Scattering properties of point dipole interactions

DOI10.1088/0305-4470/39/29/023zbMath1095.81061OpenAlexW2084459736MaRDI QIDQ5484437

A. V. Zolotaryuk, Sofia V. Iermakova, Peter Leth Christiansen

Publication date: 17 August 2006

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

Full work available at URL: https://doi.org/10.1088/0305-4470/39/29/023

Mathematics Subject Classification ID

(2)-body potential quantum scattering theory (81U05) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

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Conditions for realizing one-point interactions from a multi-layer structure model ⋮ Distribution theory for Schrödinger’s integral equation ⋮ Resonant transmission in one-dimensional quantum mechanics with two independent point interactions: Full parameter analysis ⋮ Effects of two successive parity-invariant point interactions on one-dimensional quantum transmission: resonance conditions for the parameter space ⋮ An exact treatment of the Dirac delta derivative potential ⋮ Bound states and point interactions of the one-dimensional pseudospin-one Hamiltonian ⋮ Boundary conditions for the states with resonant tunnelling across the \(\delta'\)-potential ⋮ INTRINSIC RESONANT TUNNELING PROPERTIES OF THE ONE-DIMENSIONAL SCHRÖDINGER OPERATOR WITH A DELTA DERIVATIVE POTENTIAL ⋮ Controllable resonant tunnelling through single-point potentials: a point triode ⋮ Non-relativistic and relativistic scattering by short-range potentials ⋮ GENERALIZED POINT INTERACTION AND TUNNELING TIMES ⋮ Schrödinger operators on star graphs with singularly scaled potentials supported near the vertices ⋮ Scattering data and bound states of a squeezed double-layer structure ⋮ Families of one-point interactions resulting from the squeezing limit of the sum of two- and three-delta-like potentials

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