EXISTENCE OF GROUND STATES FOR NEGATIVE IONS AT THE BINDING THRESHOLD

DOI10.1142/S0129055X13500219zbMath1302.81099arXiv1301.5370OpenAlexW3103949763MaRDI QIDQ5411751

Robert Seiringer, Jacopo Bellazzini, Rupert L. Frank, Elliott H. Lieb

Publication date: 25 April 2014

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

Full work available at URL: https://arxiv.org/abs/1301.5370

zbMATH Keywords

Coulomb systemthreshold eigenvaluemany-body Schrödinger operator

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45) Applications of functional analysis in quantum physics (46N50)

Related Items (4)

Absence of a ground state for bosonic Coulomb systems with critical charge ⋮ Asymptotic behavior of two-electron expectation values in two-electron excited states ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2

Cites Work

• Unnamed Item
• Binding of polarons and atoms at threshold
• New bounds on the maximum ionization of atoms
• Bound on the ionization energy of large atoms
• Geometric methods in the quantum many-body problem. Nonexistence of very negative ions
• Bound states at threshold resulting from Coulomb repulsion
• A multiparticle Coulomb system with bound state at threshold
• Absence of an L²-eigenfunction at the bottom of the spectrum of the Hamiltonian of the hydrogen negative ion in the triplet S-sector

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