A multiparticle Coulomb system with bound state at threshold

DOI10.1088/0305-4470/16/6/007zbMath0519.35024OpenAlexW2038273959MaRDI QIDQ3669822

Maria Hoffmann-Ostenhof, Thomas Hoffmann-Ostenhof, Barry Simon

Publication date: 1983

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

Full work available at URL: https://semanticscholar.org/paper/fdafe4ae80170373a135f924be370c52068ac471

zbMATH Keywords

existenceHamiltonianembedded eigenvaluesHarnack's inequalityBanach-Alaoglu's theorembound state at thresholdmultiparticle Coulomb systemsubharmonic comparison

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Spectral theory and eigenvalue problems for partial differential equations (35P99) Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (10)

Scattering theory for long-range systems at threshold ⋮ Absence of a ground state for bosonic Coulomb systems with critical charge ⋮ Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Binding of polarons and atoms at threshold ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ EXISTENCE OF GROUND STATES FOR NEGATIVE IONS AT THE BINDING THRESHOLD ⋮ A comparative study of two-electron systems with screened Coulomb potentials ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ Decay rates of bound states at the spectral threshold of multi-particle Schrödinger operators ⋮ Bound states at threshold resulting from Coulomb repulsion

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