Point interactions in two and three dimensions as models of small scatterers

DOI10.1016/0375-9601(96)00640-8zbMath0972.81532arXivcond-mat/9607016OpenAlexW1482396997MaRDI QIDQ1968006

Pavel Exner, Petr Šeba

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9607016

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)

Related Items (9)

Superscars in the Šeba billiard ⋮ Quantum chaos for point scatterers on flat tori ⋮ Boundary conditions for the states with resonant tunnelling across the \(\delta'\)-potential ⋮ Resonance statistics in a microwave cavity with a thin antenna ⋮ Exact solution of the two-dimensional scattering problem for a class of δ-function potentials supported on subsets of a line ⋮ Quantum transport in a crystal with short-range interactions: the Boltzmann-Grad limit ⋮ On the phase-space distribution of Bloch eigenmodes for periodic point scatterers ⋮ Persistent currents due to point obstacles ⋮ GENERALIZED POINT INTERACTION AND TUNNELING TIMES

Cites Work

• Unnamed Item
• Some remarks on the \(\delta\) '-interaction in one dimension
• A mathematical model of heavy-quarkonia mesonic decays
• Contact interactions on graph superlattices
• Periodic Schrödinger operators with large gaps and Wannier-Stark ladders
• Small disks and semiclassical resonances

This page was built for publication: Point interactions in two and three dimensions as models of small scatterers