Hohenberg-Kohn theorem for Coulomb type systems and its generalization

DOI10.1007/s10910-012-0061-3zbMath1308.81197arXiv1108.4517OpenAlexW2172246615MaRDI QIDQ1934328

Aihui Zhou

Publication date: 28 January 2013

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4517

zbMATH Keywords

fundamental theorem of algebradensity functional theoryelectronic structureCoulomb systemHohenberg-Kohn

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Statistical mechanics of solids (82D20) Molecular physics (81V55) Variational principles of physics (49S05)

Related Items (6)

Unique continuation for many-body Schrödinger operators and the Hohenberg-Kohn theorem. II: The Pauli Hamiltonian ⋮ A mathematical aspect of Hohenberg-Kohn theorem ⋮ Mathematical methods in quantum chemistry. Abstracts from the workshop held March 18--24, 2018 ⋮ Unique continuation for many-body Schrödinger operators and the Hohenberg-Kohn theorem ⋮ Variational principle, Hohenberg-Kohn theorem, and density function origin shifts ⋮ Eigenfunction behavior and adaptive finite element approximations of nonlinear eigenvalue problems in quantum physics

Cites Work

• Unnamed Item
• Analytic structure of many-body Coulombic wave functions
• Analyticity of the density of electronic wavefunctions
• On the eigenfunctions of many-particle systems in quantum mechanics
• A forgotten paper on the fundamental theorem of algebra
• Electronic Structure

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