Point-Like Rashba Interactions as Singular Self-Adjoint Extensions of the Schrödinger Operator in One Dimension

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dc.contributor.authorKulinskii, Vladimi L.
dc.contributor.authorPanchenko, Dmitry Yu.
dc.contributor.authorКулінський, Володимир Леонідович
dc.contributor.authorКулинский, Владимир Леонидович
dc.contributor.authorKulinskyi, Volodymyr L.
dc.date.accessioned2022-06-03T18:12:36Z
dc.date.available2022-06-03T18:12:36Z
dc.date.issued2019
dc.description.abstractWe consider singular self-adjoint extensions for the Schrödinger operator of spin-1/2 particle in one dimension. The corresponding boundary conditions at a singular point are obtained. There are boundary conditions with the spin-flip mechanism, i.e., for these point-like interactions the spin operator does not commute with the Hamiltonian. One of these extensions is the analog of zero-range δ-potential. The other one is the analog of so called δ(1)-interaction. We show that in physical terms such contact interactions can be identified as the point-like analogs of Rashba Hamiltonian (spin-momentum coupling) due to material heterogeneity of different types. The dependence of the transmission coefficient of some simple devices on the strength of the Rashba coupling parameter is discussed. Additionally, we show how these boundary conditions can be obtained from the Dirac Hamiltonian in the non-relativistic limit.uk_UA
dc.identifier.citationFrontiers in Physicsuk_UA
dc.identifier.doihttps://doi.org/10.3389/fphy.2019.00044
dc.identifier.urihttps://dspace.onu.edu.ua/handle/123456789/33036
dc.language.isodeuk_UA
dc.relation.ispartofseries;Vol. 7, Article 44.
dc.subjectSchrödinger operatoruk_UA
dc.subjectself-adjoint extensionuk_UA
dc.subjectRashba interactionuk_UA
dc.subjectspin-flipuk_UA
dc.subjectPauli Hamiltonianuk_UA
dc.subjectDirac Hamiltonianuk_UA
dc.titlePoint-Like Rashba Interactions as Singular Self-Adjoint Extensions of the Schrödinger Operator in One Dimensionuk_UA
dc.typeArticleuk_UA
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36. Kulinskii, V. L. and D. Y. Panchenko. 2019. Point-Like Rashba Interactions as Singular Self-Adjoint.pdf
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