The infinite square well with a point interaction: a discussion on the different parameterizations

DOI10.1007/s10773-013-1959-7zbMath1304.81080arXiv1502.02983OpenAlexW3101560070MaRDI QIDQ480724

F. H. Maldonado-Villamizar, Manuel Gadella, M. Ángeles García-Ferrero, Sergio González-Martín

Publication date: 11 December 2014

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.02983

zbMATH Keywords

parameterizations of self adjoint extensionspoint potentials

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (8)

Conditions for realizing one-point interactions from a multi-layer structure model ⋮ On Schrödinger operators modified by \(\delta\) interactions ⋮ Effects of two successive parity-invariant point interactions on one-dimensional quantum transmission: resonance conditions for the parameter space ⋮ On the spectrum of the one-particle Schrödinger operator with point interaction ⋮ On the spectrum of the two-particle Schrödinger operator with point interaction ⋮ Controllable resonant tunnelling through single-point potentials: a point triode ⋮ 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

Cites Work

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• Distribution theory for discontinuous test functions and differential operators with generalized coefficients
• Boundary conditions for the states with resonant tunnelling across the \(\delta'\)-potential
• Controlling a resonant transmission across the δ′-potential: the inverse problem
• Transmission–reflection problem with a potential of the form of the derivative of the delta function
• Schroedinger operators with (\alpha\delta'+\beta \delta)-like potentials: norm resolvent convergence and solvable models

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