Matches in SemOpenAlex for { <https://semopenalex.org/work/W2244321223> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2244321223 abstract "For the spherical Laplacian on the sphere and for the Dirichlet Laplacian in the square, Antonie Stern claimed in her PhD thesis (1924) the existence of an infinite sequence of eigenvalues whose corresponding eigenspaces contain an eigenfunction with exactly two nodal domains. These results were given complete proofs respectively by Hans Lewy in 1977, and the authors in 2014 (see also Gauthier-Shalom–Przybytkowski (2006)). In this paper, we obtain similar results for the two dimensional isotropic quantum harmonic oscillator. In the opposite direction, we construct an infinite sequence of regular eigenfunctions with many nodal domains. We finally provide bounds for the length of the nodal set of an eigenfunction with energy $lambda$ in the classically permitted region ${ |x| < sqrt{lambda} }$." @default.
- W2244321223 created "2016-06-24" @default.
- W2244321223 creator A5020675514 @default.
- W2244321223 creator A5076342883 @default.
- W2244321223 date "2015-06-03" @default.
- W2244321223 modified "2023-09-27" @default.
- W2244321223 title "On the nodal patterns of the 2D isotropic quantum harmonic oscillator" @default.
- W2244321223 cites W1680579736 @default.
- W2244321223 cites W1964276313 @default.
- W2244321223 cites W1964956167 @default.
- W2244321223 cites W1999528948 @default.
- W2244321223 cites W2006698226 @default.
- W2244321223 cites W2038024413 @default.
- W2244321223 cites W2085742675 @default.
- W2244321223 cites W2388235331 @default.
- W2244321223 cites W2656397757 @default.
- W2244321223 cites W3104710463 @default.
- W2244321223 cites W3104967885 @default.
- W2244321223 cites W651197039 @default.
- W2244321223 hasPublicationYear "2015" @default.
- W2244321223 type Work @default.
- W2244321223 sameAs 2244321223 @default.
- W2244321223 citedByCount "0" @default.
- W2244321223 crossrefType "posted-content" @default.
- W2244321223 hasAuthorship W2244321223A5020675514 @default.
- W2244321223 hasAuthorship W2244321223A5076342883 @default.
- W2244321223 hasConcept C105702510 @default.
- W2244321223 hasConcept C114614502 @default.
- W2244321223 hasConcept C121332964 @default.
- W2244321223 hasConcept C127934551 @default.
- W2244321223 hasConcept C128803854 @default.
- W2244321223 hasConcept C134306372 @default.
- W2244321223 hasConcept C158693339 @default.
- W2244321223 hasConcept C164886730 @default.
- W2244321223 hasConcept C165700671 @default.
- W2244321223 hasConcept C184050105 @default.
- W2244321223 hasConcept C202444582 @default.
- W2244321223 hasConcept C2778112365 @default.
- W2244321223 hasConcept C2778113609 @default.
- W2244321223 hasConcept C33923547 @default.
- W2244321223 hasConcept C37914503 @default.
- W2244321223 hasConcept C40934718 @default.
- W2244321223 hasConcept C54355233 @default.
- W2244321223 hasConcept C62520636 @default.
- W2244321223 hasConcept C71924100 @default.
- W2244321223 hasConcept C83330619 @default.
- W2244321223 hasConcept C84114770 @default.
- W2244321223 hasConcept C86803240 @default.
- W2244321223 hasConceptScore W2244321223C105702510 @default.
- W2244321223 hasConceptScore W2244321223C114614502 @default.
- W2244321223 hasConceptScore W2244321223C121332964 @default.
- W2244321223 hasConceptScore W2244321223C127934551 @default.
- W2244321223 hasConceptScore W2244321223C128803854 @default.
- W2244321223 hasConceptScore W2244321223C134306372 @default.
- W2244321223 hasConceptScore W2244321223C158693339 @default.
- W2244321223 hasConceptScore W2244321223C164886730 @default.
- W2244321223 hasConceptScore W2244321223C165700671 @default.
- W2244321223 hasConceptScore W2244321223C184050105 @default.
- W2244321223 hasConceptScore W2244321223C202444582 @default.
- W2244321223 hasConceptScore W2244321223C2778112365 @default.
- W2244321223 hasConceptScore W2244321223C2778113609 @default.
- W2244321223 hasConceptScore W2244321223C33923547 @default.
- W2244321223 hasConceptScore W2244321223C37914503 @default.
- W2244321223 hasConceptScore W2244321223C40934718 @default.
- W2244321223 hasConceptScore W2244321223C54355233 @default.
- W2244321223 hasConceptScore W2244321223C62520636 @default.
- W2244321223 hasConceptScore W2244321223C71924100 @default.
- W2244321223 hasConceptScore W2244321223C83330619 @default.
- W2244321223 hasConceptScore W2244321223C84114770 @default.
- W2244321223 hasConceptScore W2244321223C86803240 @default.
- W2244321223 hasLocation W22443212231 @default.
- W2244321223 hasOpenAccess W2244321223 @default.
- W2244321223 hasPrimaryLocation W22443212231 @default.
- W2244321223 hasRelatedWork W1502774355 @default.
- W2244321223 hasRelatedWork W1512314250 @default.
- W2244321223 hasRelatedWork W1606835899 @default.
- W2244321223 hasRelatedWork W1825638508 @default.
- W2244321223 hasRelatedWork W1950432683 @default.
- W2244321223 hasRelatedWork W1977643832 @default.
- W2244321223 hasRelatedWork W1991247035 @default.
- W2244321223 hasRelatedWork W2038001585 @default.
- W2244321223 hasRelatedWork W2047450154 @default.
- W2244321223 hasRelatedWork W2050956896 @default.
- W2244321223 hasRelatedWork W2081227338 @default.
- W2244321223 hasRelatedWork W2098107581 @default.
- W2244321223 hasRelatedWork W2168647842 @default.
- W2244321223 hasRelatedWork W2169789787 @default.
- W2244321223 hasRelatedWork W2235069130 @default.
- W2244321223 hasRelatedWork W2325322594 @default.
- W2244321223 hasRelatedWork W2561963288 @default.
- W2244321223 hasRelatedWork W3048121347 @default.
- W2244321223 hasRelatedWork W3100821729 @default.
- W2244321223 hasRelatedWork W3174891224 @default.
- W2244321223 isParatext "false" @default.
- W2244321223 isRetracted "false" @default.
- W2244321223 magId "2244321223" @default.
- W2244321223 workType "article" @default.