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dc.contributor.authorBrüning, J.en
dc.contributor.authorDobrokhotov, S. Y.en
dc.contributor.authorKatsnelson, M. I.en
dc.contributor.authorMinenkov, D. S.en
dc.date.accessioned2022-10-19T05:25:41Z-
dc.date.available2022-10-19T05:25:41Z-
dc.date.issued2016-
dc.identifier.citationSemiclassical asymptotic approximations and the density of states for the two-dimensional radially symmetric Schrödinger and Dirac equations in tunnel microscopy problems / J. Brüning, S. Y. Dobrokhotov, M. I. Katsnelson et al. // Theoretical and Mathematical Physics(Russian Federation). — 2016. — Vol. 186. — Iss. 3. — P. 333-345.en
dc.identifier.issn405779-
dc.identifier.otherhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84962626070&doi=10.1134%2fS004057791603003X&partnerID=40&md5=0236318cad0c45df9c9183852ea080cblink
dc.identifier.urihttp://elar.urfu.ru/handle/10995/118398-
dc.description.abstractWe consider the two-dimensional stationary Schrödinger and Dirac equations in the case of radial symmetry. A radially symmetric potential simulates the tip of a scanning tunneling microscope. We construct semiclassical asymptotic forms for generalized eigenfunctions and study the local density of states that corresponds to the microscope measurements. We show that in the case of the Dirac equation, the tip distorts the measured density of states for all energies. © 2016, Pleiades Publishing, Ltd.en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherMaik Nauka Publishing / Springer SBMen
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourceTheoretical and Mathematical Physics(Russian Federation)en
dc.subjectAXIALLY SYMMETRIC TWO-DIMENSIONAL DIRAC OPERATORen
dc.subjectAXIALLY SYMMETRIC TWO-DIMENSIONAL SCHRÖDINGER OPERATORen
dc.subjectDENSITY OF STATESen
dc.subjectGENERALIZED EIGENFUNCTIONen
dc.subjectSEMICLASSICAL APPROXIMATIONen
dc.subjectTUNNEL MICROSCOPYen
dc.titleSemiclassical asymptotic approximations and the density of states for the two-dimensional radially symmetric Schrödinger and Dirac equations in tunnel microscopy problemsen
dc.typeArticleen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.rsi26989558-
dc.identifier.doi10.1134/S004057791603003X-
dc.identifier.scopus84962626070-
local.contributor.employeeBrüning, J., Humboldt University, Berlin, Germanyen
local.contributor.employeeDobrokhotov, S.Y., Institute for Problems in Mechanics, RAS, Moscow, Russian Federation, Moscow Institute of Physics and Technology, Moscow, Russian Federationen
local.contributor.employeeKatsnelson, M.I., Institute for Molecules and Materials, Radboud University, Nijmegen, Netherlands, Ural Federal University, Ekaterinburg, Russian Federationen
local.contributor.employeeMinenkov, D.S., Institute for Problems in Mechanics, RAS, Moscow, Russian Federationen
local.description.firstpage333-
local.description.lastpage345-
local.issue3-
local.volume186-
dc.identifier.wos000373965600003-
local.contributor.departmentHumboldt University, Berlin, Germanyen
local.contributor.departmentInstitute for Problems in Mechanics, RAS, Moscow, Russian Federationen
local.contributor.departmentMoscow Institute of Physics and Technology, Moscow, Russian Federationen
local.contributor.departmentInstitute for Molecules and Materials, Radboud University, Nijmegen, Netherlandsen
local.contributor.departmentUral Federal University, Ekaterinburg, Russian Federationen
local.identifier.pure792819-
local.identifier.eid2-s2.0-84962626070-
local.identifier.wosWOS:000373965600003-
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