The relation between the (N )- and (N−1)-electron atomic ground states

DOI10.1063/1.526774zbMath0578.47010OpenAlexW2086142687MaRDI QIDQ3700320

Philippe Briet

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526774

zbMATH Keywords

HamiltonianSchrödinger operatorground stateconjecture of Hoffman- Ostenhof and Morgan

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Cites Work

• Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
• Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. IV
• Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. V: Lower bounds and path integrals
• Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. VI: Asymptotics in the two-cluster region
• Geometric methods in the quantum many-body problem. Nonexistence of very negative ions
• A characterization of dilation-analytic potentials and vectors
• Geometric methods in multiparticle quantum systems
• Relatively compact interactions in many particle systems
• Asymptotics of atomic ground states: The relation between the ground state of helium and the ground state of He+

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