Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100533084> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W3100533084 endingPage "7450" @default.
- W3100533084 startingPage "7423" @default.
- W3100533084 abstract "The formalism of exact 1D quantization is reviewed in detail and applied to the spectral study of three concrete Schrodinger Hamiltonians $[-d^2/d q^2 + V(q)]^pm$ on the half-line ${q>0}$, with a Dirichlet (-) or Neumann (+) condition at q=0. Emphasis is put on the analytical investigation of the spectral determinants and spectral zeta functions with respect to singular perturbation parameters. We first discuss the homogeneous potential $V(q)=q^N$ as $N to +infty$vs its (solvable) $N=infty$ limit (an infinite square well): useful distinctions are established between regular and singular behaviours of spectral quantities; various identities among the square-well spectral functions are unraveled as limits of finite-N properties. The second model is the quartic anharmonic oscillator: its zero-energy spectral determinants $det(-d^2/d q^2 + q^4 + v q^2)^pm$ are explicitly analyzed in detail, revealing many special values, algebraic identities between Taylor coefficients, and functional equations of a quartic type coupled to asymptotic $v to +infty$ properties of Airy type. The third study addresses the potentials $V(q)=q^N+v q^{N/2-1}$ of even degree: their zero-energy spectral determinants prove computable in closed form, and the generalized eigenvalue problems with v as spectral variable admit exact quantization formulae which are perfect extensions of the harmonic oscillator case (corresponding to N=2); these results probably reflect the presence of supersymmetric potentials in the family above." @default.
- W3100533084 created "2020-11-23" @default.
- W3100533084 creator A5064940143 @default.
- W3100533084 date "2000-10-05" @default.
- W3100533084 modified "2023-09-30" @default.
- W3100533084 title "Exercises in exact quantization" @default.
- W3100533084 cites W1494222274 @default.
- W3100533084 cites W1973768161 @default.
- W3100533084 cites W2001874637 @default.
- W3100533084 cites W2023180912 @default.
- W3100533084 cites W2028008307 @default.
- W3100533084 cites W2032596857 @default.
- W3100533084 cites W2037879356 @default.
- W3100533084 cites W2044405326 @default.
- W3100533084 cites W2051468978 @default.
- W3100533084 cites W2056373142 @default.
- W3100533084 cites W2059469519 @default.
- W3100533084 cites W2090659349 @default.
- W3100533084 cites W3100166054 @default.
- W3100533084 cites W3101398090 @default.
- W3100533084 cites W3105402099 @default.
- W3100533084 cites W3117418771 @default.
- W3100533084 cites W4231682458 @default.
- W3100533084 cites W4235274891 @default.
- W3100533084 doi "https://doi.org/10.1088/0305-4470/33/41/311" @default.
- W3100533084 hasPublicationYear "2000" @default.
- W3100533084 type Work @default.
- W3100533084 sameAs 3100533084 @default.
- W3100533084 citedByCount "25" @default.
- W3100533084 countsByYear W31005330842012 @default.
- W3100533084 countsByYear W31005330842019 @default.
- W3100533084 countsByYear W31005330842021 @default.
- W3100533084 crossrefType "journal-article" @default.
- W3100533084 hasAuthorship W3100533084A5064940143 @default.
- W3100533084 hasBestOaLocation W31005330842 @default.
- W3100533084 hasConcept C11413529 @default.
- W3100533084 hasConcept C121332964 @default.
- W3100533084 hasConcept C130432447 @default.
- W3100533084 hasConcept C134306372 @default.
- W3100533084 hasConcept C147724859 @default.
- W3100533084 hasConcept C158693339 @default.
- W3100533084 hasConcept C196267783 @default.
- W3100533084 hasConcept C202444582 @default.
- W3100533084 hasConcept C28855332 @default.
- W3100533084 hasConcept C33923547 @default.
- W3100533084 hasConcept C37914503 @default.
- W3100533084 hasConcept C40934718 @default.
- W3100533084 hasConcept C62520636 @default.
- W3100533084 hasConcept C72319582 @default.
- W3100533084 hasConceptScore W3100533084C11413529 @default.
- W3100533084 hasConceptScore W3100533084C121332964 @default.
- W3100533084 hasConceptScore W3100533084C130432447 @default.
- W3100533084 hasConceptScore W3100533084C134306372 @default.
- W3100533084 hasConceptScore W3100533084C147724859 @default.
- W3100533084 hasConceptScore W3100533084C158693339 @default.
- W3100533084 hasConceptScore W3100533084C196267783 @default.
- W3100533084 hasConceptScore W3100533084C202444582 @default.
- W3100533084 hasConceptScore W3100533084C28855332 @default.
- W3100533084 hasConceptScore W3100533084C33923547 @default.
- W3100533084 hasConceptScore W3100533084C37914503 @default.
- W3100533084 hasConceptScore W3100533084C40934718 @default.
- W3100533084 hasConceptScore W3100533084C62520636 @default.
- W3100533084 hasConceptScore W3100533084C72319582 @default.
- W3100533084 hasIssue "41" @default.
- W3100533084 hasLocation W31005330841 @default.
- W3100533084 hasLocation W31005330842 @default.
- W3100533084 hasLocation W31005330843 @default.
- W3100533084 hasLocation W31005330844 @default.
- W3100533084 hasOpenAccess W3100533084 @default.
- W3100533084 hasPrimaryLocation W31005330841 @default.
- W3100533084 hasRelatedWork W1983430369 @default.
- W3100533084 hasRelatedWork W2009386502 @default.
- W3100533084 hasRelatedWork W2016341869 @default.
- W3100533084 hasRelatedWork W2023080850 @default.
- W3100533084 hasRelatedWork W2054326308 @default.
- W3100533084 hasRelatedWork W2056373142 @default.
- W3100533084 hasRelatedWork W2065910214 @default.
- W3100533084 hasRelatedWork W2069231663 @default.
- W3100533084 hasRelatedWork W2141593546 @default.
- W3100533084 hasRelatedWork W5445077 @default.
- W3100533084 hasVolume "33" @default.
- W3100533084 isParatext "false" @default.
- W3100533084 isRetracted "false" @default.
- W3100533084 magId "3100533084" @default.
- W3100533084 workType "article" @default.