Matches in SemOpenAlex for { <https://semopenalex.org/work/W4382619406> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W4382619406 abstract "Let $Delta+V$ be the discrete Schrodinger operator, where $Delta$ is the discrete Laplacian on $mathbb{Z}^d$ and the potential $V:mathbb{Z}^dto mathbb{C}$ is $Gamma$-periodic with $Gamma=q_1mathbb{Z}oplus q_2 mathbb{Z}opluscdotsoplus q_dmathbb{Z}$. In this study, we establish a comprehensive characterization of the complex-valued $Gamma$-periodic functions such that the Bloch variety of $Delta+V$ contains the graph of an entire function, in particular, we show that there are exactly $q_1q_2cdots q_d$ such functions (up to the Floquet isospectrality and the translation). Moreover, by applying this understanding to real-valued functions $V$, we confirm the conjecture concerning the geometric version of Borg's theorem in arbitrary dimensions." @default.
- W4382619406 created "2023-06-30" @default.
- W4382619406 creator A5037304666 @default.
- W4382619406 date "2023-06-28" @default.
- W4382619406 modified "2023-09-27" @default.
- W4382619406 title "Proof of geometric Borg's Theorem in arbitrary dimensions" @default.
- W4382619406 doi "https://doi.org/10.48550/arxiv.2306.16412" @default.
- W4382619406 hasPublicationYear "2023" @default.
- W4382619406 type Work @default.
- W4382619406 citedByCount "0" @default.
- W4382619406 crossrefType "posted-content" @default.
- W4382619406 hasAuthorship W4382619406A5037304666 @default.
- W4382619406 hasBestOaLocation W43826194061 @default.
- W4382619406 hasConcept C104317684 @default.
- W4382619406 hasConcept C114614502 @default.
- W4382619406 hasConcept C118615104 @default.
- W4382619406 hasConcept C120665830 @default.
- W4382619406 hasConcept C121332964 @default.
- W4382619406 hasConcept C132525143 @default.
- W4382619406 hasConcept C134306372 @default.
- W4382619406 hasConcept C14036430 @default.
- W4382619406 hasConcept C158448853 @default.
- W4382619406 hasConcept C165700671 @default.
- W4382619406 hasConcept C17020691 @default.
- W4382619406 hasConcept C185592680 @default.
- W4382619406 hasConcept C202444582 @default.
- W4382619406 hasConcept C2780841128 @default.
- W4382619406 hasConcept C2780990831 @default.
- W4382619406 hasConcept C33923547 @default.
- W4382619406 hasConcept C37914503 @default.
- W4382619406 hasConcept C55493867 @default.
- W4382619406 hasConcept C78458016 @default.
- W4382619406 hasConcept C86339819 @default.
- W4382619406 hasConcept C86803240 @default.
- W4382619406 hasConceptScore W4382619406C104317684 @default.
- W4382619406 hasConceptScore W4382619406C114614502 @default.
- W4382619406 hasConceptScore W4382619406C118615104 @default.
- W4382619406 hasConceptScore W4382619406C120665830 @default.
- W4382619406 hasConceptScore W4382619406C121332964 @default.
- W4382619406 hasConceptScore W4382619406C132525143 @default.
- W4382619406 hasConceptScore W4382619406C134306372 @default.
- W4382619406 hasConceptScore W4382619406C14036430 @default.
- W4382619406 hasConceptScore W4382619406C158448853 @default.
- W4382619406 hasConceptScore W4382619406C165700671 @default.
- W4382619406 hasConceptScore W4382619406C17020691 @default.
- W4382619406 hasConceptScore W4382619406C185592680 @default.
- W4382619406 hasConceptScore W4382619406C202444582 @default.
- W4382619406 hasConceptScore W4382619406C2780841128 @default.
- W4382619406 hasConceptScore W4382619406C2780990831 @default.
- W4382619406 hasConceptScore W4382619406C33923547 @default.
- W4382619406 hasConceptScore W4382619406C37914503 @default.
- W4382619406 hasConceptScore W4382619406C55493867 @default.
- W4382619406 hasConceptScore W4382619406C78458016 @default.
- W4382619406 hasConceptScore W4382619406C86339819 @default.
- W4382619406 hasConceptScore W4382619406C86803240 @default.
- W4382619406 hasLocation W43826194061 @default.
- W4382619406 hasOpenAccess W4382619406 @default.
- W4382619406 hasPrimaryLocation W43826194061 @default.
- W4382619406 hasRelatedWork W2044735103 @default.
- W4382619406 hasRelatedWork W2229409480 @default.
- W4382619406 hasRelatedWork W2348776509 @default.
- W4382619406 hasRelatedWork W2897153210 @default.
- W4382619406 hasRelatedWork W2964292522 @default.
- W4382619406 hasRelatedWork W3026358768 @default.
- W4382619406 hasRelatedWork W3186244286 @default.
- W4382619406 hasRelatedWork W4288715932 @default.
- W4382619406 hasRelatedWork W4300410646 @default.
- W4382619406 hasRelatedWork W4375947704 @default.
- W4382619406 isParatext "false" @default.
- W4382619406 isRetracted "false" @default.
- W4382619406 workType "article" @default.