Quantum waveguides with a lateral semitransparent barrier: spectral and scattering properties

DOI10.1088/0305-4470/32/24/312zbMath0969.81012arXivcond-mat/9904379OpenAlexW1974115237MaRDI QIDQ4951097

D. Kreičiřík, Pavel Exner

Publication date: 1 May 2000

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9904379

zbMATH Keywords

eigenvalueseigenfunctionsessential spectrumhomogeneous magnetic fieldground state energycylindrical surfacemode-matching technique\(\delta\) potentialeffective coupling functioninfinite straight Dirichlet strip

Mathematics Subject Classification ID

Quantum computation (81P68) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum optics (81V80) Computational methods for problems pertaining to quantum theory (81-08) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (5)

Asymptotic and numerical analysis of slowly varying two-dimensional quantum waveguides ⋮ Straight quantum layer with impurities inducing resonances ⋮ Waveguides with combined Dirichlet and Robin boundary conditions ⋮ Separation of variables in deformed cylinders ⋮ On the spectrum of curved planar waveguides

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