Matches in SemOpenAlex for { <https://semopenalex.org/work/W2024459968> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W2024459968 abstract "We obtain the band edge eigenstates and the mid-band states for the complex, PT-invariant generalized associated Lam'e potentials $V^{PT}(x)=-a(a+1)m sn^2(y,m)-b(b+1)m {sn^2 (y+K(m),m)} -f(f+1)m {sn^2 (y+K(m)+iK'(m),m)}-g(g+1)m {sn^2 (y+iK'(m),m)}$, where $y equiv ix+beta$, and there are four parameters $a,b,f,g$. This work is a substantial generalization of previous work with the associated Lam'e potentials $V(x)=a(a+1)msn^2(x,m)+b(b+1)m{sn^2 (x+K(m),m)}$ and their corresponding PT-invariant counterparts $V^{PT}(x)=-V(ix+beta)$, both of which involving just two parameters $a,b$. We show that for many integer values of $a,b,f,g$, the PT-invariant potentials $V^{PT}(x)$ are periodic problems with a finite number of band gaps. Further, usingsupersymmetry, we construct several additional, new, complex, PT-invariant, periodic potentials with a finite number of band gaps. We also point out the intimate connection between the above generalized associated Lam'e potential problem and Heun's differential equation." @default.
- W2024459968 created "2016-06-24" @default.
- W2024459968 creator A5016952693 @default.
- W2024459968 creator A5057319697 @default.
- W2024459968 date "2005-08-01" @default.
- W2024459968 modified "2023-10-16" @default.
- W2024459968 title "PT-invariant periodic potentials with a finite number of band gaps" @default.
- W2024459968 cites W1839180260 @default.
- W2024459968 cites W1963736794 @default.
- W2024459968 cites W1973219483 @default.
- W2024459968 cites W1990738387 @default.
- W2024459968 cites W2001702573 @default.
- W2024459968 cites W2014163721 @default.
- W2024459968 cites W2027720279 @default.
- W2024459968 cites W2031053132 @default.
- W2024459968 cites W2040246371 @default.
- W2024459968 cites W2043411674 @default.
- W2024459968 cites W2044336752 @default.
- W2024459968 cites W2053708568 @default.
- W2024459968 cites W2067123857 @default.
- W2024459968 cites W2069672988 @default.
- W2024459968 cites W2070742228 @default.
- W2024459968 cites W2072635720 @default.
- W2024459968 cites W2084903764 @default.
- W2024459968 cites W2132578448 @default.
- W2024459968 cites W2151477622 @default.
- W2024459968 cites W2240959400 @default.
- W2024459968 cites W2255317856 @default.
- W2024459968 cites W2739884744 @default.
- W2024459968 cites W3099253083 @default.
- W2024459968 cites W3100283955 @default.
- W2024459968 cites W3104244663 @default.
- W2024459968 cites W3105448191 @default.
- W2024459968 cites W3122659195 @default.
- W2024459968 cites W3124670341 @default.
- W2024459968 doi "https://doi.org/10.1063/1.2000207" @default.
- W2024459968 hasPublicationYear "2005" @default.
- W2024459968 type Work @default.
- W2024459968 sameAs 2024459968 @default.
- W2024459968 citedByCount "9" @default.
- W2024459968 countsByYear W20244599682012 @default.
- W2024459968 countsByYear W20244599682016 @default.
- W2024459968 crossrefType "journal-article" @default.
- W2024459968 hasAuthorship W2024459968A5016952693 @default.
- W2024459968 hasAuthorship W2024459968A5057319697 @default.
- W2024459968 hasBestOaLocation W20244599682 @default.
- W2024459968 hasConcept C114614502 @default.
- W2024459968 hasConcept C121332964 @default.
- W2024459968 hasConcept C134306372 @default.
- W2024459968 hasConcept C158693339 @default.
- W2024459968 hasConcept C190470478 @default.
- W2024459968 hasConcept C33923547 @default.
- W2024459968 hasConcept C37914503 @default.
- W2024459968 hasConcept C62520636 @default.
- W2024459968 hasConceptScore W2024459968C114614502 @default.
- W2024459968 hasConceptScore W2024459968C121332964 @default.
- W2024459968 hasConceptScore W2024459968C134306372 @default.
- W2024459968 hasConceptScore W2024459968C158693339 @default.
- W2024459968 hasConceptScore W2024459968C190470478 @default.
- W2024459968 hasConceptScore W2024459968C33923547 @default.
- W2024459968 hasConceptScore W2024459968C37914503 @default.
- W2024459968 hasConceptScore W2024459968C62520636 @default.
- W2024459968 hasIssue "8" @default.
- W2024459968 hasLocation W20244599681 @default.
- W2024459968 hasLocation W20244599682 @default.
- W2024459968 hasLocation W20244599683 @default.
- W2024459968 hasLocation W20244599684 @default.
- W2024459968 hasOpenAccess W2024459968 @default.
- W2024459968 hasPrimaryLocation W20244599681 @default.
- W2024459968 hasRelatedWork W1978042415 @default.
- W2024459968 hasRelatedWork W1982496263 @default.
- W2024459968 hasRelatedWork W2028454084 @default.
- W2024459968 hasRelatedWork W2044927803 @default.
- W2024459968 hasRelatedWork W2045892986 @default.
- W2024459968 hasRelatedWork W2053448926 @default.
- W2024459968 hasRelatedWork W2376950174 @default.
- W2024459968 hasRelatedWork W2912679009 @default.
- W2024459968 hasRelatedWork W2966383146 @default.
- W2024459968 hasRelatedWork W3083820578 @default.
- W2024459968 hasVolume "46" @default.
- W2024459968 isParatext "false" @default.
- W2024459968 isRetracted "false" @default.
- W2024459968 magId "2024459968" @default.
- W2024459968 workType "article" @default.