Two-body scattering on a graph and application to simple nanoelectronic devices

Show simple item record Melnikov, Yu.B. en Pavlov, B.S. en 2009-09-03T04:40:00Z en 2009-09-03T04:40:00Z en 1995 en
dc.identifier.citation Journal of Mathematical Physics 36 (6), 2813-2825. 1995 en
dc.identifier.issn 0022-2488 en
dc.identifier.other eid=2-s2.0-21844487438 en
dc.identifier.uri en
dc.description An open access copy of this article is available and complies with the copyright holder/publisher conditions. en
dc.description.abstract The two-body system on a graph with one junction is considered. The effective three-body scattering problem turns out to be exactly solvable for pointwise interactions. Additional degrees of freedom corresponding to a dynamics of some structure (e.g., an atomic cluster) located in the junction (point of common contact) of three thin electrodes are considered. These degrees of freedom bring effective energy-dependent interaction into the effective Schrodinger equation in the scattering channel. The wave function of the system is constructed in the explicit form using the extension theory methods. The obtained results are applied to the qualitative description of a simple three-electrode nanoelectronic device. The perturbation theory approach based on the analysis of the Liouville equation is suggested for calculation of the conductivity for such a device in terms of the obtained wave function. en
dc.publisher American Institute of Physics (AIP) en
dc.relation.ispartofseries Journal of Mathematical Physics en
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from en
dc.rights.uri en
dc.source.uri en
dc.title Two-body scattering on a graph and application to simple nanoelectronic devices en
dc.type Journal Article en
dc.subject.marsden Fields of Research::240000 Physical Sciences en
dc.identifier.doi 10.1063/1.531068 en
pubs.issue 6 en
pubs.begin-page 2813 en
pubs.volume 36 en
dc.description.version VoR - Version of Record en
dc.rights.holder Copyright: 1995 American Institute of Physics. en
pubs.end-page 2825 en
dc.rights.accessrights en

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