Dynamical ionization bounds for atoms

DOI10.2140/APDE.2013.6.1183zbMath1284.35404arXiv1207.6898OpenAlexW3098217907MaRDI QIDQ394163

Mathieu Lewin, Enno Lenzmann

Publication date: 24 January 2014

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6898

zbMATH Keywords

commutatorRAGE theorempositiveHartree equationionization bound

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (8)

The maximal negative ion of the time-dependent Thomas-Fermi and the Vlasov atom ⋮ Blow-up of solutions to the Patlak-Keller-Segel equation in dimension \(\nu \geq 2\) ⋮ Existence of Hartree-Fock excited states for atoms and molecules ⋮ The ionization problem ⋮ The maximal excess charge in Müller density-matrix-functional theory ⋮ On nonlinear Schrödinger equations with repulsive inverse-power potentials ⋮ A nonlinear Schrödinger equation with Coulomb potential ⋮ Dispersive estimates for nonlinear Schrödinger equations with external potentials

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