Matches in SemOpenAlex for { <https://semopenalex.org/work/W3125155580> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W3125155580 endingPage "1020" @default.
- W3125155580 startingPage "1003" @default.
- W3125155580 abstract "In this paper we study limits of Wigner distributions (the so-called semiclassical measures) corresponding to sequences of solutions to the semiclassical Schrodinger equation at time scales αh tending to infinity as the semiclassical parameter h tends to zero (when αh = 1/h this is equivalent to considering solutions to the non-semiclassical Schrodinger equation). Some general results are presented, among which is a weak version of Egorov's theorem that holds in this setting. A complete characterization is given for the Euclidean space and Zoll manifolds (that is, manifolds with periodic geodesic flow) via averaging formulae relating the semiclassical measures corresponding to the evolution to those of the initial states. The case of the flat torus is also addressed; it is shown that non-classical behaviour may occur when energy concentrates on resonant frequencies. Moreover, we present an example showing that the semiclassical measures associated with a sequence of states no longer determines those of their evolutions. Finally, some results concerning the equation with a potential are presented." @default.
- W3125155580 created "2021-02-01" @default.
- W3125155580 creator A5070444689 @default.
- W3125155580 date "2009-04-03" @default.
- W3125155580 modified "2023-10-12" @default.
- W3125155580 title "Semiclassical measures and the Schrödinger flow on Riemannian manifolds" @default.
- W3125155580 cites W1137184376 @default.
- W3125155580 cites W1498458032 @default.
- W3125155580 cites W1514431383 @default.
- W3125155580 cites W1633481666 @default.
- W3125155580 cites W1670678350 @default.
- W3125155580 cites W1924065006 @default.
- W3125155580 cites W1989121669 @default.
- W3125155580 cites W2028972200 @default.
- W3125155580 cites W2029275768 @default.
- W3125155580 cites W2032994166 @default.
- W3125155580 cites W2048216020 @default.
- W3125155580 cites W2080373877 @default.
- W3125155580 cites W2083916485 @default.
- W3125155580 cites W2094344925 @default.
- W3125155580 cites W2110933932 @default.
- W3125155580 cites W2114599246 @default.
- W3125155580 cites W2169446799 @default.
- W3125155580 cites W2169998011 @default.
- W3125155580 cites W252314931 @default.
- W3125155580 cites W3101082003 @default.
- W3125155580 cites W3101763623 @default.
- W3125155580 cites W3106320177 @default.
- W3125155580 cites W4243854310 @default.
- W3125155580 cites W4249826685 @default.
- W3125155580 doi "https://doi.org/10.1088/0951-7715/22/5/005" @default.
- W3125155580 hasPublicationYear "2009" @default.
- W3125155580 type Work @default.
- W3125155580 sameAs 3125155580 @default.
- W3125155580 citedByCount "20" @default.
- W3125155580 countsByYear W31251555802012 @default.
- W3125155580 countsByYear W31251555802015 @default.
- W3125155580 countsByYear W31251555802016 @default.
- W3125155580 countsByYear W31251555802017 @default.
- W3125155580 countsByYear W31251555802018 @default.
- W3125155580 countsByYear W31251555802019 @default.
- W3125155580 countsByYear W31251555802020 @default.
- W3125155580 countsByYear W31251555802021 @default.
- W3125155580 countsByYear W31251555802022 @default.
- W3125155580 crossrefType "journal-article" @default.
- W3125155580 hasAuthorship W3125155580A5070444689 @default.
- W3125155580 hasBestOaLocation W31251555802 @default.
- W3125155580 hasConcept C121332964 @default.
- W3125155580 hasConcept C134306372 @default.
- W3125155580 hasConcept C194800363 @default.
- W3125155580 hasConcept C202444582 @default.
- W3125155580 hasConcept C2524010 @default.
- W3125155580 hasConcept C33923547 @default.
- W3125155580 hasConcept C37914503 @default.
- W3125155580 hasConcept C38349280 @default.
- W3125155580 hasConcept C535169671 @default.
- W3125155580 hasConcept C62520636 @default.
- W3125155580 hasConcept C84114770 @default.
- W3125155580 hasConceptScore W3125155580C121332964 @default.
- W3125155580 hasConceptScore W3125155580C134306372 @default.
- W3125155580 hasConceptScore W3125155580C194800363 @default.
- W3125155580 hasConceptScore W3125155580C202444582 @default.
- W3125155580 hasConceptScore W3125155580C2524010 @default.
- W3125155580 hasConceptScore W3125155580C33923547 @default.
- W3125155580 hasConceptScore W3125155580C37914503 @default.
- W3125155580 hasConceptScore W3125155580C38349280 @default.
- W3125155580 hasConceptScore W3125155580C535169671 @default.
- W3125155580 hasConceptScore W3125155580C62520636 @default.
- W3125155580 hasConceptScore W3125155580C84114770 @default.
- W3125155580 hasIssue "5" @default.
- W3125155580 hasLocation W31251555801 @default.
- W3125155580 hasLocation W31251555802 @default.
- W3125155580 hasLocation W31251555803 @default.
- W3125155580 hasOpenAccess W3125155580 @default.
- W3125155580 hasPrimaryLocation W31251555801 @default.
- W3125155580 hasRelatedWork W1800020650 @default.
- W3125155580 hasRelatedWork W1942691608 @default.
- W3125155580 hasRelatedWork W2036880428 @default.
- W3125155580 hasRelatedWork W2063844972 @default.
- W3125155580 hasRelatedWork W2231499872 @default.
- W3125155580 hasRelatedWork W2327156565 @default.
- W3125155580 hasRelatedWork W2950230136 @default.
- W3125155580 hasRelatedWork W2962764579 @default.
- W3125155580 hasRelatedWork W2964778607 @default.
- W3125155580 hasRelatedWork W4301958495 @default.
- W3125155580 hasVolume "22" @default.
- W3125155580 isParatext "false" @default.
- W3125155580 isRetracted "false" @default.
- W3125155580 magId "3125155580" @default.
- W3125155580 workType "article" @default.