Matches in SemOpenAlex for { <https://semopenalex.org/work/W1856620685> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W1856620685 abstract "The single-particle dynamics in a time-dependent focusing field is examined. The existence of the Courant-Snyder invariant is fundamentally a result of the corresponding symmetry admitted by the oscillator equation with time-dependent frequency. A careful analysis of the admitted symmetries reveals a deeper connection between the non-linear envelope equation and the oscillator equation. A general theorem regarding the symmetries and invariants of the envelope equation, which includes the existence of the Courant-Snyder invariant as a special case, is demonstrated. The symmetries of the envelope equation enable a fast algorithm for finding matched solutions without using the conventional iterative shooting method." @default.
- W1856620685 created "2016-06-24" @default.
- W1856620685 creator A5007354836 @default.
- W1856620685 creator A5085344730 @default.
- W1856620685 date "2006-02-15" @default.
- W1856620685 modified "2023-10-16" @default.
- W1856620685 title "Symmetries and Invariants of the Time-Dependent Oscillator Equation and the Envelope Equation" @default.
- W1856620685 cites W1573927207 @default.
- W1856620685 cites W1965240898 @default.
- W1856620685 cites W2013521517 @default.
- W1856620685 cites W2015041272 @default.
- W1856620685 cites W2019451569 @default.
- W1856620685 cites W2027095968 @default.
- W1856620685 cites W2079373471 @default.
- W1856620685 cites W2094863020 @default.
- W1856620685 cites W2133292567 @default.
- W1856620685 cites W571153906 @default.
- W1856620685 doi "https://doi.org/10.1109/pac.2005.1591095" @default.
- W1856620685 hasPublicationYear "2006" @default.
- W1856620685 type Work @default.
- W1856620685 sameAs 1856620685 @default.
- W1856620685 citedByCount "0" @default.
- W1856620685 crossrefType "proceedings-article" @default.
- W1856620685 hasAuthorship W1856620685A5007354836 @default.
- W1856620685 hasAuthorship W1856620685A5085344730 @default.
- W1856620685 hasConcept C121332964 @default.
- W1856620685 hasConcept C134306372 @default.
- W1856620685 hasConcept C190470478 @default.
- W1856620685 hasConcept C2524010 @default.
- W1856620685 hasConcept C2779886137 @default.
- W1856620685 hasConcept C33923547 @default.
- W1856620685 hasConcept C37914503 @default.
- W1856620685 hasConcept C41008148 @default.
- W1856620685 hasConcept C554190296 @default.
- W1856620685 hasConcept C65155139 @default.
- W1856620685 hasConcept C74650414 @default.
- W1856620685 hasConcept C76155785 @default.
- W1856620685 hasConcept C96469262 @default.
- W1856620685 hasConceptScore W1856620685C121332964 @default.
- W1856620685 hasConceptScore W1856620685C134306372 @default.
- W1856620685 hasConceptScore W1856620685C190470478 @default.
- W1856620685 hasConceptScore W1856620685C2524010 @default.
- W1856620685 hasConceptScore W1856620685C2779886137 @default.
- W1856620685 hasConceptScore W1856620685C33923547 @default.
- W1856620685 hasConceptScore W1856620685C37914503 @default.
- W1856620685 hasConceptScore W1856620685C41008148 @default.
- W1856620685 hasConceptScore W1856620685C554190296 @default.
- W1856620685 hasConceptScore W1856620685C65155139 @default.
- W1856620685 hasConceptScore W1856620685C74650414 @default.
- W1856620685 hasConceptScore W1856620685C76155785 @default.
- W1856620685 hasConceptScore W1856620685C96469262 @default.
- W1856620685 hasLocation W18566206851 @default.
- W1856620685 hasOpenAccess W1856620685 @default.
- W1856620685 hasPrimaryLocation W18566206851 @default.
- W1856620685 hasRelatedWork W1650626652 @default.
- W1856620685 hasRelatedWork W1998035926 @default.
- W1856620685 hasRelatedWork W2010367523 @default.
- W1856620685 hasRelatedWork W2045040525 @default.
- W1856620685 hasRelatedWork W2271758893 @default.
- W1856620685 hasRelatedWork W2302927563 @default.
- W1856620685 hasRelatedWork W2485920779 @default.
- W1856620685 hasRelatedWork W2528899996 @default.
- W1856620685 hasRelatedWork W2531340430 @default.
- W1856620685 hasRelatedWork W2803041520 @default.
- W1856620685 hasRelatedWork W2907597669 @default.
- W1856620685 hasRelatedWork W2949702272 @default.
- W1856620685 hasRelatedWork W2997933313 @default.
- W1856620685 hasRelatedWork W3004858142 @default.
- W1856620685 hasRelatedWork W3019142248 @default.
- W1856620685 hasRelatedWork W3100455077 @default.
- W1856620685 hasRelatedWork W3104406452 @default.
- W1856620685 hasRelatedWork W3205537091 @default.
- W1856620685 hasRelatedWork W602315008 @default.
- W1856620685 hasRelatedWork W2556998348 @default.
- W1856620685 isParatext "false" @default.
- W1856620685 isRetracted "false" @default.
- W1856620685 magId "1856620685" @default.
- W1856620685 workType "article" @default.