Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100150852> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W3100150852 endingPage "157" @default.
- W3100150852 startingPage "153" @default.
- W3100150852 abstract "When modeling a 2-d quantum network by a 1-d quantum graph one usually substitutes the 2-d vertex domains by the point-wise junctions with appropriate boundary conditions imposed on the boundary values $$ vec{psi}(a) = (psi_1 (a),, psi_2 (a),, psi_3 (a), ldots psi_n (a) ),,, vec{psi}' = (psi'_1 (a),, psi'_2 (a),, psi'_3 (a), ldots psi'_n (a) ) $$ of the wave-function on the leads $$ omega_1,, omega_2,ldots omega_n$$ at the junction a. In particular Datta proposed parametrization of the boundary condition, for symmetric T-junction, by some orthogonal 1-d projection $$ P_0: R_n to R_n $$ $$ P_0^{bot},,vec{psi}(a) = 0,quad P_0,,vec{psi}'(a) = 0. $$ We consider an arbitrary junction, $$ n geq 3$$ , of 2-d leads attached to a 2-d vertex domain $$Omega_{int}$$ , in case, when there exist a resonance eigenvalue $$lambda_0 = 2 m^* E_f ,hbar^{-2}$$ of the Schrödinger operator $$L_{int}$$ . We derive, from the first principles, energy-dependent boundary conditions for thin, quasi-1-d, network, and obtain from it, in the limit of zero temperature, Datta-type boundary condition, interpreting the projection P 0 in terms of the resonance eigenfunction $$psi_0: L_{int} psi_0 = lambda_0 psi_0$$ and geometry of the leads." @default.
- W3100150852 created "2020-11-23" @default.
- W3100150852 creator A5049817592 @default.
- W3100150852 creator A5053506648 @default.
- W3100150852 creator A5074101141 @default.
- W3100150852 date "2007-01-18" @default.
- W3100150852 modified "2023-09-23" @default.
- W3100150852 title "Boundary condition at the junction" @default.
- W3100150852 cites W189584561 @default.
- W3100150852 cites W1970847454 @default.
- W3100150852 cites W1974189094 @default.
- W3100150852 cites W2017038138 @default.
- W3100150852 cites W2022676893 @default.
- W3100150852 cites W2056955854 @default.
- W3100150852 cites W2060436859 @default.
- W3100150852 cites W2062939833 @default.
- W3100150852 cites W2067180195 @default.
- W3100150852 cites W2109570354 @default.
- W3100150852 cites W3102107394 @default.
- W3100150852 cites W3147650139 @default.
- W3100150852 doi "https://doi.org/10.1007/s10825-006-0085-7" @default.
- W3100150852 hasPublicationYear "2007" @default.
- W3100150852 type Work @default.
- W3100150852 sameAs 3100150852 @default.
- W3100150852 citedByCount "12" @default.
- W3100150852 countsByYear W31001508522013 @default.
- W3100150852 countsByYear W31001508522014 @default.
- W3100150852 countsByYear W31001508522015 @default.
- W3100150852 countsByYear W31001508522016 @default.
- W3100150852 crossrefType "journal-article" @default.
- W3100150852 hasAuthorship W3100150852A5049817592 @default.
- W3100150852 hasAuthorship W3100150852A5053506648 @default.
- W3100150852 hasAuthorship W3100150852A5074101141 @default.
- W3100150852 hasBestOaLocation W31001508522 @default.
- W3100150852 hasConcept C113603373 @default.
- W3100150852 hasConcept C114614502 @default.
- W3100150852 hasConcept C121332964 @default.
- W3100150852 hasConcept C128803854 @default.
- W3100150852 hasConcept C132525143 @default.
- W3100150852 hasConcept C134306372 @default.
- W3100150852 hasConcept C158693339 @default.
- W3100150852 hasConcept C182310444 @default.
- W3100150852 hasConcept C2778113609 @default.
- W3100150852 hasConcept C2779557605 @default.
- W3100150852 hasConcept C33923547 @default.
- W3100150852 hasConcept C36503486 @default.
- W3100150852 hasConcept C37914503 @default.
- W3100150852 hasConcept C62354387 @default.
- W3100150852 hasConcept C62520636 @default.
- W3100150852 hasConcept C80899671 @default.
- W3100150852 hasConceptScore W3100150852C113603373 @default.
- W3100150852 hasConceptScore W3100150852C114614502 @default.
- W3100150852 hasConceptScore W3100150852C121332964 @default.
- W3100150852 hasConceptScore W3100150852C128803854 @default.
- W3100150852 hasConceptScore W3100150852C132525143 @default.
- W3100150852 hasConceptScore W3100150852C134306372 @default.
- W3100150852 hasConceptScore W3100150852C158693339 @default.
- W3100150852 hasConceptScore W3100150852C182310444 @default.
- W3100150852 hasConceptScore W3100150852C2778113609 @default.
- W3100150852 hasConceptScore W3100150852C2779557605 @default.
- W3100150852 hasConceptScore W3100150852C33923547 @default.
- W3100150852 hasConceptScore W3100150852C36503486 @default.
- W3100150852 hasConceptScore W3100150852C37914503 @default.
- W3100150852 hasConceptScore W3100150852C62354387 @default.
- W3100150852 hasConceptScore W3100150852C62520636 @default.
- W3100150852 hasConceptScore W3100150852C80899671 @default.
- W3100150852 hasIssue "1-3" @default.
- W3100150852 hasLocation W31001508521 @default.
- W3100150852 hasLocation W31001508522 @default.
- W3100150852 hasOpenAccess W3100150852 @default.
- W3100150852 hasPrimaryLocation W31001508521 @default.
- W3100150852 hasRelatedWork W1977290209 @default.
- W3100150852 hasRelatedWork W2080796943 @default.
- W3100150852 hasRelatedWork W2190074848 @default.
- W3100150852 hasRelatedWork W2897168179 @default.
- W3100150852 hasRelatedWork W2904561294 @default.
- W3100150852 hasRelatedWork W2997019852 @default.
- W3100150852 hasRelatedWork W3011136842 @default.
- W3100150852 hasRelatedWork W4298743592 @default.
- W3100150852 hasRelatedWork W4302419125 @default.
- W3100150852 hasRelatedWork W4310148807 @default.
- W3100150852 hasVolume "6" @default.
- W3100150852 isParatext "false" @default.
- W3100150852 isRetracted "false" @default.
- W3100150852 magId "3100150852" @default.
- W3100150852 workType "article" @default.