: 15 June 2004

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2002.1027

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45) Molecular physics (81V55)

Related Items (11)

One particle equations for many particle quantum systems: The MCTHDF method ⋮ Solutions of the multiconfiguration Dirac–Fock equations ⋮ Eigenvalue asymptotics for the one-particle kinetic energy density operator ⋮ Comment on `Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry', by C. Argaez and M. Melgaard ⋮ Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry ⋮ On the spectrum of the one-particle density matrix ⋮ Setting and analysis of the multi-configuration time-dependent Hartree-Fock equations ⋮ Hohenberg-Kohn theorems for interactions, spin and temperature ⋮ Global-in-time existence of solutions to the multiconfiguration time-dependent Hartree-Fock equations: a sufficient condition ⋮ Eigenvalue estimates for the one-particle density matrix ⋮ Eigenvalue asymptotics for the one-particle density matrix

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