Matches in SemOpenAlex for { <https://semopenalex.org/work/W1556405280> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W1556405280 endingPage "1550146" @default.
- W1556405280 startingPage "1550146" @default.
- W1556405280 abstract "In this paper, we show that an attempt to construct shape invariant extensions of a known shape invariant potential leads to, apart from a shift by a constant, the well known technique of isospectral shift deformation. Using this, we construct infinite sets of generalized potentials with $X_m$ exceptional polynomials as solutions. These potentials are rational extensions of the existing shape invariant potentials. The method is elucidated using the radial oscillator and the trigonometric P{o}schl-Teller potentials. For the case of radial oscillator, in addition to the known rational extensions, we construct two infinite sets of rational extensions, which seem to be less studied. For one of the potential, we show that its solutions involve a third type of exceptional Laguerre polynomials. Explicit expressions of this generalized infinite set of potentials and the corresponding solutions are presented. For the trigonometric P{o}schl-Teller potential, our analysis points to the possibility of several rational extensions beyond those known in literature." @default.
- W1556405280 created "2016-06-24" @default.
- W1556405280 creator A5030232966 @default.
- W1556405280 creator A5084709932 @default.
- W1556405280 creator A5085807265 @default.
- W1556405280 date "2015-08-28" @default.
- W1556405280 modified "2023-09-23" @default.
- W1556405280 title "Shape invariant rational extensions and potentials related to exceptional polynomials" @default.
- W1556405280 cites W1969637066 @default.
- W1556405280 cites W1974525177 @default.
- W1556405280 cites W1980039675 @default.
- W1556405280 cites W1982532849 @default.
- W1556405280 cites W2012766363 @default.
- W1556405280 cites W2034568564 @default.
- W1556405280 cites W2044729420 @default.
- W1556405280 cites W2058914001 @default.
- W1556405280 cites W2062297966 @default.
- W1556405280 cites W2062411556 @default.
- W1556405280 cites W2065391626 @default.
- W1556405280 cites W2073781533 @default.
- W1556405280 cites W2078194742 @default.
- W1556405280 cites W2081343992 @default.
- W1556405280 cites W2093019108 @default.
- W1556405280 cites W2095051538 @default.
- W1556405280 cites W2114185030 @default.
- W1556405280 cites W2117703358 @default.
- W1556405280 cites W2169807093 @default.
- W1556405280 cites W2963297186 @default.
- W1556405280 cites W3014793358 @default.
- W1556405280 cites W3098144878 @default.
- W1556405280 cites W3098217918 @default.
- W1556405280 cites W3099707252 @default.
- W1556405280 cites W3101113309 @default.
- W1556405280 cites W3125265001 @default.
- W1556405280 cites W2963929194 @default.
- W1556405280 doi "https://doi.org/10.1142/s0217751x15501468" @default.
- W1556405280 hasPublicationYear "2015" @default.
- W1556405280 type Work @default.
- W1556405280 sameAs 1556405280 @default.
- W1556405280 citedByCount "6" @default.
- W1556405280 countsByYear W15564052802017 @default.
- W1556405280 countsByYear W15564052802018 @default.
- W1556405280 countsByYear W15564052802019 @default.
- W1556405280 countsByYear W15564052802021 @default.
- W1556405280 countsByYear W15564052802022 @default.
- W1556405280 crossrefType "journal-article" @default.
- W1556405280 hasAuthorship W1556405280A5030232966 @default.
- W1556405280 hasAuthorship W1556405280A5084709932 @default.
- W1556405280 hasAuthorship W1556405280A5085807265 @default.
- W1556405280 hasBestOaLocation W15564052802 @default.
- W1556405280 hasConcept C108408018 @default.
- W1556405280 hasConcept C121332964 @default.
- W1556405280 hasConcept C134306372 @default.
- W1556405280 hasConcept C190470478 @default.
- W1556405280 hasConcept C202444582 @default.
- W1556405280 hasConcept C2779710842 @default.
- W1556405280 hasConcept C29001434 @default.
- W1556405280 hasConcept C33923547 @default.
- W1556405280 hasConcept C37914503 @default.
- W1556405280 hasConcept C75190567 @default.
- W1556405280 hasConceptScore W1556405280C108408018 @default.
- W1556405280 hasConceptScore W1556405280C121332964 @default.
- W1556405280 hasConceptScore W1556405280C134306372 @default.
- W1556405280 hasConceptScore W1556405280C190470478 @default.
- W1556405280 hasConceptScore W1556405280C202444582 @default.
- W1556405280 hasConceptScore W1556405280C2779710842 @default.
- W1556405280 hasConceptScore W1556405280C29001434 @default.
- W1556405280 hasConceptScore W1556405280C33923547 @default.
- W1556405280 hasConceptScore W1556405280C37914503 @default.
- W1556405280 hasConceptScore W1556405280C75190567 @default.
- W1556405280 hasIssue "24" @default.
- W1556405280 hasLocation W15564052801 @default.
- W1556405280 hasLocation W15564052802 @default.
- W1556405280 hasOpenAccess W1556405280 @default.
- W1556405280 hasPrimaryLocation W15564052801 @default.
- W1556405280 hasRelatedWork W1522743773 @default.
- W1556405280 hasRelatedWork W1981909949 @default.
- W1556405280 hasRelatedWork W1990366873 @default.
- W1556405280 hasRelatedWork W2060525299 @default.
- W1556405280 hasRelatedWork W2088544526 @default.
- W1556405280 hasRelatedWork W2768868038 @default.
- W1556405280 hasRelatedWork W2949866115 @default.
- W1556405280 hasRelatedWork W2963144594 @default.
- W1556405280 hasRelatedWork W2963296577 @default.
- W1556405280 hasRelatedWork W4301824282 @default.
- W1556405280 hasVolume "30" @default.
- W1556405280 isParatext "false" @default.
- W1556405280 isRetracted "false" @default.
- W1556405280 magId "1556405280" @default.
- W1556405280 workType "article" @default.