Matches in SemOpenAlex for { <https://semopenalex.org/work/W3133888837> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W3133888837 abstract "We give an algebraic derivation of the eigenvalues of energy of a quantum harmonic oscillator on the surface of constant curvature, i.e. on the sphere or on the hyperbolic plane. We use the method proposed by Daskaloyannis for fixing the energy eigenvalues of two-dimensional (2D) quadratically superintegrable systems by assuming that they are determined by the existence of finite-dimensional representation of the polynomial algebra of the motion integral operators. The tool for realizing representations is the deformed parafermionic oscillator. The eigenvalues of energy are calculated and the result derived by us algebraically agrees with the known energy eigenvalues calculated by classical analytical methods. This assertion which is the main result of this article is demonstrated by a detailed presentation. We also discuss the qualitative difference of the energy spectra on the sphere and on the hyperbolic plane." @default.
- W3133888837 created "2021-03-15" @default.
- W3133888837 creator A5085148475 @default.
- W3133888837 creator A5090132538 @default.
- W3133888837 date "2022-10-01" @default.
- W3133888837 modified "2023-09-27" @default.
- W3133888837 title "Algebraic derivation of the energy eigenvalues for the quantum oscillator defined on the sphere and the hyperbolic plane" @default.
- W3133888837 cites W2012941439 @default.
- W3133888837 cites W2014486259 @default.
- W3133888837 cites W2017044184 @default.
- W3133888837 cites W2018261379 @default.
- W3133888837 cites W2031673422 @default.
- W3133888837 cites W2045698631 @default.
- W3133888837 cites W2054790422 @default.
- W3133888837 cites W2080131386 @default.
- W3133888837 cites W2085449863 @default.
- W3133888837 cites W2125100322 @default.
- W3133888837 cites W2133879684 @default.
- W3133888837 cites W2562397760 @default.
- W3133888837 cites W3101332457 @default.
- W3133888837 cites W3105400524 @default.
- W3133888837 doi "https://doi.org/10.1063/5.0071276" @default.
- W3133888837 hasPublicationYear "2022" @default.
- W3133888837 type Work @default.
- W3133888837 sameAs 3133888837 @default.
- W3133888837 citedByCount "0" @default.
- W3133888837 crossrefType "journal-article" @default.
- W3133888837 hasAuthorship W3133888837A5085148475 @default.
- W3133888837 hasAuthorship W3133888837A5090132538 @default.
- W3133888837 hasBestOaLocation W31338888372 @default.
- W3133888837 hasConcept C121332964 @default.
- W3133888837 hasConcept C134306372 @default.
- W3133888837 hasConcept C158693339 @default.
- W3133888837 hasConcept C179117685 @default.
- W3133888837 hasConcept C192939610 @default.
- W3133888837 hasConcept C206352148 @default.
- W3133888837 hasConcept C33923547 @default.
- W3133888837 hasConcept C40934718 @default.
- W3133888837 hasConcept C62520636 @default.
- W3133888837 hasConcept C9376300 @default.
- W3133888837 hasConceptScore W3133888837C121332964 @default.
- W3133888837 hasConceptScore W3133888837C134306372 @default.
- W3133888837 hasConceptScore W3133888837C158693339 @default.
- W3133888837 hasConceptScore W3133888837C179117685 @default.
- W3133888837 hasConceptScore W3133888837C192939610 @default.
- W3133888837 hasConceptScore W3133888837C206352148 @default.
- W3133888837 hasConceptScore W3133888837C33923547 @default.
- W3133888837 hasConceptScore W3133888837C40934718 @default.
- W3133888837 hasConceptScore W3133888837C62520636 @default.
- W3133888837 hasConceptScore W3133888837C9376300 @default.
- W3133888837 hasIssue "10" @default.
- W3133888837 hasLocation W31338888371 @default.
- W3133888837 hasLocation W31338888372 @default.
- W3133888837 hasLocation W31338888373 @default.
- W3133888837 hasOpenAccess W3133888837 @default.
- W3133888837 hasPrimaryLocation W31338888371 @default.
- W3133888837 hasRelatedWork W1997758350 @default.
- W3133888837 hasRelatedWork W2006061546 @default.
- W3133888837 hasRelatedWork W2013562113 @default.
- W3133888837 hasRelatedWork W2042839662 @default.
- W3133888837 hasRelatedWork W2052919399 @default.
- W3133888837 hasRelatedWork W221013995 @default.
- W3133888837 hasRelatedWork W3102107511 @default.
- W3133888837 hasRelatedWork W3111509868 @default.
- W3133888837 hasRelatedWork W3194817562 @default.
- W3133888837 hasRelatedWork W5445077 @default.
- W3133888837 hasVolume "63" @default.
- W3133888837 isParatext "false" @default.
- W3133888837 isRetracted "false" @default.
- W3133888837 magId "3133888837" @default.
- W3133888837 workType "article" @default.