Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100283955> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W3100283955 endingPage "5664" @default.
- W3100283955 startingPage "5652" @default.
- W3100283955 abstract "Applying certain known theorems about one-dimensional periodic potentials, we show that the energy spectrum of the associated Lam'{e} potentials $$a(a+1)m~{rm sn}^2(x,m)+b(b+1)m~{rm cn}^2(x,m)/{rm dn}^2(x,m)$$ consists of a finite number of bound bands followed by a continuum band when both $a$ and $b$ take integer values. Further, if $a$ and $b$ are unequal integers, we show that there must exist some zero band-gap states, i.e. doubly degenerate states with the same number of nodes. More generally, in case $a$ and $b$ are not integers, but either $a + b$ or $a - b$ is an integer ($a ne b$), we again show that several of the band-gaps vanish due to degeneracy of states with the same number of nodes. Finally, when either $a$ or $b$ is an integer and the other takes a half-integral value, we obtain exact analytic solutions for several mid-band states." @default.
- W3100283955 created "2020-11-23" @default.
- W3100283955 creator A5016952693 @default.
- W3100283955 creator A5057319697 @default.
- W3100283955 date "2001-12-01" @default.
- W3100283955 modified "2023-10-11" @default.
- W3100283955 title "Some exact results for mid-band and zero band-gap states of associated Lamé potentials" @default.
- W3100283955 cites W1839180260 @default.
- W3100283955 doi "https://doi.org/10.1063/1.1416487" @default.
- W3100283955 hasPublicationYear "2001" @default.
- W3100283955 type Work @default.
- W3100283955 sameAs 3100283955 @default.
- W3100283955 citedByCount "26" @default.
- W3100283955 countsByYear W31002839552012 @default.
- W3100283955 countsByYear W31002839552015 @default.
- W3100283955 countsByYear W31002839552021 @default.
- W3100283955 crossrefType "journal-article" @default.
- W3100283955 hasAuthorship W3100283955A5016952693 @default.
- W3100283955 hasAuthorship W3100283955A5057319697 @default.
- W3100283955 hasBestOaLocation W31002839552 @default.
- W3100283955 hasConcept C114614502 @default.
- W3100283955 hasConcept C121332964 @default.
- W3100283955 hasConcept C138885662 @default.
- W3100283955 hasConcept C156778621 @default.
- W3100283955 hasConcept C174084160 @default.
- W3100283955 hasConcept C181966813 @default.
- W3100283955 hasConcept C186370098 @default.
- W3100283955 hasConcept C199360897 @default.
- W3100283955 hasConcept C2777727622 @default.
- W3100283955 hasConcept C2780813799 @default.
- W3100283955 hasConcept C33923547 @default.
- W3100283955 hasConcept C37914503 @default.
- W3100283955 hasConcept C41008148 @default.
- W3100283955 hasConcept C41895202 @default.
- W3100283955 hasConcept C56863137 @default.
- W3100283955 hasConcept C60644358 @default.
- W3100283955 hasConcept C62520636 @default.
- W3100283955 hasConcept C72319582 @default.
- W3100283955 hasConcept C86803240 @default.
- W3100283955 hasConcept C97137487 @default.
- W3100283955 hasConceptScore W3100283955C114614502 @default.
- W3100283955 hasConceptScore W3100283955C121332964 @default.
- W3100283955 hasConceptScore W3100283955C138885662 @default.
- W3100283955 hasConceptScore W3100283955C156778621 @default.
- W3100283955 hasConceptScore W3100283955C174084160 @default.
- W3100283955 hasConceptScore W3100283955C181966813 @default.
- W3100283955 hasConceptScore W3100283955C186370098 @default.
- W3100283955 hasConceptScore W3100283955C199360897 @default.
- W3100283955 hasConceptScore W3100283955C2777727622 @default.
- W3100283955 hasConceptScore W3100283955C2780813799 @default.
- W3100283955 hasConceptScore W3100283955C33923547 @default.
- W3100283955 hasConceptScore W3100283955C37914503 @default.
- W3100283955 hasConceptScore W3100283955C41008148 @default.
- W3100283955 hasConceptScore W3100283955C41895202 @default.
- W3100283955 hasConceptScore W3100283955C56863137 @default.
- W3100283955 hasConceptScore W3100283955C60644358 @default.
- W3100283955 hasConceptScore W3100283955C62520636 @default.
- W3100283955 hasConceptScore W3100283955C72319582 @default.
- W3100283955 hasConceptScore W3100283955C86803240 @default.
- W3100283955 hasConceptScore W3100283955C97137487 @default.
- W3100283955 hasIssue "12" @default.
- W3100283955 hasLocation W31002839551 @default.
- W3100283955 hasLocation W31002839552 @default.
- W3100283955 hasLocation W31002839553 @default.
- W3100283955 hasLocation W31002839554 @default.
- W3100283955 hasOpenAccess W3100283955 @default.
- W3100283955 hasPrimaryLocation W31002839551 @default.
- W3100283955 hasRelatedWork W1968676283 @default.
- W3100283955 hasRelatedWork W1978964679 @default.
- W3100283955 hasRelatedWork W2041619579 @default.
- W3100283955 hasRelatedWork W2050500926 @default.
- W3100283955 hasRelatedWork W2054535859 @default.
- W3100283955 hasRelatedWork W270000287 @default.
- W3100283955 hasRelatedWork W2963754092 @default.
- W3100283955 hasRelatedWork W3100283955 @default.
- W3100283955 hasRelatedWork W3103783105 @default.
- W3100283955 hasRelatedWork W3122347574 @default.
- W3100283955 hasVolume "42" @default.
- W3100283955 isParatext "false" @default.
- W3100283955 isRetracted "false" @default.
- W3100283955 magId "3100283955" @default.
- W3100283955 workType "article" @default.