Matches in SemOpenAlex for { <https://semopenalex.org/work/W288641290> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W288641290 endingPage "1042" @default.
- W288641290 startingPage "1040" @default.
- W288641290 abstract "For a densely defined self-adjoint operator H in Hilbert space F the operator exp(−itH) is the evolution operator for the Schrödinger equation iψt′=Hψ, i.e. if ψ(0,x)=ψ0(x) then ψ(t,x)=(exp(−itH)ψ0)(x) for x∈Q. The space F here is the space of wave functions ψ defined on an abstract space Q, the configuration space of a quantum system, and H is the Hamiltonian of the system. In this paper the operator exp(−itH) for all real values of t is expressed in terms of the family of self-adjoint bounded operators S(t), t≥0, which is Chernoff-tangent to the operator −H. One can take S(t)=exp(−tH), or use other, simple families S that are listed in the paper. The main theorem is proven on the level of semigroups of bounded operators in F so it can be used in a wider context due to its generality. Two examples of application are provided." @default.
- W288641290 created "2016-06-24" @default.
- W288641290 creator A5016481949 @default.
- W288641290 date "2006-02-01" @default.
- W288641290 modified "2023-09-23" @default.
- W288641290 cites W1983156306 @default.
- W288641290 doi "https://doi.org/10.1016/j.ejor.2005.01.001" @default.
- W288641290 hasPublicationYear "2006" @default.
- W288641290 type Work @default.
- W288641290 sameAs 288641290 @default.
- W288641290 citedByCount "0" @default.
- W288641290 crossrefType "journal-article" @default.
- W288641290 hasAuthorship W288641290A5016481949 @default.
- W288641290 hasConcept C104317684 @default.
- W288641290 hasConcept C118615104 @default.
- W288641290 hasConcept C126255220 @default.
- W288641290 hasConcept C130787639 @default.
- W288641290 hasConcept C132954091 @default.
- W288641290 hasConcept C134306372 @default.
- W288641290 hasConcept C158448853 @default.
- W288641290 hasConcept C17020691 @default.
- W288641290 hasConcept C171972299 @default.
- W288641290 hasConcept C175454919 @default.
- W288641290 hasConcept C176691602 @default.
- W288641290 hasConcept C185592680 @default.
- W288641290 hasConcept C199360897 @default.
- W288641290 hasConcept C202444582 @default.
- W288641290 hasConcept C2778029271 @default.
- W288641290 hasConcept C33923547 @default.
- W288641290 hasConcept C34388435 @default.
- W288641290 hasConcept C41008148 @default.
- W288641290 hasConcept C55493867 @default.
- W288641290 hasConcept C62799726 @default.
- W288641290 hasConcept C65630602 @default.
- W288641290 hasConcept C79013869 @default.
- W288641290 hasConcept C86339819 @default.
- W288641290 hasConcept C99392333 @default.
- W288641290 hasConceptScore W288641290C104317684 @default.
- W288641290 hasConceptScore W288641290C118615104 @default.
- W288641290 hasConceptScore W288641290C126255220 @default.
- W288641290 hasConceptScore W288641290C130787639 @default.
- W288641290 hasConceptScore W288641290C132954091 @default.
- W288641290 hasConceptScore W288641290C134306372 @default.
- W288641290 hasConceptScore W288641290C158448853 @default.
- W288641290 hasConceptScore W288641290C17020691 @default.
- W288641290 hasConceptScore W288641290C171972299 @default.
- W288641290 hasConceptScore W288641290C175454919 @default.
- W288641290 hasConceptScore W288641290C176691602 @default.
- W288641290 hasConceptScore W288641290C185592680 @default.
- W288641290 hasConceptScore W288641290C199360897 @default.
- W288641290 hasConceptScore W288641290C202444582 @default.
- W288641290 hasConceptScore W288641290C2778029271 @default.
- W288641290 hasConceptScore W288641290C33923547 @default.
- W288641290 hasConceptScore W288641290C34388435 @default.
- W288641290 hasConceptScore W288641290C41008148 @default.
- W288641290 hasConceptScore W288641290C55493867 @default.
- W288641290 hasConceptScore W288641290C62799726 @default.
- W288641290 hasConceptScore W288641290C65630602 @default.
- W288641290 hasConceptScore W288641290C79013869 @default.
- W288641290 hasConceptScore W288641290C86339819 @default.
- W288641290 hasConceptScore W288641290C99392333 @default.
- W288641290 hasIssue "3" @default.
- W288641290 hasLocation W2886412901 @default.
- W288641290 hasOpenAccess W288641290 @default.
- W288641290 hasPrimaryLocation W2886412901 @default.
- W288641290 hasRelatedWork W1506708145 @default.
- W288641290 hasRelatedWork W1705078283 @default.
- W288641290 hasRelatedWork W2071083090 @default.
- W288641290 hasRelatedWork W2119314230 @default.
- W288641290 hasRelatedWork W2332021484 @default.
- W288641290 hasRelatedWork W2352702639 @default.
- W288641290 hasRelatedWork W2988381336 @default.
- W288641290 hasRelatedWork W4288025384 @default.
- W288641290 hasRelatedWork W4299525892 @default.
- W288641290 hasRelatedWork W2717213425 @default.
- W288641290 hasVolume "168" @default.
- W288641290 isParatext "false" @default.
- W288641290 isRetracted "false" @default.
- W288641290 magId "288641290" @default.
- W288641290 workType "article" @default.