Wave function shredding by sparse quantum barriers

DOI10.1016/S0375-9601(00)00690-3zbMath1135.81336arXivquant-ph/0004058OpenAlexW3100612354WikidataQ127952274 ScholiaQ127952274MaRDI QIDQ2644113

Pavel Exner, Petr Šeba, Taksu Cheon

Publication date: 7 September 2007

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0004058

zbMATH Keywords

singular spectrumquantum transportone-dimensional systemsparse potentialsensitive dependence on initial state

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum scattering theory (81U99)

Related Items (6)

An exact treatment of the Dirac delta derivative potential ⋮ Boundary conditions for the states with resonant tunnelling across the \(\delta'\)-potential ⋮ Green's function approach for quantum graphs: an overview ⋮ One-dimensional Schrödinger operators with singular potentials: a Schwartz distributional formulation ⋮ GENERALIZED POINT INTERACTION AND TUNNELING TIMES ⋮ Schrödinger operators on star graphs with singularly scaled potentials supported near the vertices

Cites Work

• Singular continuous measures in scattering theory
• Operators with singular continuous spectrum, V. Sparse potentials
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