Linear Schrödinger evolution equations with moving Coulomb singularities

DOI10.1016/J.JDE.2013.01.017zbMath1260.35163OpenAlexW2005731621MaRDI QIDQ1943482

Kentarou Yoshii, Noboru Okazawa

Publication date: 20 March 2013

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2013.01.017

zbMATH Keywords

Schrödinger equationlinear evolution equationshyperbolic typeexistence and uniqueness of \(C^{1}\) solutionsmoving Coulomb singularitiespotentials with singularity at infinity

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Time-dependent Schrödinger equations and Dirac equations (35Q41) Strong solutions to PDEs (35D35)

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Unitary propagators for N-body Schrödinger equations in external field ⋮ A Dirac field interacting with point nuclear dynamics ⋮ Scattering theory for semilinear Schrödinger equations with an inverse-square potential via energy methods

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