Tunneling resonances in systems without a classical trapping

DOI10.1063/1.4773098zbMath1280.81035arXiv1210.0449OpenAlexW3098451914MaRDI QIDQ5396262

A. M. Golovina, Pavel Exner, Denis I. Borisov

Publication date: 5 February 2014

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

Full work available at URL: https://arxiv.org/abs/1210.0449

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (2)-body potential quantum scattering theory (81U05) Quantum dots, waveguides, ratchets, etc. (81Q37) Ion traps (78A37)

Related Items (8)

Straight quantum layer with impurities inducing resonances ⋮ Analytic continuation of resolvents of elliptic operators in a multidimensional cylinder ⋮ On occurrence of resonances from multiple eigenvalues of the Schrödinger operator in a cylinder with distant perturbations ⋮ Eigenvalue inequalities and absence of threshold resonances for waveguide junctions ⋮ On finitely many resonances emerging under distant perturbations in multi-dimensional cylinders ⋮ On infinite system of resonance and eigenvalues with exponential asymptotics generated by distant perturbations ⋮ Defect Resonances of Truncated Crystal Structures ⋮ Spacing gain and absorption in a simple $ \newcommand{\PT}{\mathcal{PT}} \PT$ -symmetric model: spectral singularities and ladders of eigenvalues and resonances

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