Boundary conditions for the states with resonant tunnelling across the \(\delta'\)-potential
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Publication:2429640
DOI10.1016/j.physleta.2010.02.005zbMath1236.81094arXiv0905.0974OpenAlexW2022172213MaRDI QIDQ2429640
Publication date: 30 April 2012
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0905.0974
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Linear boundary value problems for ordinary differential equations (34B05)
Related Items (13)
Completeness and orthonormality of the energy eigenfunctions of the Dirac delta derivative potential ⋮ Distribution theory for Schrödinger’s integral equation ⋮ An exact treatment of the Dirac delta derivative potential ⋮ The physical interpretation of point interactions in one-dimensional relativistic quantum mechanics ⋮ 1D Schrödinger operators with short range interactions: two-scale regularization of distributional potentials ⋮ The infinite square well with a point interaction: a discussion on the different parameterizations ⋮ INTRINSIC RESONANT TUNNELING PROPERTIES OF THE ONE-DIMENSIONAL SCHRÖDINGER OPERATOR WITH A DELTA DERIVATIVE POTENTIAL ⋮ One-dimensional Schrödinger operators with singular potentials: a Schwartz distributional formulation ⋮ Non-relativistic and relativistic scattering by short-range potentials ⋮ GENERALIZED POINT INTERACTION AND TUNNELING TIMES ⋮ Schrödinger operators on star graphs with singularly scaled potentials supported near the vertices ⋮ 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
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