Point-like Rashba interactions as singular self-adjoint extensions of the Schrödinger operator in one dimension

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dc.contributor.authorKulinskyi, Volodymyr L.en
dc.contributor.authorPanchenko, Dmitry Yu.en
dc.contributor.authorКулінський, Володимир Леонідовичuk
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.en
dc.identifier.citationKulinskii V. L. Point-like Rashba interactions as singular self-adjoint extensions of the Schrödinger operator in one dimension / V. L. Kulinskii, D. Yu. Panchenko // Frontiers in Physics. – Vol. 7. – Article 44.en
dc.identifier.doihttps://doi.org/10.3389/fphy.2019.00044
dc.identifier.doihttps://doi.org/10.3389/fphy.2019.00044
dc.identifier.urihttps://dspace.onu.edu.ua/handle/123456789/33036
dc.language.isoen
dc.subjectSchrödinger operatoren
dc.subjectself-adjoint extensionen
dc.subjectRashba interactionen
dc.subjectspin-flipen
dc.subjectPauli Hamiltonianen
dc.subjectDirac Hamiltonianen
dc.titlePoint-like Rashba interactions as singular self-adjoint extensions of the Schrödinger operator in one dimensionen
dc.typeArticleen
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