Controlling a resonant transmission across the δ′-potential: the inverse problem

DOI10.1088/1751-8113/44/37/375305zbMath1227.81175arXiv1202.1117OpenAlexW3104206216MaRDI QIDQ3173052

Yaroslav Zolotaryuk, A. V. Zolotaryuk

Publication date: 10 October 2011

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

Full work available at URL: https://arxiv.org/abs/1202.1117

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse scattering problems in quantum theory (81U40) Quantum control (81Q93)

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Conditions for realizing one-point interactions from a multi-layer structure model ⋮ Two-parametric ${\delta'}$ -interactions: approximation by Schrödinger operators with localized rank-two perturbations ⋮ TEMPERATURE-DEPENDENCE OF PROTON CONDUCTIVITY IN HYDROGEN-BONDED MOLECULAR SYSTEMS ⋮ Effects of two successive parity-invariant point interactions on one-dimensional quantum transmission: resonance conditions for the parameter space ⋮ Scattering of flexural waves in Euler–Bernoulli beams by short-range potentials ⋮ The infinite square well with a point interaction: a discussion on the different parameterizations ⋮ Schrödinger operators with singular rank-two perturbations and point interactions ⋮ One-dimensional Schrödinger operators with singular potentials: a Schwartz distributional formulation ⋮ Scattering data and bound states of a squeezed double-layer structure

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