Matches in SemOpenAlex for { <https://semopenalex.org/work/W3099585149> ?p ?o ?g. }
- W3099585149 endingPage "64" @default.
- W3099585149 startingPage "49" @default.
- W3099585149 abstract "We consider Dirichlet-to-Neumann maps associated with (not necessarily self-adjoint) Schrödinger operators describing nonlocal interactions in $${L^2(Omega; d^n x)}$$ , where $${Omega subset mathbb{R}^n}$$ , $${ninmathbb{N}}$$ , $${ngeq 2}$$ , are open sets with a compact, nonempty boundary $${partialOmega}$$ satisfying certain regularity conditions. As an application we describe a reduction of a certain ratio of Fredholm perturbation determinants associated with operators in $${L^2(Omega; d^{n} x)}$$ to Fredholm perturbation determinants associated with operators in $${L^2(partialOmega; d^{n-1} sigma)}$$ , $${ninmathbb{N}}$$ , $${ngeq 2}$$ . This leads to an extension of a variant of a celebrated formula due to Jost and Pais, which reduces the Fredholm perturbation determinant associated with a Schrödinger operator on the half-line $${(0,infty)}$$ , in the case of local interactions, to a simple Wronski determinant of appropriate distributional solutions of the underlying Schrödinger equation." @default.
- W3099585149 created "2020-11-23" @default.
- W3099585149 creator A5004818206 @default.
- W3099585149 creator A5007268689 @default.
- W3099585149 creator A5053434924 @default.
- W3099585149 date "2009-08-08" @default.
- W3099585149 modified "2023-10-11" @default.
- W3099585149 title "On Dirichlet-to-Neumann Maps, Nonlocal Interactions, and Some Applications to Fredholm Determinants" @default.
- W3099585149 cites W1558045032 @default.
- W3099585149 cites W1794161027 @default.
- W3099585149 cites W1967881201 @default.
- W3099585149 cites W1981034891 @default.
- W3099585149 cites W1992673972 @default.
- W3099585149 cites W1994297820 @default.
- W3099585149 cites W2002183561 @default.
- W3099585149 cites W2008887804 @default.
- W3099585149 cites W2022291293 @default.
- W3099585149 cites W2022928411 @default.
- W3099585149 cites W2024042634 @default.
- W3099585149 cites W2024966713 @default.
- W3099585149 cites W2033831075 @default.
- W3099585149 cites W2045107816 @default.
- W3099585149 cites W2052950487 @default.
- W3099585149 cites W2054291137 @default.
- W3099585149 cites W2056730806 @default.
- W3099585149 cites W2070706570 @default.
- W3099585149 cites W2086051675 @default.
- W3099585149 cites W2333750306 @default.
- W3099585149 cites W4241277051 @default.
- W3099585149 cites W4301509559 @default.
- W3099585149 doi "https://doi.org/10.1007/s00601-009-0065-0" @default.
- W3099585149 hasPublicationYear "2009" @default.
- W3099585149 type Work @default.
- W3099585149 sameAs 3099585149 @default.
- W3099585149 citedByCount "0" @default.
- W3099585149 crossrefType "journal-article" @default.
- W3099585149 hasAuthorship W3099585149A5004818206 @default.
- W3099585149 hasAuthorship W3099585149A5007268689 @default.
- W3099585149 hasAuthorship W3099585149A5053434924 @default.
- W3099585149 hasBestOaLocation W30995851492 @default.
- W3099585149 hasConcept C104317684 @default.
- W3099585149 hasConcept C110167270 @default.
- W3099585149 hasConcept C114614502 @default.
- W3099585149 hasConcept C121332964 @default.
- W3099585149 hasConcept C134306372 @default.
- W3099585149 hasConcept C158448853 @default.
- W3099585149 hasConcept C163681178 @default.
- W3099585149 hasConcept C169214877 @default.
- W3099585149 hasConcept C17020691 @default.
- W3099585149 hasConcept C177918212 @default.
- W3099585149 hasConcept C182310444 @default.
- W3099585149 hasConcept C185592680 @default.
- W3099585149 hasConcept C196267783 @default.
- W3099585149 hasConcept C202444582 @default.
- W3099585149 hasConcept C27016315 @default.
- W3099585149 hasConcept C2776333733 @default.
- W3099585149 hasConcept C2779557605 @default.
- W3099585149 hasConcept C2779560616 @default.
- W3099585149 hasConcept C33923547 @default.
- W3099585149 hasConcept C37914503 @default.
- W3099585149 hasConcept C518188847 @default.
- W3099585149 hasConcept C55493867 @default.
- W3099585149 hasConcept C62520636 @default.
- W3099585149 hasConcept C86339819 @default.
- W3099585149 hasConcept C89285879 @default.
- W3099585149 hasConceptScore W3099585149C104317684 @default.
- W3099585149 hasConceptScore W3099585149C110167270 @default.
- W3099585149 hasConceptScore W3099585149C114614502 @default.
- W3099585149 hasConceptScore W3099585149C121332964 @default.
- W3099585149 hasConceptScore W3099585149C134306372 @default.
- W3099585149 hasConceptScore W3099585149C158448853 @default.
- W3099585149 hasConceptScore W3099585149C163681178 @default.
- W3099585149 hasConceptScore W3099585149C169214877 @default.
- W3099585149 hasConceptScore W3099585149C17020691 @default.
- W3099585149 hasConceptScore W3099585149C177918212 @default.
- W3099585149 hasConceptScore W3099585149C182310444 @default.
- W3099585149 hasConceptScore W3099585149C185592680 @default.
- W3099585149 hasConceptScore W3099585149C196267783 @default.
- W3099585149 hasConceptScore W3099585149C202444582 @default.
- W3099585149 hasConceptScore W3099585149C27016315 @default.
- W3099585149 hasConceptScore W3099585149C2776333733 @default.
- W3099585149 hasConceptScore W3099585149C2779557605 @default.
- W3099585149 hasConceptScore W3099585149C2779560616 @default.
- W3099585149 hasConceptScore W3099585149C33923547 @default.
- W3099585149 hasConceptScore W3099585149C37914503 @default.
- W3099585149 hasConceptScore W3099585149C518188847 @default.
- W3099585149 hasConceptScore W3099585149C55493867 @default.
- W3099585149 hasConceptScore W3099585149C62520636 @default.
- W3099585149 hasConceptScore W3099585149C86339819 @default.
- W3099585149 hasConceptScore W3099585149C89285879 @default.
- W3099585149 hasIssue "1-2" @default.
- W3099585149 hasLocation W30995851491 @default.
- W3099585149 hasLocation W30995851492 @default.
- W3099585149 hasLocation W30995851493 @default.
- W3099585149 hasLocation W30995851494 @default.
- W3099585149 hasOpenAccess W3099585149 @default.
- W3099585149 hasPrimaryLocation W30995851491 @default.
- W3099585149 hasRelatedWork W1669304751 @default.