A Brief Review on Point Interactions

DOI10.1007/978-3-540-78547-7_7zbMath1148.81009OpenAlexW1564802984MaRDI QIDQ3517282

Rodolfo Figari, Alessandro Teta, Gianfausto Dell'Antonio

Publication date: 12 August 2008

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-78547-7_7

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) General theory of partial differential operators (47F05) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Blow-up in context of PDEs (35B44)

Related Items (7)

Interior-boundary conditions for the Dirac equation at point sources in three dimensions ⋮ Particle creation at a point source by means of interior-boundary conditions ⋮ \(L^p\)-boundedness of wave operators for the three-dimensional multi-centre point interaction ⋮ Multipoint scatterers with bound states at zero energy ⋮ Unnamed Item ⋮ A characterization of singular Schrödinger operators on the half-line ⋮ A geometric approximation of δ-interactions by Neumann Laplacians

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